{"id":10731,"date":"2023-04-24T10:09:04","date_gmt":"2023-04-24T14:09:04","guid":{"rendered":"https:\/\/smartcorp.com\/forecasting\/how-to-manipulate-forecast-results-with-different-forecast-methods-copy\/"},"modified":"2023-04-24T10:53:10","modified_gmt":"2023-04-24T14:53:10","slug":"tres-formas-de-estimar-la-precision-del-pronostico","status":"publish","type":"post","link":"https:\/\/smartcorp.com\/es\/forecasting\/three-ways-to-estimate-forecast-accuracy\/","title":{"rendered":"Tres formas de estimar la precisi\u00f3n del pron\u00f3stico"},"content":{"rendered":"<p>[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_text content_last_edited=&#8221;off|desktop&#8221; admin_label=&#8221;CONTENT&#8221; module_class=&#8221;post-main_text&#8221; _builder_version=&#8221;4.20.4&#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>Forecast accuracy is a key metric by which to judge the quality of your demand planning process. (It\u2019s not the only one. Others include timeliness and cost; See <a href=\"https:\/\/smartcorp.com\/demand-planning\/forecastuncertaintydemandplanning\/\">5 Demand Planning Tips for Calculating Forecast Uncertainty<\/a>.) Once you have forecasts, there are a number of ways to summarize their accuracy, usually designated by obscure three- or four-letter acronyms like MAPE, RMSE, and MAE. \u00a0See <a href=\"https:\/\/smartcorp.com\/blog\/four-useful-ways-to-measure-forecast-error\/\">Four Useful Ways to Measure Forecast Error<\/a> for more detail.<\/p>\n<p>A less discussed but more fundamental issue is how computational experiments are organized for computing forecast error. This post compares the three most important experimental designs. One of them is old-school and essentially amounts to cheating. Another is the gold standard. A third is a useful expedient that mimics the gold standard and is best thought of as predicting how the gold standard will turn out. Figure 1 is a schematic view of the three methods.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/forecasting\/three-ways-to-estimate-forecast-accuracy\/attachment\/three-ways-to-estimate-forecast-accuracy-software-smart\/\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10736 alignnone size-full\" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/04\/Three-Ways-to-Estimate-Forecast-Accuracy-Software-Smart.jpg\" alt=\"Three Ways to Estimate Forecast Accuracy Software Smart\" width=\"1339\" height=\"748\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/04\/Three-Ways-to-Estimate-Forecast-Accuracy-Software-Smart.jpg 1339w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/04\/Three-Ways-to-Estimate-Forecast-Accuracy-Software-Smart-1280x715.jpg 1280w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/04\/Three-Ways-to-Estimate-Forecast-Accuracy-Software-Smart-980x547.jpg 980w, https:\/\/smartcorp.com\/wp-content\/uploads\/2023\/04\/Three-Ways-to-Estimate-Forecast-Accuracy-Software-Smart-480x268.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) and (max-width: 1280px) 1280px, (min-width: 1281px) 1339px, 100vw\" \/><\/a><\/p>\n<p>Figure 1: Three ways to assess forecast error<\/p>\n<p>&nbsp;<\/p>\n<p>The top panel of Figure 1 depicts the way forecast error was assessed back in the early 1980\u2019s before we moved the state of the art to the scheme shown in the middle panel. In the old days, forecasts were assessed on the same data used to compute the forecasts. After a model was fit to the data, the errors computed were not for model forecasts but for model <u>fits<\/u>. The difference is that forecasts are for future values, while fits are for concurrent values. For example, suppose the forecasting model is a simple moving average of the three most recent observations. At time 3, the model computes the average of observations 1, 2, and 3. This average would then be compared to the observed value at time 3. We call this cheating because the observed value at time 3 got a vote on what the forecast should be at time 3. A true forecast assessment would compare the average of the first three observations to the value of the <u>next<\/u>, fourth, observation. Otherwise, the forecaster is left with an overly optimistic assessment of forecast accuracy.<\/p>\n<p>The bottom panel of Figure 1 shows the best way to assess forecast accuracy. In this schema, all the historical demand data are used to fit a model, which is then used to forecast future, unknown demand values. Eventually, the future unfolds, the true future values reveal themselves, and actual forecast errors can be computed. This is the gold standard. This information populates the \u201cforecasts versus actuals\u201d report in our software.