{"id":5370,"date":"2021-02-01T11:00:59","date_gmt":"2021-02-01T15:00:59","guid":{"rendered":"https:\/\/smartcorp.com\/inventory-optimization\/4-step-inventory-optimization-copy\/"},"modified":"2022-12-20T15:12:46","modified_gmt":"2022-12-20T19:12:46","slug":"maximaliseer-de-machine-uptime-met-probabilistische-forecasting","status":"publish","type":"post","link":"https:\/\/smartcorp.com\/nl\/blog\/maximize-machine-uptime-with-probabilistic-forecasting\/","title":{"rendered":"Maximaliseer machine-uptime met probabilistische modellering"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;section&#8221; module_class=&#8221;blog_css&#8221; _builder_version=&#8221;3.22&#8243; transparent_background=&#8221;off&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;on&#8221;][et_pb_row admin_label=&#8221;row&#8221; _builder_version=&#8221;3.25&#8243; background_size=&#8221;initial&#8221; 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-->.blog_glob article{<!-- [et_pb_line_break_holder] -->width:auto;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] -->margin: auto;<!-- [et_pb_line_break_holder] --> width: 80%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_column .et_pb_blog_grid .column.size-1of2, .et_pb_column .et_pb_widget:nth-child(n) {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> margin: 0 7.5% 7.5% 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 56% !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.sitebar_col{<!-- [et_pb_line_break_holder] --> width: 230px !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 930px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 85%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 870px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 90%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 830px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 97%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.sitebar_col {<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] -->width: 280px;<!-- [et_pb_line_break_holder] --> margin: auto;<!-- 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absolute;<!-- [et_pb_line_break_holder] --> margin-left: -55px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg{<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post-soc-icon a img {<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> margin-bottom: 7px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-soc-icon a {<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text ul li:before {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> width: 7px;<!-- [et_pb_line_break_holder] --> height: 7px;<!-- [et_pb_line_break_holder] --> background: #00964d;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> margin-bottom: 2px;<!-- 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-->.single .et_pb_post{<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.subscribe_bg{<!-- [et_pb_line_break_holder] --> margin-bottom: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] --> margin-bottom: -60px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj{<!-- [et_pb_line_break_holder] -->margin-top:40px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 20px;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb{<!-- [et_pb_line_break_holder] --> padding-top: 10px;<!-- [et_pb_line_break_holder] --> margin-top: 0;<!-- [et_pb_line_break_holder] --> margin-bottom: 10px;<!-- [et_pb_line_break_holder] --> border-bottom: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> border-top: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title{<!-- [et_pb_line_break_holder] -->font-weight: bold;<!-- [et_pb_line_break_holder] -->color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> padding-bottom: 30px;<!-- [et_pb_line_break_holder] --> border-bottom: none;<!-- [et_pb_line_break_holder] --> padding-bottom: 10px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title:after {<!-- [et_pb_line_break_holder] --> content: 'f0dd ';<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-family: fontawesome;<!-- [et_pb_line_break_holder] --> margin-left: 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul{<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul.baccc {<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 850px){<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] --> margin: auto !important;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] 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box_shadow_vertical_button_tablet=&#8221;0px&#8221; box_shadow_vertical_button_phone=&#8221;0px&#8221; box_shadow_blur_button_tablet=&#8221;40px&#8221; box_shadow_blur_button_phone=&#8221;40px&#8221; box_shadow_spread_button_tablet=&#8221;0px&#8221; box_shadow_spread_button_phone=&#8221;0px&#8221; text_shadow_horizontal_length_tablet=&#8221;0em&#8221; text_shadow_horizontal_length_phone=&#8221;0em&#8221; text_shadow_vertical_length_tablet=&#8221;0em&#8221; text_shadow_vertical_length_phone=&#8221;0em&#8221; text_shadow_blur_strength_tablet=&#8221;0em&#8221; text_shadow_blur_strength_phone=&#8221;0em&#8221; sticky_transition=&#8221;on&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<h1 style=\"text-align: center;\">\u00a0Pursuing best practices in demand planning,<\/h1>\n<h1 style=\"text-align: center;\">forecasting and inventory optimization<\/h1>\n<p>[\/et_pb_slide][\/et_pb_fullwidth_slider][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; specialty=&#8221;on&#8221; parallax_method_1=&#8221;off&#8221; parallax_method_2=&#8221;off&#8221; module_class_1=&#8221;blog_col&#8221; module_class_2=&#8221;sitebar_col&#8221; module_class=&#8221;bloggg&#8221; _builder_version=&#8221;3.22&#8243; transparent_background=&#8221;off&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;on&#8221;][et_pb_column type=&#8221;2_3&#8243; specialty_columns=&#8221;2&#8243; _builder_version=&#8221;3.25&#8243; custom_padding=&#8221;|||&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_row_inner admin_label=&#8221;Row&#8221; module_class=&#8221;blog_glob&#8221; _builder_version=&#8221;3.25&#8243;][et_pb_column_inner saved_specialty_column_type=&#8221;2_3&#8243; _builder_version=&#8221;3.25&#8243; custom_padding=&#8221;|||&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_code module_class=&#8221;append_categ&#8221;]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --> if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\".append_categ\").append($(\"#categories-bbb\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][et_pb_text admin_label=&#8221;CONTENT&#8221; module_class=&#8221;post-main_text&#8221; _builder_version=&#8221;4.8.1&#8243; header_4_font=&#8221;Open Sans|700|||||||&#8221; header_4_text_color=&#8221;#000000&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_style=&#8221;solid&#8221;]<\/p>\n<h4><em>Two Inventory Problems<\/em><\/h4>\n<p>If you both make and sell things, you own two inventory problems. Companies that sell things must focus relentlessly on having enough product inventory to meet customer demand. \u00a0Manufacturers and asset intensive industries such as power generation, public transportation, mining, and refining, have an additional inventory concern: \u00a0having enough spare parts to keep their machines running. This technical brief reviews the basics of two probabilistic models of machine breakdown. It also relates machine uptime to the adequacy of spare parts inventory.