{"id":6799,"date":"2021-11-21T10:00:52","date_gmt":"2021-11-21T14:00:52","guid":{"rendered":"https:\/\/smartcorp.com\/inventory-optimization\/fact-and-fantasy-in-multiechelon-inventory-optimization-copy\/"},"modified":"2023-08-01T08:36:43","modified_gmt":"2023-08-01T12:36:43","slug":"software-de-gestion-de-inventario-de-varios-niveles-basado-en-simulacion","status":"publish","type":"post","link":"https:\/\/smartcorp.com\/es\/inventory-optimization\/simulation-based-multiechelon-inventory-management-software\/","title":{"rendered":"Ejemplos de optimizaci\u00f3n en Inventarios multi-escal\u00f3n, basados en simulaci\u00f3n"},"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;4.16&#8243; transparent_background=&#8221;off&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;on&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row 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-->.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] -->}<!-- 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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 _builder_version=&#8221;4.16&#8243; global_colors_info=&#8221;{}&#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 $() w\/o colliding with other libs<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->$(document).ready(function (){<!-- [et_pb_line_break_holder] --> $(\".categ_title\").click(function(){<!-- [et_pb_line_break_holder] --> $(\"#categories-bbb ul\").toggleClass(\"baccc\");<!-- [et_pb_line_break_holder] --> }) <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;0px||||false|false&#8221; custom_padding=&#8221;0px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row admin_label=&#8221;Row&#8221; module_class=&#8221;blog_glob&#8221; _builder_version=&#8221;4.16&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; saved_specialty_column_type=&#8221;2_3&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_code module_class=&#8221;append_categ&#8221; _builder_version=&#8221;4.16&#8243; global_colors_info=&#8221;{}&#8221;]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [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 content_last_edited=&#8221;off|desktop&#8221; admin_label=&#8221;CONTENT&#8221; module_class=&#8221;post-main_text&#8221; _builder_version=&#8221;4.16&#8243; header_3_text_color=&#8221;#0c71c3&#8243; header_3_font_size=&#8221;19px&#8221; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; z_index_tablet=&#8221;500&#8243; text_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; text_text_shadow_vertical_length_tablet=&#8221;0px&#8221; text_text_shadow_blur_strength_tablet=&#8221;1px&#8221; link_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; link_text_shadow_vertical_length_tablet=&#8221;0px&#8221; link_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ul_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ul_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ul_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ol_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ol_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ol_text_shadow_blur_strength_tablet=&#8221;1px&#8221; quote_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; quote_text_shadow_vertical_length_tablet=&#8221;0px&#8221; quote_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_2_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_2_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_2_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_3_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_3_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_3_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_4_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_4_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_4_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_5_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_5_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_5_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_6_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_6_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_6_text_shadow_blur_strength_tablet=&#8221;1px&#8221; box_shadow_horizontal_tablet=&#8221;0px&#8221; box_shadow_vertical_tablet=&#8221;0px&#8221; box_shadow_blur_tablet=&#8221;40px&#8221; box_shadow_spread_tablet=&#8221;0px&#8221; use_border_color=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>Managing the inventory in a single facility is difficult enough, but the problem becomes much more complex when there are multiple facilities arrayed in multiple echelons. The complexity arises from the interactions among the echelons, with demands at the lower levels bubbling up and any shortages at the higher levels cascading down.