<\/p>\n<p>The middle panel depicts a useful halfway measure. The problem with the gold standard is that you must wait to learn how well your chosen forecasting methods perform. This delay does not help when you are required to choose, in the moment, which forecasting method to use for each item. Nor does it provide a timely estimate of the forecast uncertainty you will experience, which is important for risk management such as forecast hedging. The middle way is based on hold-out analysis, which excludes (\u201cholds out\u201d) the most recent observations and asks the forecasting method to do its work without knowing those ground truths. Then the forecasts based on the foreshortened demand history can be compared to the held-out actual values to get an honest assessment of forecast error.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/smartcorp.com\/demandplanner\/\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1523 \" src=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/08\/demand_bottom.png\" alt=\"\" width=\"837\" height=\"299\" srcset=\"https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/08\/demand_bottom.png 837w, https:\/\/smartcorp.com\/wp-content\/uploads\/2016\/08\/demand_bottom-480x171.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 837px, 100vw\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La precisi\u00f3n del pron\u00f3stico es una m\u00e9trica clave para juzgar la calidad de su proceso de planificaci\u00f3n de la demanda. Una vez que tenga pron\u00f3sticos, hay varias formas de resumir su precisi\u00f3n, generalmente designadas por acr\u00f3nimos oscuros de tres o cuatro letras como MAPE, RMSE y MAE. <\/p>","protected":false},"author":122,"featured_media":10733,"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 fb_built=\"1\" admin_label=\"section\" module_class=\"blog_css\" _builder_version=\"3.22\" transparent_background=\"off\" make_fullwidth=\"off\" use_custom_width=\"off\" width_unit=\"on\" global_colors_info=\"{}\"][et_pb_row admin_label=\"row\" _builder_version=\"3.25\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" global_colors_info=\"{}\"][et_pb_column type=\"4_4\" _builder_version=\"3.0.47\" custom_padding=\"|||\" global_colors_info=\"{}\" custom_padding__hover=\"|||\"][et_pb_code admin_label=\"CSS\" _builder_version=\"4.10.7\" 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#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] --><!-- [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_code][et_pb_code admin_label=\"A POST CSS\" _builder_version=\"4.10.7\" global_colors_info=\"{}\"]<!-- [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_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] --><!-- [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_code][et_pb_code global_colors_info=\"{}\"]<!-- [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] -->[\/et_pb_code][et_pb_code admin_label=\"Comment CSS\" global_colors_info=\"{}\"]<!-- [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] -->}<!-- 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[et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->}<!-- [et_pb_line_break_holder] -->[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<!-- [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] -->[\/et_pb_code][et_pb_code global_colors_info=\"{}\"]<!-- [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] --> $(\"#categories-bbb ul\").toggleClass(\"baccc\");<!-- [et_pb_line_break_holder] --> }) <!-- [et_pb_line_break_holder] -->}); <!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->});<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] -->[\/et_pb_code][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\"1\" _builder_version=\"4.10.5\" _module_preset=\"default\" custom_margin=\"0px||||false|false\" custom_padding=\"0px||||false|false\" global_colors_info=\"{}\"][et_pb_row admin_label=\"Row\" module_class=\"blog_glob\" _builder_version=\"3.25\" locked=\"off\" global_colors_info=\"{}\"][et_pb_column type=\"4_4\" saved_specialty_column_type=\"2_3\" _builder_version=\"3.0.47\" custom_padding=\"|||\" global_colors_info=\"{}\" custom_padding__hover=\"|||\"][et_pb_code module_class=\"append_categ\" global_colors_info=\"{}\"]<!-- [et_pb_line_break_holder] -->jQuery(document).ready(function($) {<!-- [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] -->[\/et_pb_code][et_pb_text content_last_edited=\"off|desktop\" admin_label=\"CONTENT\" module_class=\"post-main_text\" _builder_version=\"4.14.4\" header_3_text_color=\"#0c71c3\" header_3_font_size=\"19px\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" 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=\"{}\"]<\/p><p>Recently, I had an interesting conversation with an inventory manager and the VP Finance. We were discussing the benefits of being able to automatically optimize both reorder points and order quantities. The VP Finance was concerned that given their large supplier required minimum order quantities, they would not be able to benefit.\u00a0 He said his suppliers held all the power, forcing him to accept massive minimum order quantities and tying his hands. While he felt bad about this, he saw a silver lining: He didn\u2019t have to do any planning. He would accept a large inventory investment, but his customer service levels would the exceptional.\u00a0 Perhaps the large inventory investment was assumed to be the cost of doing business.