<\/p>\n<p>&nbsp;<\/p>\n<h4><em>Modeling the failure of a machine treated as a \u201cblack box\u201d<\/em><\/h4>\n<p>Just as product demand is inherently random, so is the timing of machine breakdowns. Likewise, just as probabilistic modeling is the right way to deal with random demand, it is also the right way to deal with random breakdowns.<\/p>\n<p>Models of machine breakdown have two components. The first deals with the random duration of uptime. The second deals with the random duration of downtime.<\/p>\n<p>The field of <em>reliability theory<\/em> offers several standard probability models describing the random time until failure of a machine without regard for the reason for the failure. The simplest model of uptime is the <em>exponential distribution<\/em>. This model says that the <em>hazard rate<\/em>, i.e., the chance of failing in the next instant of time, is constant no matter how long the system has been operating. The exponential model does a good job at modeling certain types of systems, especially electronics, but it is not universally applicable.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><a href='https:\/\/smartcorp.com\/Maximize_Machine_Uptime_Probabilistic_Forecasting.pdf' class='big-button bigblue' target=\"_blank\">Download the Whitepaper<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>The next step up in model complexity is the <em>Weibull<\/em> model (pronounced \u201cWHY-bull\u201d). The Weibull distribution allows the risk of failure to change over time, either decreasing after a burn in period or, more often, increasing as wear and tear accumulate. The exponential distribution is a special case of the Weibull distribution in which the hazard rate is neither increasing nor decreasing.<\/p>\n<div id=\"attachment_5383\" style=\"width: 430px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-5383\" class=\"wp-image-5383 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/02\/Screenshot-2021-01-28-170337-e1611956276751.jpg\" alt=\"Weibull Reliability Plot  \" width=\"420\" height=\"292\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/02\/Screenshot-2021-01-28-170337-e1611956276751.jpg 420w, https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/02\/Screenshot-2021-01-28-170337-e1611956276751-300x209.jpg 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><p id=\"caption-attachment-5383\" class=\"wp-caption-text\">Figure 1: Three different Weibull survival curves<\/p><\/div>\n<p>Figure 1 illustrates the Weibull model\u2019s probability that a machine is still running as a function of how long it has been running. There are three curves corresponding to constant, decreasing and increasing hazard rates. For obvious reasons, these are called <em>survival curves<\/em> because they plot the probability of surviving for various amounts of time (but they are also called <em>reliability curves<\/em>). The black curve that starts high and sinks fast (\u03b2=3) depicts a machine that wears out with age. The lightest curve in the middle fast (\u03b2=1) shows the exponential distribution. The medium-dark curve (\u03b2=0.5) \u00a0is one that has a high early hazard rate but gets better with age.<\/p>\n<p>Of course, there is another phenomenon that needs to be included in the analysis: downtime. Modeling downtime is where inventory theory enters the picture. Downtime is modeled by a mixture of two different distributions. If a spare part is available to replace the failed part, then the downtime can be very brief, say one day. But if there is no spare in stock, then the downtime can be quite long. Even if the spare can be obtained on an expedited basis, it may be several days or a week before the machine can be repaired. If the spare must be fabricated by a far-away supplier and shipped by sea then by rail then trucked to your plant, the downtime could be weeks or months. This all means that keeping a proper inventory of spares is very important to keeping production humming along.<\/p>\n<p>In this aggregated type of analysis, the machine is treated as a black box that is either working or not. Though ignoring the details of which part failed and when, such a model is useful for sizing the pool of machines needed to maintain some minimum level of production capacity with high probability.<\/p>\n<p>The <em>binomial distribution<\/em> is the probability model relevant to this problem. The binomial is the same model that describes, for example, the distribution of the number of \u201cheads\u201d resulting from twenty tosses of a coin. In the machine reliability problem, the machines correspond to coins, and an outcome of heads corresponds to having a working machine.<\/p>\n<p>As an example, if<\/p>\n<ul>\n<li>the chance that any given machine is running on any particular day is 90%<\/li>\n<li>machine failures are independent (e.g., no flood or tornado to wipe them all out at once)<\/li>\n<li>you require at least a 95% chance that at least 5 machines are running on any given day<\/li>\n<\/ul>\n<p>then the binomial model prescribes seven machines to achieve your goal.<\/p>\n<p>&nbsp;<\/p>\n<h4><em>Modeling machine failures based on component failures<\/em><\/h4>\n<h4><em><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-5385 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/02\/machine-Spare-Parts-machine-uptime-software-e1611956510558.jpg\" alt=\"Maximize Machine Uptime with Probabilistic Modeling\" width=\"390\" height=\"260\" \/><\/em><\/h4>\n<p>The Weibull model can also be used to describe the failure of a single part. However, any realistically complex production machine will have multiple parts and therefore have multiple failure modes. This means that calculating the time until the machine fails requires analysis of a \u201crace to failure\u201d, with each part vying for the \u201chonor\u201d of being the first to fail.