<\/p>\n<p>If each of the facilities were to be managed in isolation, standard methods could be used, without regard to interactions, to set inventory control parameters such as reorder points and order quantities. However, ignoring the interactions between levels can lead to catastrophic failures. Experience and trial and error allow the design of stable systems, but that stability can be shattered by changes in demand patterns or lead times or by the addition of new facilities. Coping with such changes is greatly aided by advanced supply chain analytics, which provide a safe \u201csandbox\u201d within which to test out proposed system changes before deploying them. This blog illustrates that point.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>The Scenario<\/strong><\/p>\n<p>To have some hope of discussing this problem usefully, this blog will simplify the problem by considering the two-level hierarchy pictured in Figure 1. Imagine the facilities at the lower level to be warehouses (WHs) from which customer demands are meant to be satisfied, and that the inventory items at each WH are service parts sold to a wide range of external customers.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/fact-and-fantasy-in-multiechelon-inventory-optimization\/attachment\/fact-and-fantasy-in-multiechelon-inventory-optimization\/\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6510 alignnone size-large\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Fact-and-Fantasy-in-Multiechelon-Inventory-Optimization-1024x636.jpg\" alt=\"Fact and Fantasy in Multiechelon Inventory Optimization\" width=\"1024\" height=\"636\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Fact-and-Fantasy-in-Multiechelon-Inventory-Optimization-980x609.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Fact-and-Fantasy-in-Multiechelon-Inventory-Optimization-480x298.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/a><\/p>\n<p>Figure 1: General structure of one type of two-level inventory system<\/p>\n<p>Imagine the higher level to consist of a single distribution center (DC) which does not service customers directly but does replenish the WHs. For simplicity, assume the DC itself is replenished from a Source that always has (or makes) sufficient stock to immediately ship parts to the DC, though with some delay. (Alternatively, we could consider the system to have retail stores supplied by one warehouse).<\/p>\n<p>Each level can be described in terms of demand levels (treated as random), lead times (random), inventory control parameters (here, Min and Max values) and shortage policy (here, backorders allowed).<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong>The Method of Analysis<\/strong><\/p>\n<p>The academic literature has made progress on this problem, though usually at the cost of simplifications necessary to facilitate a purely mathematical solution. Our approach here is more accessible and flexible: Monte Carlo simulation. That is, we build a computer program that incorporates the logic of the system operation. The program \u201ccreates\u201d random demand at the WH level, processes the demand according to the logic of a chosen inventory policy, and creates demand for the DC by pooling the random requests for replenishment made by the WHs. This approach lets us observe many simulated days of system operation while watching for significant events like stockouts at either level.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong>An Example<\/strong><\/p>\n<p>To illustrate an analysis, we simulated a system consisting of four WHs and one DC. Average demand varied across the WHs. Replenishment from the DC to any WH took from 4 to 7 days, averaging 5.15 days. Replenishment of the DC from the Source took either 7, 14, 21 or 28 days, but 90% of the time it was either 21 or 28 days, making the average 21 days. Each facility had Min and Max values set by analyst judgement after some rough calculations.<\/p>\n<p>Figure 2 shows the results of one year of simulated daily operation of this system. The first row in the figure shows the daily demand for the item at each WH, which was assumed to be \u201cpurely random\u201d, meaning it had a Poisson distribution. The second row shows the on-hand inventory at the end of each day, with Min and Max values indicated by blue lines. The third row describes operations at the DC. \u00a0Contrary to the assumption of much theory, the demand into the DC was not close to being Poisson, nor was the demand out of the DC to the Source. In this scenario, Min and Max values were sufficient to keep item availability was high at each WH and at the DC, with no stockouts observed at any of the five facilities.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-2-Simulated-year-of-operation-of-a-system-with-four-WHs-and-one-DC..jpg\" target=\"_blank\" rel=\"noopener\">Click here to enlarge the image<\/a><\/p>\n<p><b> <a href=\"https:\/\/smartcorp.com\/?attachment_id=6805\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6805 alignnone size-large\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-2-Simulated-year-of-operation-of-a-system-with-four-WHs-and-one-DC.-1024x528.jpg\" alt=\"Figure 2 - Simulated year of operation of a system with four WHs and one DC.