{"id":207558,"date":"2025-04-24T21:04:39","date_gmt":"2025-04-24T21:04:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=207558"},"modified":"2025-04-24T21:04:41","modified_gmt":"2025-04-24T21:04:41","slug":"the-processing-sequence-for-the-six-jobs-shown-below-using-johnsons-rule-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/24\/the-processing-sequence-for-the-six-jobs-shown-below-using-johnsons-rule-is\/","title":{"rendered":"The processing sequence for the six jobs shown below using Johnson&#8217;s Rule is"},"content":{"rendered":"\n<p>The processing sequence for the six jobs shown below using Johnson&#8217;s Rule is:<\/p>\n\n\n\n<p>Job<\/p>\n\n\n\n<p>Station 1<\/p>\n\n\n\n<p>Station 2<\/p>\n\n\n\n<p>A 46<br>B 98<br>C 105<br>D 69<br>E 97<br>F 1210<br>Multiple Choice<\/p>\n\n\n\n<p>a-d-f-b-e-c<br>a-f-d-b-e-c<br>a-d-f-e-b-c<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To apply <strong>Johnson\u2019s Rule<\/strong> for sequencing jobs through <strong>two workstations<\/strong> (Station 1 and Station 2), we need the processing times for each job at both stations. However, you&#8217;ve only provided processing times for one station (presumably Station 1), and there&#8217;s <strong>no information for Station 2<\/strong>.<\/p>\n\n\n\n<p>To solve the sequencing problem using <strong>Johnson&#8217;s Rule<\/strong>, we <strong>must have processing times for both stations<\/strong> for each job. Here&#8217;s how the rule works (with an explanation that assumes both station times are given):<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Johnson\u2019s Rule: Step-by-Step Process<\/strong><\/h3>\n\n\n\n<p>Johnson\u2019s Rule is used to minimize total completion time (makespan) for a set of jobs processed on two machines (e.g., Station 1 and Station 2) in the same order.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Steps:<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>List all jobs<\/strong> and their processing times on both machines.<\/li>\n\n\n\n<li><strong>Find the job with the shortest processing time<\/strong> among all jobs across both machines.<\/li>\n\n\n\n<li>If that <strong>shortest time is on Station 1<\/strong>, schedule that job <strong>as early as possible<\/strong>.<\/li>\n\n\n\n<li>If that <strong>shortest time is on Station 2<\/strong>, schedule it <strong>as late as possible<\/strong>.<\/li>\n\n\n\n<li>Remove the scheduled job and <strong>repeat<\/strong> steps 2\u20134 for the remaining jobs.<\/li>\n<\/ol>\n\n\n\n<p>This sequence minimizes idle time and leads to the shortest possible total processing time.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Your Data Seems Incomplete:<\/h3>\n\n\n\n<p>You&#8217;ve listed jobs A to F with one column of numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A: 46<\/li>\n\n\n\n<li>B: 98<\/li>\n\n\n\n<li>C: 105<\/li>\n\n\n\n<li>D: 69<\/li>\n\n\n\n<li>E: 97<\/li>\n\n\n\n<li>F: 1210<\/li>\n<\/ul>\n\n\n\n<p>But these numbers only represent <strong>one station<\/strong>. Without the <strong>Station 2 times<\/strong>, we can\u2019t accurately apply Johnson\u2019s Rule.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcdd What You Need to Do:<\/h3>\n\n\n\n<p>Please provide the <strong>processing times for Station 2<\/strong> for each job, like this:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Job<\/th><th>Station 1<\/th><th>Station 2<\/th><\/tr><\/thead><tbody><tr><td>A<\/td><td>46<\/td><td>??<\/td><\/tr><tr><td>B<\/td><td>98<\/td><td>??<\/td><\/tr><tr><td>C<\/td><td>105<\/td><td>??<\/td><\/tr><tr><td>D<\/td><td>69<\/td><td>??<\/td><\/tr><tr><td>E<\/td><td>97<\/td><td>??<\/td><\/tr><tr><td>F<\/td><td>1210<\/td><td>??<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Once both sets of times are given, I can find the correct Johnson\u2019s Rule sequence (and confirm whether <strong>a-d-f-b-e-c<\/strong>, etc., is the right answer).<\/p>\n\n\n\n<p>Would you be able to provide the missing Station 2 data?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The processing sequence for the six jobs shown below using Johnson&#8217;s Rule is: Job Station 1 Station 2 A 46B 98C 105D 69E 97F 1210Multiple Choice a-d-f-b-e-ca-f-d-b-e-ca-d-f-e-b-c The correct answer and explanation is : To apply Johnson\u2019s Rule for sequencing jobs through two workstations (Station 1 and Station 2), we need the processing times for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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