<\/p>\n<p>If we make the reasonable assumption that parts fail independently, standard probability theory points the way to combining the models of individual part failure into an overall model of machine failure. The time until the first of many parts fails has a <em>poly-Weibull<\/em> distribution. At this point, though, the analysis can get quite complicated, and the best move may be to switch from analysis-by-equation to analysis-by-simulation.<\/p>\n<h4>\u00a0<\/h4>\n<h4><em>Simulating machine failure from the details of part failures<\/em><\/h4>\n<p>Simulation analysis got its modern start as a spinoff of the Manhattan Project to build the first atomic bomb. The method is also commonly called <em>Monte Carlo simulation<\/em> after the biggest gambling center on earth back in the day (today it would be \u201cMacau simulation\u201d).<\/p>\n<p>A simulation model converts the logic of the sequence of random events into corresponding computer code. Then it uses computer-generated (pseudo-)random numbers as fuel to drive the simulation model. For example, each component\u2019s failure time is created by drawing from its particular Weibull failure time distribution. Then the soonest of those failure times begins the next episode of machine downtime.<\/p>\n<div id=\"attachment_5384\" style=\"width: 465px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-5384\" class=\"wp-image-5384 size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/02\/Screenshot-2021-01-28-175111-e1611956554994.jpg\" alt=\"simulation of machine uptime over one year of operation\" width=\"455\" height=\"240\" \/><p id=\"caption-attachment-5384\" class=\"wp-caption-text\">Figure 2: A simulation of machine uptime over one year of operation<\/p><\/div>\n<p>Figure 2 shows the results of a simulation of the uptime of a single machine. Machines cycle through alternating periods of uptime and downtime. In this simulation, uptime is assumed to have an exponential distribution with an average duration (<em>MTBF <\/em>= Mean Time Before Failure) of 30 days. Downtime has a 50:50 split between 1 day if a spare is available and 30 days if not. In the simulation shown in Figure 2, the machine is working during 85% of the days in one year of operation.<\/p>\n<h4>\u00a0<\/h4>\n<h4><em>An approximate formula for machine uptime<\/em><\/h4>\n<p>Although Monte Carlo simulation can provide more exact results, a simpler algebraic model does well as an approximation and makes it easier to see how the key variables relate.<\/p>\n<p>Define the following key variables:<\/p>\n<ul>\n<li>MTBF = Mean Time Before Failure (days)<\/li>\n<li>Pa = Probability that there is a spare part available when needed<\/li>\n<li>MDTshort = Mean Down Time if there is a spare available when needed<\/li>\n<li>MDTlong = Mean Down Time if there is no spare available when needed<\/li>\n<li>Uptime = Percentage of days in which the machine is up and running.<\/li>\n<\/ul>\n<p>Then there is a simple approximation for the Uptime:<\/p>\n<p>Uptime \u2248 100 x MTBF\/(MTBF + MDTshort x Pa + MDTlong x (1-Pa)).\u00a0 \u00a0\u00a0(Equation 1)<\/p>\n<p>Equation 1 tells us that the uptime depends on the availability of a spare. If there is always a spare (Pa=1), then uptime achieves a peak value of about 100 x MTBF\/(MTBF + MDTshort). If there is never a spare available (Pa=0), then uptime achieve its lowest value of about 100 x MTBF\/(MTBF + MDTlong). When the repair time is about as long as the typical time between failures, uptime sinks to an unacceptable level near 50%. If a spare is always available, uptime can approach 100%.<\/p>\n<h4><em>Relating machine downtime to spare parts inventory<\/em><\/h4>\n<p>Minimizing downtime requires a multi-pronged initiative involving intensive operator training, use of quality raw materials, effective preventive maintenance \u2013 and adequate spare parts. The first three set the conditions for good results. The last deals with contingencies.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5316 \" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/01\/Inventory-Planning-for-Manufacturers-MRO-SAAS.jpg\" alt=\"Inventory Planning for Manufacturers MRO SAAS\" width=\"906\" height=\"227\" \/><\/p>\n<p>Once a machine is down, money is flying out the door and there is a premium on getting it back up pronto. This scene could play out in two ways. The good one has a spare part ready to go, so the downtime can be kept to a minimum. The bad one has no available spare, so there is a scramble to expedite delivery of the needed part. In this case, the manufacturer must bear both the cost of lost production and the cost of expedited shipping, if that is even an option.<\/p>\n<p>If the inventory system is properly designed, spare parts availability will not be a major impediment to machine uptime. By the design of an inventory system, I mean the results of several choices: whether the shortage policy is a backorder policy or a loss policy, whether the inventory review cycle is periodic or continuous, and what reorder points and order quantities are established.<\/p>\n<p>When inventory policies for products are designed, they are evaluated using several criteria. Service Level is the percentage of replenishment periods that pass without a stockout. Fill Rate is the percentage of units ordered that is supplied immediately from stock. Average Inventory Level is the typical number of units on hand.<\/p>\n<p>None of these is exactly the metric needed for spare parts stocking, though they all are related. The needed metric is Item Availability, which is the percentage of days in which there is at least one spare ready for use. Higher Service Levels, Fill Rates, and Inventory Levels all imply high Item Availability, and there are ways to convert from one to the other. (When dealing with multiple machines sharing the same stock of spares, Inventory Availability gets replaced by the probability distribution of the number of spares on any given day. We leave that more complex problem for another day.)<\/p>\n<p>Clearly, keeping a good supply of spares reduces the costs of machine downtime. Of course, keeping a good supply of spares creates its own inventory holding and ordering costs. This is the manufacturer\u2019s second inventory problem. As with any decision involving inventory, the key is to strike the right balance between these two competing cost centers. See <a href=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2019\/10\/Probabilistic-Forecasting-for-Intermittent-Demand.pdf\">this article on probabilistic forecasting for intermittent demand<\/a> for guidance on striking that balance.