\" width=\"1024\" height=\"528\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-2-Simulated-year-of-operation-of-a-system-with-four-WHs-and-one-DC.-980x505.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-2-Simulated-year-of-operation-of-a-system-with-four-WHs-and-one-DC.-480x248.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/a><\/b><\/p>\n<p>Figure 2 &#8211; Simulated year of operation of a system with four WHs and one DC.<\/p>\n<p>&nbsp;<\/p>\n<p>Now let\u2019s vary the scenario. When stockouts are extremely rare, as in Figure 2, there is often excess inventory in the system. Suppose somebody suggests that the inventory level at the DC looks a bit fat and thinks it would be good idea to save money there. Their suggestion for reducing the stock at the DC is to reduce the value of the Min at the DC from 100 to 50. What happens? You could guess, or you could simulate.<\/p>\n<p>Figure 3 shows the simulation \u2013 the result is not pretty. The system runs fine for much of the year, then the DC runs out of stock and cannot catch up despite sending successively larger replenishment orders to the Source. Three of the four WHs descend into death spirals by the end of the year (and WH1 follows thereafter). The simulation has highlighted a sensitivity that cannot be ignored and has flagged a bad decision.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-3-Simulated-effects-of-reducing-the-Min-at-the-DC..jpg\" target=\"_blank\" rel=\"noopener\">Click here to enlarge image<\/a><\/p>\n<p><a href=\"https:\/\/smartcorp.com\/?attachment_id=6806\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6806 alignnone size-large\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-3-Simulated-effects-of-reducing-the-Min-at-the-DC.-1024x528.jpg\" alt=\"Figure 3 - Simulated effects of reducing the Min at the DC.\" width=\"1024\" height=\"528\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-3-Simulated-effects-of-reducing-the-Min-at-the-DC.-980x506.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-3-Simulated-effects-of-reducing-the-Min-at-the-DC.-480x248.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/a><\/p>\n<p>Figure 3 &#8211; Simulated effects of reducing the Min at the DC.<\/p>\n<p>&nbsp;<\/p>\n<p>Now the inventory managers can go back to the drawing board and test out other possible ways to reduce the investment in inventory at the DC level. One move that always helps, if you and your supplier can jointly make it happen, is to create a more agile system by reducing replenishment lead time. Working with the Source to insure that the DC always gets its replenishments in either 7 or 14 days stabilizes the system, as shown in Figure 4.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-4-Simulated-effects-of-reducing-the-lead-time-for-replenishing-the-DC..jpg\" target=\"_blank\" rel=\"noopener\">Click here to enlarge image<\/a><\/p>\n<p><a href=\"https:\/\/smartcorp.com\/?attachment_id=6807\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6807 alignnone size-large\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-4-Simulated-effects-of-reducing-the-lead-time-for-replenishing-the-DC.-1024x519.jpg\" alt=\"Figure 4 - Simulated effects of reducing the lead time for replenishing the DC.\" width=\"1024\" height=\"519\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-4-Simulated-effects-of-reducing-the-lead-time-for-replenishing-the-DC.-980x497.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Figure-4-Simulated-effects-of-reducing-the-lead-time-for-replenishing-the-DC.-480x243.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/a><\/p>\n<p>Figure 4 &#8211; Simulated effects of reducing the lead time for replenishing the DC.<\/p>\n<p>&nbsp;<\/p>\n<p>Unfortunately, the intent of reducing the inventory at the DC has not been achieved. The original daily inventory count was about 80 units and remains about 80 units after reducing the DC\u2019s Min and drastically improving the Source-to-DC lead time. But with the simulation model, the planning team can try out other ideas until they arrive at a satisfactory redesign. Or, given that Figure 4 shows the DC inventory starting to flirt with zero, they might think it prudent to accept the need for an average of about 80 units at the DC and look for ways to trim inventory investment at the WHs instead.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong>The Takeaways<\/strong><\/p>\n<ol>\n<li>Multiechelon inventory optimization (MEIO) is complex. Many factors interact to produce system behaviors that can be surprising in even simple two-level systems.<\/li>\n<li>Monte Carlo simulation is a useful tool for planners who need to design new systems or tweak existing systems.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/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;4.16&#8243; global_colors_info=&#8221;{}&#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. 