<\/p><p>I pushed back and pointed out that he was not as powerless as he felt. He still had control of the other half of the procurement process: while he couldn\u2019t control how much to order, he could control when to order by adjusting the reorder point. In other words, there is always room for careful quantitative analysis in inventory management, even when you have one hand tied behind your back.<\/p><p><strong>An Example<\/strong><\/p><p>To put some numbers behind my argument, I created a scenario then analyzed it using our methodology to show how consequential it can be to use inventory optimization software even in constrained situations. In this scenario, item demand averages 2.2 units per day but varies significantly by day of week. Let\u2019s say the imaginary supplier insists on a minimum order quantity of 500 units (way out of proportion to demand) and fills replenishment orders in either three days or ten days in equal proportions (quite inconsistent). To spread the blame around, let\u2019s also suppose that the imaginary supplier\u2019s imaginary customer uses a foolish rule that the reorder point should be 10% of the minimum order quantity. (Why this rule? Too many companies use simple\/simplistic rules of thumb in lieu of proper analysis.)<\/p><p>So, we have a base case in which the order quantity is 500 units, and the reorder point is 50 units. In this case, the fill rate is 100%, but the average number of units on hand is a whopping 330. If the customer would simply lower the reorder point from 50 to 15, the fill rate would still be 99.5%, but the average stock on hand would drop by 11% to 295 units. Using the one hand not tied behind his back, the inventory manager could cut his inventory investment by more than 10%, which would be a noticeable win.<\/p><p>Incidentally, if the minimum order quantity were abolished, the customer would be free to arrive at a new and much better solution. Setting the order quantity to 45 and the reorder point to 25 would achieve a 99% fill rate at the cost of a daily on-hand level of only 35 units: nearly a 90% reduction in inventory investment: a major improvement over the status quo.<\/p><p><strong>Postscript<\/strong><\/p><p>These calculations are possible using our software, which can make visible the otherwise unknown relationships between inventory system design choices (e.g., order quantity and reorder point) and key performance indicators (e.g., average units on hand and fill rate).\u00a0 Armed with this ability to conduct these calculations, alternative arrangements with the supplier may now be considered. For example, what if, in exchange for paying a higher price per unit, the supplier agreed to a lower MOQ. Using the software to conduct an analysis of the key performance indicators using the \u201cwhat if\u201d costs and MOQs would reveal the cost per unit and MOQ that would be needed to develop a more profitable deal.\u00a0\u00a0 Once identified, all parties stand to benefit.\u00a0 The supplier now generates a better margin on sales of its products, and the buyer holds considerably less inventory yielding a holding cost reduction that dwarfs the added cost per unit.\u00a0 Everyone wins.<\/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=\"{}\"]<!-- [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() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".comment_sect\").append($(\"#comment-wrap\"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000) {<!-- [et_pb_line_break_holder] --> $(\"#et-main-area\").prepend($(\".blog_bg \"))<!-- [et_pb_line_break_holder] --> }<!-- [et_pb_line_break_holder] --><!-- [et_pb_line_break_holder] --> if ($(window).width() < 2000 ) {<!-- [et_pb_line_break_holder] --> $(\".post-main_text\").prepend($(\".et_post_meta_wrapper\"))<!-- [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_code][et_pb_code admin_label=\"Comment \" module_class=\"com-title\" global_colors_info=\"{}\"]<\/p><div class=\"com_title\">Leave a Comment<\/div><p>[\/et_pb_code][et_pb_code module_class=\"append_subs\" global_colors_info=\"{}\"]<!-- [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] --> $(\".append_subs\").append($(\".ghj\"))<!-- [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_code][et_pb_code module_class=\"append_share\" global_colors_info=\"{}\"]<!-- [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() < 768 ) {<!-- [et_pb_line_break_holder] --> $(\".append_share\").append($(\".post_soc\"))<!-- [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_code][et_pb_text disabled_on=\"on||\" module_class=\"relposts_title\" _builder_version=\"3.27.4\" background_size=\"initial\" background_position=\"top_left\" background_repeat=\"repeat\" text_orientation=\"center\" module_alignment=\"center\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\" global_colors_info=\"{}\"]Related Posts<br \/>[\/et_pb_text][et_pb_blog_2 posts_number=\"3\" include_categories=\"47,174,1\" include_related_categories=\"on\" 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