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1527\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png\" alt=\"\" width=\"700\" height=\"250\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png 700w, https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom-480x171.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 700px, 100vw\" \/><\/a><\/p>\n<p>[\/et_pb_text][et_pb_code module_class=&#8221;comment_sect&#8221; _builder_version=&#8221;4.8.1&#8243;]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. 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_builder_version=&#8221;3.19.11&#8243;][\/et_pb_fullwidth_code][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Als je zowel dingen maakt als verkoopt, heb je twee voorraadproblemen. Bedrijven die dingen verkopen, moeten zich onophoudelijk concentreren op het hebben van voldoende productvoorraad om aan de vraag van de klant te voldoen. Fabrikanten en activa-intensieve industrie\u00ebn zoals energieopwekking, openbaar vervoer, mijnbouw en raffinage, hebben een extra zorg voor de inventaris: ze hebben voldoende reserveonderdelen om hun machines draaiende te houden.<br \/>\nIn deze technische briefing worden de basisprincipes van twee probabilistische modellen van machinestoringen besproken. Het relateert ook de uptime van machines aan de toereikendheid van de voorraad reserveonderdelen.<\/p>","protected":false},"author":122,"featured_media":5387,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<p>[et_pb_section bb_built=\"1\" admin_label=\"section\" transparent_background=\"off\" allow_player_pause=\"off\" inner_shadow=\"off\" parallax=\"off\" parallax_method=\"off\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" make_equal=\"off\" use_custom_gutter=\"off\" module_class=\"blog_css\"][et_pb_row admin_label=\"row\"][et_pb_column type=\"4_4\"][et_pb_code admin_label=\"CSS\"]<style><!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> box-shadow: 0px 0px 5px silver !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#main-footer {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- 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[et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-meta{<!-- [et_pb_line_break_holder] --> color: #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> font-size: 13px !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> padding-bottom: 10px !important;<!-- [et_pb_line_break_holder] --> margin-bottom: 19px !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> .post-content p{<!-- [et_pb_line_break_holder] --> margin-bottom: 12px !important;<!-- [et_pb_line_break_holder] --> padding-bottom: 18px !important;<!-- [et_pb_line_break_holder] --> color: #707070 !important;<!-- [et_pb_line_break_holder] --> font-size: 16px !important;<!-- [et_pb_line_break_holder] --> line-height: 24px !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->.post-meta .author.vcard a{<!-- [et_pb_line_break_holder] --> font-style: italic !important;<!-- [et_pb_line_break_holder] --> color: #a3a3a3 !important;<!-- [et_pb_line_break_holder] --> font-size: 13px !important;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->@media (max-width: 1150px){<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> width: 60%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1060px){<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> width: 55%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 980px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_glob{<!-- [et_pb_line_break_holder] -->width: auto;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] -->width:auto;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] -->margin: auto;<!-- [et_pb_line_break_holder] --> width: 80%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_column .et_pb_blog_grid .column.size-1of2, .et_pb_column .et_pb_widget:nth-child(n) {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> margin: 0 7.5% 7.5% 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 56% !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.sitebar_col{<!-- [et_pb_line_break_holder] --> width: 230px !important;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 930px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 85%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 870px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 90%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 830px){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.bloggg>div{<!-- [et_pb_line_break_holder] --> width: 97%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.sitebar_col {<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] --> padding: 45px 20px 10px 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] -->width: 280px;<!-- [et_pb_line_break_holder] --> margin: auto;<!-- [et_pb_line_break_holder] -->padding-bottom:20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_post .entry-featured-image-url {<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> margin-right: 0 !important;<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> position: relative !important;<!-- [et_pb_line_break_holder] --> bottom: 0 !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-content {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_top_title {<!-- [et_pb_line_break_holder] --> line-height: 38px;<!-- [et_pb_line_break_holder] --> font-size: 34px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article h2 a {<!-- [et_pb_line_break_holder] --> line-height: 28px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bg {<!-- [et_pb_line_break_holder] --> padding: 50px 15px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><\/style>[\/et_pb_code][et_pb_code admin_label=\"POST CSS\"]<style><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 1320px){<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article img {<!-- [et_pb_line_break_holder] --> width: 160px !important;<!-- [et_pb_line_break_holder] --> height: 160px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article {<!-- [et_pb_line_break_holder] --> width: 180px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1160px){<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(2) {<!-- [et_pb_line_break_holder] --> display:none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article .entry-title{<!-- [et_pb_line_break_holder] --> height: 85px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts{<!-- [et_pb_line_break_holder] --> margin: auto;<!