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_builder_version=&#8221;4.16&#8243; background_color=&#8221;#444444&#8243; custom_padding_tablet=&#8221;50px|0|50px|0&#8243; custom_padding_phone=&#8221;&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_fullwidth_code admin_label=&#8221;CSS&#8221; _builder_version=&#8221;4.16&#8243; global_colors_info=&#8221;{}&#8221;]<\/p>\n<style><!-- [et_pb_line_break_holder] -->#main-footer {<!-- [et_pb_line_break_holder] --> display: none !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_learn_more_text a{<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .subscribe_bg input[type=\"submit\"]:hover{<!-- [et_pb_line_break_holder] -->line-height:0em !important;<!-- [et_pb_line_break_holder] --> cursor: pointer;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.ff_submit:hover {<!-- [et_pb_line_break_holder] --> background: #ffffff !important;<!-- [et_pb_line_break_holder] --> 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-->}<!-- [et_pb_line_break_holder] -->.f_bottom_text{<!-- [et_pb_line_break_holder] --> position: absolute;<!-- [et_pb_line_break_holder] --> bottom: 20px;<!-- [et_pb_line_break_holder] --> color: #4e81ba;<!-- [et_pb_line_break_holder] --> font-size: 14px<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_about_us_bg{<!-- [et_pb_line_break_holder] -->padding-right: 80px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.f_contact_us_bg{<!-- [et_pb_line_break_holder] --> padding-right: 52px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bar h4{<!-- [et_pb_line_break_holder] --> margin-top: 60px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_gutters3 .et_pb_column_1_3 .et_pb_grid_item, .et_pb_gutters3 .et_pb_column_1_3 .et_pb_widget, .et_pb_gutters3 .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_grid_item, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_widget, .et_pb_gutters3.et_pb_row .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_grid_item, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_widget, .et_section_specialty .et_pb_row .et_pb_column_2_3 .et_pb_gutters3.et_pb_row_inner .et_pb_column_1_3 .et_pb_shop_grid .woocommerce ul.products li.product{<!-- [et_pb_line_break_holder] --> margin-bottom: 0px !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_css{<!-- [et_pb_line_break_holder] -->display:none;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_posts a.more-link{<!-- [et_pb_line_break_holder] -->float:right;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_bar h4{<!-- [et_pb_line_break_holder] -->color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-size: 23px;<!-- [et_pb_line_break_holder] --> margin-bottom: 30px;<!-- [et_pb_line_break_holder] -->font-family: 'Open Sans', sans-serif;<!-- [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] --><!-- [et_pb_line_break_holder] -->.post-content p{<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] --> float: right;<!-- [et_pb_line_break_holder] --> height: 174px;<!-- [et_pb_line_break_holder] --> display: -webkit-box !important;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 7;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_post .entry-featured-image-url{<!-- [et_pb_line_break_holder] --> float: left;<!-- [et_pb_line_break_holder] --> margin-right: 25px;<!-- [et_pb_line_break_holder] --> display: inline-block !important;<!-- [et_pb_line_break_holder] -->position: absolute !important;<!-- [et_pb_line_break_holder] --> bottom: 55px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --> .post-meta {<!-- [et_pb_line_break_holder] --> display: block !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.et_pb_widget ul li {<!-- [et_pb_line_break_holder] --> border-bottom: 1px solid #a3a3a3;<!-- [et_pb_line_break_holder] --> padding-bottom: 5px;<!-- [et_pb_line_break_holder] --> margin-bottom: 20px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-post-title{<!-- [et_pb_line_break_holder] -->height: 50px;<!-- [et_pb_line_break_holder] --> display: -webkit-box;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 2;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-post-excerpt{<!-- [et_pb_line_break_holder] --> height: 34px;<!-- [et_pb_line_break_holder] --> display: -webkit-box;<!-- [et_pb_line_break_holder] --> -webkit-line-clamp: 2;<!-- [et_pb_line_break_holder] --> -webkit-box-orient: vertical;<!-- [et_pb_line_break_holder] --> overflow: hidden;<!-- [et_pb_line_break_holder] --> text-overflow: ellipsis;<!-- [et_pb_line_break_holder] --> margin-bottom: 20px;<!-- [et_pb_line_break_holder] --> color: #707070;<!-- [et_pb_line_break_holder] --> font-size: 12px;<!-- [et_pb_line_break_holder] --> line-height: 16px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.rpwwt-widget ul li a{<!-- [et_pb_line_break_holder] --> color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-size: 14px;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 3px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->#categories-2 .cat-item 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 !important;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->.blog_glob article{<!-- [et_pb_line_break_holder] -->box-shadow: 0px 0px 5px silver;<!-- [et_pb_line_break_holder] --> margin-bottom: 44px;<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->position: relative;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob article h2 a{<!-- [et_pb_line_break_holder] -->font-size: 26px;<!-- [et_pb_line_break_holder] --> color: #0d4c92 !important;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> margin-bottom: 8px;<!-- [et_pb_line_break_holder] -->font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_top_title {<!-- [et_pb_line_break_holder] -->font-size: 38px;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> text-transform: uppercase;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] --> margin-bottom: 4px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_top_text{<!-- [et_pb_line_break_holder] --> font-size: 20px;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> text-transform: uppercase;<!-- [et_pb_line_break_holder] --> font-weight: 600;<!-- [et_pb_line_break_holder] --> font-family: 'Open Sans', sans-serif;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.blog_glob img{<!-- [et_pb_line_break_holder] --> width: 195px;<!-- [et_pb_line_break_holder] --> height: 183px;<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->.et_pb_posts a.more-link{<!-- [et_pb_line_break_holder] -->text-decoration: none;<!-- [et_pb_line_break_holder] --> background: #14954a;<!-- [et_pb_line_break_holder] --> color: #ffffff;<!-- [et_pb_line_break_holder] --> padding: 11px 15px;<!-- [et_pb_line_break_holder] --> font-size: 16px;<!-- [et_pb_line_break_holder] --> width: auto;<!-- [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><\/p><p>[\/et_pb_code][et_pb_code admin_label=\"A POST CSS\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<\/p><p><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;<!-- 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--> 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_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><\/p><p>[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<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\" global_colors_info=\"{}\"]<\/p><p><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;<!-- 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[et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] --><\/style><\/p><p>[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<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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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] --> $(\"#categories-bbb ul\").toggleClass(\"baccc\");<!-- [et_pb_line_break_holder] --> }) <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><\/script>[\/et_pb_code][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\"1\" _builder_version=\"4.10.5\" _module_preset=\"default\" custom_margin=\"0px||||false|false\" custom_padding=\"0px||||false|false\" global_colors_info=\"{}\"][et_pb_row admin_label=\"Row\" module_class=\"blog_glob\" _builder_version=\"3.25\" locked=\"off\" global_colors_info=\"{}\"][et_pb_column type=\"4_4\" saved_specialty_column_type=\"2_3\" _builder_version=\"3.0.47\" custom_padding=\"|||\" global_colors_info=\"{}\" custom_padding__hover=\"|||\"][et_pb_code module_class=\"append_categ\" global_colors_info=\"{}\"]<script><!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [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 content_last_edited=\"off|desktop\" admin_label=\"CONTENT\" module_class=\"post-main_text\" _builder_version=\"4.10.7\" header_3_text_color=\"#0c71c3\" header_3_font_size=\"19px\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" hover_enabled=\"0\" z_index_tablet=\"500\" text_text_shadow_horizontal_length_tablet=\"0px\" text_text_shadow_vertical_length_tablet=\"0px\" text_text_shadow_blur_strength_tablet=\"1px\" link_text_shadow_horizontal_length_tablet=\"0px\" link_text_shadow_vertical_length_tablet=\"0px\" link_text_shadow_blur_strength_tablet=\"1px\" ul_text_shadow_horizontal_length_tablet=\"0px\" ul_text_shadow_vertical_length_tablet=\"0px\" ul_text_shadow_blur_strength_tablet=\"1px\" ol_text_shadow_horizontal_length_tablet=\"0px\" ol_text_shadow_vertical_length_tablet=\"0px\" ol_text_shadow_blur_strength_tablet=\"1px\" quote_text_shadow_horizontal_length_tablet=\"0px\" quote_text_shadow_vertical_length_tablet=\"0px\" quote_text_shadow_blur_strength_tablet=\"1px\" header_text_shadow_horizontal_length_tablet=\"0px\" header_text_shadow_vertical_length_tablet=\"0px\" header_text_shadow_blur_strength_tablet=\"1px\" header_2_text_shadow_horizontal_length_tablet=\"0px\" header_2_text_shadow_vertical_length_tablet=\"0px\" header_2_text_shadow_blur_strength_tablet=\"1px\" header_3_text_shadow_horizontal_length_tablet=\"0px\" header_3_text_shadow_vertical_length_tablet=\"0px\" header_3_text_shadow_blur_strength_tablet=\"1px\" header_4_text_shadow_horizontal_length_tablet=\"0px\" header_4_text_shadow_vertical_length_tablet=\"0px\" header_4_text_shadow_blur_strength_tablet=\"1px\" header_5_text_shadow_horizontal_length_tablet=\"0px\" header_5_text_shadow_vertical_length_tablet=\"0px\" header_5_text_shadow_blur_strength_tablet=\"1px\" header_6_text_shadow_horizontal_length_tablet=\"0px\" header_6_text_shadow_vertical_length_tablet=\"0px\" header_6_text_shadow_blur_strength_tablet=\"1px\" box_shadow_horizontal_tablet=\"0px\" box_shadow_vertical_tablet=\"0px\" box_shadow_blur_tablet=\"40px\" box_shadow_spread_tablet=\"0px\" use_border_color=\"off\" global_colors_info=\"{}\" sticky_enabled=\"0\"]<\/p><p>For