-- [et_pb_line_break_holder] --> float: none;<!-- [et_pb_line_break_holder] --> width: 390px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.relposts:after {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> clear: both;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article h2 a{<!-- [et_pb_line_break_holder] --> font-size: 13.08px !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->.relposts article {<!-- [et_pb_line_break_holder] --> margin-bottom: 25px !important ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article .entry-title{<!-- [et_pb_line_break_holder] -->margin-top:2px;<!-- [et_pb_line_break_holder] --> line-height: 0.7em !important;<!-- [et_pb_line_break_holder] --> height: 70px ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article{<!-- [et_pb_line_break_holder] --> width: 212px ;<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] --> float: left !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(1) {<!-- [et_pb_line_break_holder] --> margin-right: 25px ;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts article:nth-child(2) {<!-- [et_pb_line_break_holder] --> margin-right: 25px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .relposts article{<!-- [et_pb_line_break_holder] -->display: inline-block;<!-- [et_pb_line_break_holder] --> padding: 10px 10px 30px 10px !important;<!-- [et_pb_line_break_holder] --> box-shadow: 0px 0px 5px silver !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] --> padding: 10px 10px 30px 10px !important;<!-- [et_pb_line_break_holder] --> box-shadow: 0px 0px 5px silver !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts .et_pb_post .entry-featured-image-url {<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> margin-right: 0 !important;<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> position: relative !important;<!-- [et_pb_line_break_holder] --> bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-content{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.relposts_title{<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 15px;<!-- [et_pb_line_break_holder] --> margin-top: 70px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj{<!-- [et_pb_line_break_holder] --> margin-top: 60px;<!-- [et_pb_line_break_holder] --> margin-bottom: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li a {<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> line-height: 32px;<!-- [et_pb_line_break_holder] --> color: #3c3c3c;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul {<!-- [et_pb_line_break_holder] --> padding: 0 !important;<!-- [et_pb_line_break_holder] --> margin-top: 0;<!-- [et_pb_line_break_holder] --> list-style-type: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.categ_title {<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> padding-bottom: 30px;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li{<!-- [et_pb_line_break_holder] -->text-decoration: none;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> line-height: 32px;<!-- [et_pb_line_break_holder] --> color: #3c3c3c;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.widget_categories_jj ul li {<!-- [et_pb_line_break_holder] --> list-style-type: none;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] --> padding: 10px 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.share_blog{<!-- [et_pb_line_break_holder] -->margin:5px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->div.wp_rp_content {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-soc-icon img{<!-- [et_pb_line_break_holder] --> width: inherit !important;<!-- [et_pb_line_break_holder] --> height: inherit !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post_soc {<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> margin-left: -55px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg{<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post-soc-icon a img {<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> margin-bottom: 7px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-soc-icon a {<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text ul li:before {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> width: 7px;<!-- [et_pb_line_break_holder] --> height: 7px;<!-- [et_pb_line_break_holder] --> background: #00964d;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> margin-bottom: 2px;<!-- [et_pb_line_break_holder] --> margin-right: 8px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text ul li {<!-- [et_pb_line_break_holder] --> list-style-type: none;<!-- [et_pb_line_break_holder] --> line-height: 30px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text {<!-- [et_pb_line_break_holder] -->text-align: justify; <!-- [et_pb_line_break_holder] --> color: #404040;<!-- [et_pb_line_break_holder] --> font-size: 16px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text a{<!-- [et_pb_line_break_holder] -->color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text span{<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-main_text strong{<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 400;<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img{<!-- [et_pb_line_break_holder] --> width: 400px !important;<!-- [et_pb_line_break_holder] --> height: 280px !important;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper .entry-title{<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 8px;<!-- [et_pb_line_break_holder] --> text-decoration: none;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single.et_pb_pagebuilder_layout.et_full_width_page .et_post_meta_wrapper {<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-meta>a, .comments-number{<!-- [et_pb_line_break_holder] -->display:none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single.et_pb_pagebuilder_layout.et_full_width_page .et_post_meta_wrapper {<!-- [et_pb_line_break_holder] --> padding-top: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bg{<!-- [et_pb_line_break_holder] -->padding: 120px 15px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#left-area {<!-- [et_pb_line_break_holder] --> padding-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single .et_pb_post{<!-- [et_pb_line_break_holder] --> padding-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.single .et_pb_post{<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.subscribe_bg{<!-- [et_pb_line_break_holder] --> margin-bottom: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj {<!-- [et_pb_line_break_holder] --> margin-bottom: -60px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ghj{<!