most small-to-medium manufacturers and distributors, single-level or single-echelon inventory optimization is at the cutting edge of logistics practice. Multi-echelon inventory optimization (\u201cMEIO\u201d) involves playing the game at an even higher level and is therefore much less common.\u00a0This blog is the first of two. It aims to explain what MEIO is, why standard MEIO theories break down, and how probabilistic modeling through scenario simulation can restore reality to the MEIO process. The second blog will show a particular example.<\/p><p>\u00a0<\/p><p><strong>Definition of Inventory Optimization<\/strong><\/p><p>An inventory system is built on a set of design choices.<\/p><p>The first choice is the policy for responding to stockouts: Do you just lose the sale to a competitor, or can you convince the customer to accept a backorder? The former is more common with distributors than manufacturers, but this may not be much of a choice since customers may dictate the answer.<\/p><p>The second choice is the inventory policy. These divide into \u201ccontinuous review\u201d and \u201cperiodic review\u201d policies, with several options within each type. You can link to a video tutorial describing several common inventory policies <a href=\"https:\/\/smartcorp.com\/blog\/inventory-reduction-strategies-and-profitable-business\/\">here<\/a>.\u00a0 Perhaps the most efficient is known to practitioners as \u201cMin\/Max\u201d and to academics as (<em>s, S<\/em>) or \u201clittle S, Big S.\u201d We use this policy in the scenario simulations below. It works as follows: When on-hand inventory drops to or below the Min (<em>s<\/em>), an order is placed for replenishment. The size of the order is the gap between the on-hand inventory and the Max (<em>S<\/em>), so if Min is 10, Max is 25 and on-hand is 8, it\u2019s time for an order of 25-8 = 17 units.<\/p><p>The third choice is to decide on the best values of the inventory policy \u201cparameters\u201d, e.g., the values to use for Min and Max. Before assigning numbers to Min and Max, you need clarity on what \u201cbest\u201d means for you. Commonly, best means choices that minimize inventory operating costs subject to a floor on item availability, expressed either as Service Level or Fill Rate. In mathematical terms, this is a \u201ctwo-dimensional constrained integer optimization problem\u201d. \u201cTwo-dimensional\u201d because you have to pick two numbers: Min and Max. \u201cInteger\u201d because Min and Max have to be whole numbers. \u201cConstrained\u201d because you must pick Min and Max values that give a high-enough level of item availability such as service levels and fill rates. \u201cOptimization\u201d because you\u00a0 want to get there with the lowest operating cost (operating cost combines holding, ordering and shortage costs).<\/p><p><strong>\u00a0<\/strong><\/p><p><strong>Multiechelon Inventory Systems<\/strong><\/p><p>The optimization problem becomes more difficult in multi-echelon systems. In a single-echelon system, each inventory item can be analyzed in isolation: one pair of Min\/Max values per SKU. Because there are more parts to a multiechelon system, there is a bigger computational problem.<\/p><p>Figure 1 shows a simple two-level system for managing a single SKU. At the lower level, demands arrive at multiple warehouses. When those are in danger of stocking out, they are resupplied from a distribution center (DC). When the DC itself is in danger of stocking out, it is supplied by some outside source, such as the manufacturer of the item.<\/p><p>The design problem here is multidimensional: We need Min and Max values for 4 warehouses and for the DC, so the optimization occurs in 4x2+1x2=10 dimensions. The analysis must take account of a multitude of contextual factors:<\/p><ul><li>The average level and volatility of demand coming into each warehouse.<\/li><li>The average and variability of replenishment lead times from the DC.<\/li><li>The average and variability of replenishment lead times from the source.<\/li><li>The required minimum service level at the warehouses.<\/li><li>The required minimum service level at the DC.<\/li><li>The holding, ordering and shortage costs at each warehouse.<\/li><li>The holding, ordering and shortage costs at the DC.