-- [et_pb_line_break_holder] -->margin-top:40px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 20px;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb{<!-- [et_pb_line_break_holder] --> padding-top: 10px;<!-- [et_pb_line_break_holder] --> margin-top: 0;<!-- [et_pb_line_break_holder] --> margin-bottom: 10px;<!-- [et_pb_line_break_holder] --> border-bottom: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> border-top: 2px solid #0d4c92;<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title{<!-- [et_pb_line_break_holder] -->font-weight: bold;<!-- [et_pb_line_break_holder] -->color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-size: 26px;<!-- [et_pb_line_break_holder] --> padding-bottom: 30px;<!-- [et_pb_line_break_holder] --> border-bottom: none;<!-- [et_pb_line_break_holder] --> padding-bottom: 10px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.categ_title:after {<!-- [et_pb_line_break_holder] --> content: '\\f0dd ';<!-- [et_pb_line_break_holder] --> color: #0d4c92;<!-- [et_pb_line_break_holder] --> font-family: fontawesome;<!-- [et_pb_line_break_holder] --> margin-left: 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul{<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-bbb ul.baccc {<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 850px){<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] --> margin: auto !important;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.sitebar_col {<!-- [et_pb_line_break_holder] --> width: 190px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><\/style>[\/et_pb_code][et_pb_code admin_label=\"Code\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> $(window).scroll(function() {<!-- [et_pb_line_break_holder] -->if ($(window).scrollTop() >= 400 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"fixed\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"170px\");<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->if ($(window).scrollTop() < 400 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"absolute\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"55px\"); <!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"position\",\"relative\");<!-- [et_pb_line_break_holder] --> $(\"#tabb\").css(\"top\",\"0px\");<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> }); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][et_pb_code admin_label=\"Comment CSS\"]<style><!-- [et_pb_line_break_holder] -->#comment-wrap {<!-- [et_pb_line_break_holder] --> padding-top: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.com_title{<!-- [et_pb_line_break_holder] --> color: #00964d;<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 36px;<!-- [et_pb_line_break_holder] --> padding-top: 40px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_sect {<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_area p{<!-- [et_pb_line_break_holder] --> font-size: 18px;<!-- [et_pb_line_break_holder] --> font-style: italic;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.reply-container,#comments,.comment-reply-title{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article {<!-- [et_pb_line_break_holder] --> box-shadow: none !important;<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] --> padding: 20px 34px 10px 5px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_area{<!-- [et_pb_line_break_holder] --> width: 90%;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_postinfo {<!-- [et_pb_line_break_holder] --> display: none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->img.avatar.avatar-80.photo {<!-- [et_pb_line_break_holder] --> width: 50px;<!-- [et_pb_line_break_holder] --> height: 50px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit{<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> right: 25px;<!-- [et_pb_line_break_holder] --> bottom: 30px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_module .et_pb_button:hover, .et_pb_button:hover {<!-- [et_pb_line_break_holder] --> padding: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit input:hover{<!-- [et_pb_line_break_holder] --> width: 44px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> opacity: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit input{<!-- [et_pb_line_break_holder] --> width: 44px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> border-radius: 50%;<!-- [et_pb_line_break_holder] --> opacity: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.form-submit:before {<!-- [et_pb_line_break_holder] --> content: '';<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> width: 46px;<!-- [et_pb_line_break_holder] --> height: 46px;<!-- [et_pb_line_break_holder] --> background-image: url(https:\/\/smartcorp.com\/wp-content\/uploads\/2017\/05\/comment.png);<!-- [et_pb_line_break_holder] --> background-repeat: no-repeat;<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> z-index: 0;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 270px !important;<!-- [et_pb_line_break_holder] --> margin-right: 36px !important;<!-- [et_pb_line_break_holder] --> border-left: none !important;<!-- [et_pb_line_break_holder] --> border-right: none !important;<!-- [et_pb_line_break_holder] --> border-top: none !important;<!-- [et_pb_line_break_holder] --> border-color: #d6d6d6 !important;<!-- [et_pb_line_break_holder] --> height: 44px !important;<!-- [et_pb_line_break_holder] --> border-width: 1px !important;<!-- [et_pb_line_break_holder] --> margin-right: 20px !important;<!-- [et_pb_line_break_holder] --> background: transparent !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #ccc !important;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 270px !important;<!-- [et_pb_line_break_holder] --> border-left: none !important;<!-- [et_pb_line_break_holder] --> border-right: none !important;<!-- [et_pb_line_break_holder] --> border-top: none !important;<!-- [et_pb_line_break_holder] --> border-color: #d6d6d6 !important;<!-- [et_pb_line_break_holder] --> height: 44px !important;<!-- [et_pb_line_break_holder] --> border-width: 1px !important;<!-- [et_pb_line_break_holder] --> margin-right: 5px !important;<!-- [et_pb_line_break_holder] --> background: transparent !important;<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #ccc !important;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> display: block;<!-- [et_pb_line_break_holder] --> width: 560px !important;<!-- [et_pb_line_break_holder] --> margin-top: 55px;<!-- [et_pb_line_break_holder] --> border-left: none !important;<!-- [et_pb_line_break_holder] --> border-right: none !important;<!-- [et_pb_line_break_holder] --> border-top: none !important;<!-- [et_pb_line_break_holder] --> height: 70px;<!-- [et_pb_line_break_holder] --> border-color: #d6d6d6 !important;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] --> background: transparent !important; <!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #ccc !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-notes{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_sect{<!-- [et_pb_line_break_holder] --> padding: 40px;<!-- [et_pb_line_break_holder] --> margin-top: 50px;<!-- [et_pb_line_break_holder] --> border: 1px solid #707070;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#commentform{<!-- [et_pb_line_break_holder] --> position: relative;<!-- [et_pb_line_break_holder] -->display:flex;<!-- [et_pb_line_break_holder] -->display: -webkit-flex;<!-- [et_pb_line_break_holder] -->flex-direction: row;<!-- [et_pb_line_break_holder] --> flex-wrap: wrap;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->p.comment-notes {-webkit-order: 1;}<!-- [et_pb_line_break_holder] -->p.comment-form-comment {-webkit-order: 4;}<!-- [et_pb_line_break_holder] -->p.comment-form-author {-webkit-order: 2;}<!-- [et_pb_line_break_holder] -->p.comment-form-email {-webkit-order: 3;}<!-- [et_pb_line_break_holder] -->p.form-submit {-webkit-order: 5;}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->\/* Standard syntax *\/<!-- [et_pb_line_break_holder] -->p.comment-notes {order: 1;}<!-- [et_pb_line_break_holder] -->p.comment-form-comment {order: 4;}<!-- [et_pb_line_break_holder] -->p.comment-form-author {order: 2;}<!-- [et_pb_line_break_holder] -->p.comment-form-email {order: 3;}<!-- [et_pb_line_break_holder] -->p.form-submit {-webkit-order: 5;}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->@media (max-width: 1267px){<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> width: 500px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 240px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 240px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1150px){<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> width: 420px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 200px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 200px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_area {<!-- [et_pb_line_break_holder] --> width: 80%;<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1150px){<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> width: 100%!important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 210px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 210px!important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 1040px){<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> width: 100%!important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 190px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 190px!important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 980px){<!-- [et_pb_line_break_holder] -->.comment-form-comment textarea{<!-- [et_pb_line_break_holder] --> width: 100%!important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-comment{<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email{<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-email input{<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author input{<!-- [et_pb_line_break_holder] --> width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment-form-author{<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] --> width: 100%;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->@media (max-width: 767px){<!-- [et_pb_line_break_holder] -->.bloggg >div{<!-- [et_pb_line_break_holder] --> width: 90% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.comment_sect {<!-- [et_pb_line_break_holder] --> padding: 15px !important;<!-- [et_pb_line_break_holder] --> margin-top: 24px !important;<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.com_title {<!-- [et_pb_line_break_holder] --> margin-bottom: 16px !important;<!-- [et_pb_line_break_holder] --> padding-top: 20px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_col {<!-- [et_pb_line_break_holder] --> margin-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob {<!-- [et_pb_line_break_holder] --> padding-bottom: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-soc-icon a img {<!-- [et_pb_line_break_holder] --> display: inline-block;<!-- [et_pb_line_break_holder] --> margin-bottom: 0;<!-- [et_pb_line_break_holder] --> margin: 0px 4px 0px 4px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post_soc{<!-- [et_pb_line_break_holder] -->position: relative;<!-- [et_pb_line_break_holder] --> top: 0px;<!-- [et_pb_line_break_holder] --> text-align: center;<!-- [et_pb_line_break_holder] --> margin-left: 0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .et_post_meta_wrapper{<!-- [et_pb_line_break_holder] -->text-align: center;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob .et_post_meta_wrapper h1{<!-- [et_pb_line_break_holder] -->text-align: left !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_post_meta_wrapper img {<!-- [et_pb_line_break_holder] --> width: auto !important;<!-- [et_pb_line_break_holder] --> height: auto !important;<!-- [et_pb_line_break_holder] --> float: none !important;<!-- [et_pb_line_break_holder] --> text-align: center !important;<!-- [et_pb_line_break_holder] --> margin: auto !important;<!-- [et_pb_line_break_holder] --> max-width: 100% !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.post-meta {<!-- [et_pb_line_break_holder] --> text-align: left !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.bloggg{<!-- [et_pb_line_break_holder] -->padding-top:0 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><\/style>[\/et_pb_code][et_pb_code admin_label=\"Code\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".commentlist\").prepend($(\".comment-respond\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".comment_sect\").prepend($(\".com-title\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][et_pb_code admin_label=\"Code\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(document).ready(function (){<!-- [et_pb_line_break_holder] --> $(\".categ_title\").click(function(){<!-- [et_pb_line_break_holder] --> $(\"#categories-bbb ul\").toggleClass(\"baccc\");<!-- [et_pb_line_break_holder] --> }) <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section bb_built=\"1\" admin_label=\"Section\" fullwidth=\"off\" specialty=\"off\" transparent_background=\"off\" allow_player_pause=\"off\" inner_shadow=\"off\" parallax=\"off\" parallax_method=\"off\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" make_equal=\"off\" use_custom_gutter=\"off\" module_class=\"blog_bg\"][et_pb_row admin_label=\"Row\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" use_custom_gutter=\"off\" allow_player_pause=\"off\" parallax=\"off\" parallax_method=\"off\" make_equal=\"off\" parallax_1=\"off\" parallax_method_1=\"off\" module_class=\"blog_top_bgg\"][et_pb_column type=\"4_4\"][et_pb_code admin_label=\"Code\"]<style> <!