<\/li><\/ul><p>As you might expect, seat-of-the-pants guesses won\u2019t do well in this situation. Neither will trying to simplify the problem by analyzing each echelon separately. For instance, stockouts at the DC increase the risk of stockouts at the warehouse level and vice versa.<\/p><p>This problem is obviously too complicated to try to solve without help from some sort of computer model.<\/p><p>\u00a0<\/p><p><strong>Why Standard Inventory Theory is Bad Math<\/strong><\/p><p>With a little looking, you can find models, journal articles and book about MEIO. These are valuable sources of information and insight, even numbers. But most of them rely on the expedient of over-simplifying the problem to make it possible to write and solve equations. This is the \u201cFantasy\u201d referred to in the title.<\/p><p>Doing so is a classic modeling maneuver and is not necessarily a bad idea. When I was a graduate student at MIT, I was taught the value of having two models: a small, rough model to serve as a kind of sighting scope and a larger, more accurate model to produce reliable numbers. The smaller model is equation-based and theory-based; the bigger model is procedure-based and data-based, i.e., a detailed system simulation. Models based on simple theories and equations can produce bad numerical estimates and even miss whole phenomena. In contrast, models based on procedures (e.g., \u201corder up to the Max when you breach the Min\u201d) and facts (e.g., the last 3 years of daily item demand) will require a lot more computing but give more realistic answers. Luckily, thanks to the cloud, we have a lot of computing power at our fingertips.<\/p><p>Perhaps the greatest modeling \u201csin\u201d in the MEIO literature is the assumption that demands at all echelons can be modeled as purely random Poisson processes. Even if it were true at the warehouse level, it would be far from true at the DC level. The Poisson process is the \u201cwhite rat of demand modeling\u201d because it is simple and permits more paper-and-pencil equation manipulation. Since not all demands are Poisson shaped, this results in unrealistic recommendations.<\/p><p>\u00a0<\/p><p><strong>Scenario-based Simulation Optimization<\/strong><\/p><p>To get realism, we must get down into the details of how the inventory systems operate at each echelon. With few limits except those imposed by hardware such as size of memory, computer programs can keep up any level of complexity. For instance, there is no need to assume that each of the warehouses faces identical demand streams or has the same costs as all the others.<\/p><p>A computer simulation works as follows.<\/p><ol><li>The real-world demand history and lead time history are gathered for each SKU at each location.<\/li><li>Values of inventory parameters (e.g., Min and Max) are selected for trial.<\/li><li>The demand and replenishment histories are used to create scenarios depicting inputs to the computer program that encodes the rules of operation of the system.<\/li><li>The inputs are used to drive the operation of a computer model of the system with the chosen parameter values over a long period, say one year.<\/li><li>Key performance indicators (KPI\u2019s) are calculated for the simulated year.<\/li><li>Steps 2-5 are repeated many times and the results averaged to link parameter choices to system performance.<\/li><li>\u00a0<\/li><\/ol><p>Inventory optimization adds another \u201couter loop\u201d to the calculations by systematically searching over the possible values of Min and Max. Among those parameter pairs that satisfy the item availability constraint, further search identifies the Min and Max values that result in the lowest operating cost.<\/p><p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/fact-and-fantasy-in-multiechelon-inventory-optimization\/attachment\/fact-and-fantasy-in-multiechelon-inventory-optimization\/\"><img class=\"wp-image-6510 alignnone size-large\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2021\/09\/Fact-and-Fantasy-in-Multiechelon-Inventory-Optimization-1024x636.jpg\" alt=\"Fact and Fantasy in Multiechelon Inventory Optimization\" width=\"1024\" height=\"636\" \/><\/a><\/p><p>Figure 1: General structure of one type of two-level inventory system<\/p><p>\u00a0<\/p><p><strong>Stay Tuned for our next Blog<\/strong><\/p><p>COMING SOON. To see an example of a simulation of the system in Figure 1, read the second blog on this topic<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p><a href=\"https:\/\/smartcorp.com\/inventory-optimization\/\"><img class=\"aligncenter size-full wp-image-1527\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/04\/optim_bottom.png\" alt=\"\" width=\"700\" height=\"250\" \/><\/a><\/p><p>[\/et_pb_text][et_pb_code module_class=\"comment_sect\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<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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