-- [et_pb_line_break_holder] -->.blog_bg{<!-- [et_pb_line_break_holder] -->background-image: url(https:\/\/smartcorp.com\/wp-content\/uploads\/2017\/05\/header.jpg);}<!-- [et_pb_line_break_holder] --><\/style>[\/et_pb_code][et_pb_text admin_label=\"Text\" background_layout=\"light\" text_orientation=\"center\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\" module_class=\"blog_top_title\"]<\/p><p>The Smart Forecaster<\/p><p>[\/et_pb_text][et_pb_text admin_label=\"Text\" background_layout=\"light\" text_orientation=\"center\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\" module_class=\"blog_top_text\"]<\/p><p>Pursuing best practices in demand planning, forecasting and inventory optimization<\/p><p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section bb_built=\"1\" admin_label=\"Section\" fullwidth=\"off\" specialty=\"off\" transparent_background=\"off\" allow_player_pause=\"off\" inner_shadow=\"off\" parallax=\"off\" parallax_method=\"off\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" make_equal=\"off\" use_custom_gutter=\"off\" module_class=\"uuul\"][et_pb_row admin_label=\"Row\"][et_pb_column type=\"4_4\"][et_pb_code admin_label=\"SHARE\" module_class=\"share_blog\"]<!-- Place this tag in your head or just before your close body tag. --><!-- [et_pb_line_break_holder] --><script src=\"https:\/\/apis.google.com\/js\/platform.js\" async defer><\/script><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><div id=\"tabb\" class=\"post_soc\"><!-- [et_pb_line_break_holder] --> 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parallax_2=\"off\" parallax_method_2=\"off\" module_class=\"bloggg\" module_class_1=\"blog_col\" module_class_2=\"sitebar_col\"][et_pb_column type=\"2_3\" specialty_columns=\"2\"][et_pb_row_inner admin_label=\"Row\" use_custom_gutter=\"off\" make_equal=\"off\" parallax_1=\"off\" parallax_method_1=\"off\" module_class=\"blog_glob\"][et_pb_column_inner type=\"4_4\" saved_specialty_column_type=\"2_3\"][et_pb_code admin_label=\"Code\" module_class=\"append_categ\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. Use $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(window).on('load', function(){<!-- [et_pb_line_break_holder] --> if ($(window).width() < 767 ) {<!-- [et_pb_line_break_holder] --> $(\".append_categ\").append($(\"#categories-bbb\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][et_pb_text admin_label=\"CONTENT\" background_layout=\"light\" text_orientation=\"left\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\" module_class=\"post-main_text\"]<\/p><p>In our travels around the industrial scene, we notice that many companies pay more attention to inventory Turns than they should. We would like to deflect some of this attention to more consequential performance metrics.<\/p><p>Recall the definition: Turns = Annual dollar cost of goods sold \/ Average dollar value of inventory. If you sell $1 million of stuff in a year and have an average of $100,000 of stuff on the shelf each day, you are running at an impressive 10 Turns (Walmart runs at around 8). Supposedly, having high Turns signals efficient management, and keeping your Turns higher than competitors\u2019 signals competitive advantage.<\/p><p>But as happens with most performance metrics, there is more to the story. Turns may be very salient to the CFO, but they can be a straightjacket to the COO. This is because Turns are not directly related to customer service; in fact, high Turns can be synonymous with low service levels and fill rates. S&OP consultant Darrin Oliver calls Turns his \u201cpet peeve metric\u201d because \u201cthe customer doesn\u2019t care about Turns.\u201d<\/p><p>Suppose you are unhappy with your current Turns value. What can you do to boost the number? Since Turns is a ratio, you can increase it by either increasing the numerator (goods sold) or decreasing the denominator (inventory). Increasing sales is more difficult because it requires the cooperation of the customer. Decreasing <a href=\"https:\/\/smartcorp.com\/service-level-driven-demand-planning-webinar\/\" target=\"_blank\" rel=\"noopener\">inventory<\/a> is easier because it\u2019s completely under your control: just make smaller replenishment orders, which also saves money in the short run. Indeed, you can get very enthusiastic and cut inventory to the bone. You end up with a better looking number for Turns\u2014and a serious problem with stockouts, backorders, lost sales, lost customer good will and lost market share. Who\u2019s sorry now?<\/p><p>Here\u2019s a lightly edited version of a story on this topic told by a very wise practitioner. \u201cBack in my other life they were all about improving Turns. Why, I have no idea. So I pointed out the risks that you run. And they really weren\u2019t interested. So we took our global inventories down to [a lower level], and then were breaking on stock left and right on a daily basis. Our turns were great, but we weren\u2019t making any money, because we couldn\u2019t get anything out the door, because we didn\u2019t own it. The higher your turns, the lower your inventory\u2019s going to have to be, or you\u2019re just going to have really good flow. And in our industry that\u2019s a very, very difficult thing to achieve. So if we can have reasonable Turns but still be in stock, I think that\u2019s what we want to do. It can be very frustrating in an operations world to try to explain what we do every day and what the risks to the business are when the financial people are just looking at one or two metrics. They\u2019re basically trying to plan the business in a vacuum, and it\u2019s very difficult and very risky to do that.\u201d<\/p><p><em>Thomas Willemain, PhD, co-founded Smart Software and currently serves as Senior Vice President for Research. Dr. Willemain also serves as Professor Emeritus of Industrial and Systems Engineering at Rensselear Polytechnic Institute and as a member of the research staff at the Center for Computing Sciences, Institute for Defense Analyses.<\/em><\/p><p>[\/et_pb_text][et_pb_code admin_label=\"Code\" module_class=\"comment_sect\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [et_pb_line_break_holder] --> \/\/ Stuff to do as soon as the DOM is ready. 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