What is Job Scheduling with Deadline?<\/strong><\/h3>\nIn Job Scheduling<\/strong>, we are given:<\/p>\n\n- A list of jobs<\/strong>.<\/li>\n
- Each job has:\n
\n- ID<\/strong><\/li>\n
- Deadline<\/strong> (by which it must be completed)<\/li>\n
- Profit<\/strong> (earned if the job is completed before or on its deadline)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\ud83d\udd52 Only one job can be scheduled at a time<\/strong>, and each job takes 1 unit of time<\/strong>.<\/p>\n
\n\ud83c\udfaf Goal:<\/strong><\/h3>\nSchedule jobs to maximize total profit<\/strong>, ensuring:<\/p>\n\n- No two jobs overlap<\/li>\n
- Each job finishes by its deadline<\/li>\n<\/ul>\n
\n\ud83d\udccc Example Problem:<\/h2>\n
\n\n\n| Job<\/th>\n | Deadline<\/th>\n | Profit<\/th>\n<\/tr>\n<\/thead>\n |
\n\n| A<\/td>\n | 2<\/td>\n | 100<\/td>\n<\/tr>\n |
\n| B<\/td>\n | 1<\/td>\n | 19<\/td>\n<\/tr>\n |
\n| C<\/td>\n | 2<\/td>\n | 27<\/td>\n<\/tr>\n |
\n| D<\/td>\n | 1<\/td>\n | 25<\/td>\n<\/tr>\n |
\n| E<\/td>\n | 3<\/td>\n | 15<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\ud83e\udde0 Trick to Solve (Greedy Algorithm):<\/strong><\/h2>\n\u2705 Steps:<\/h3>\n\n- Sort jobs by descending profit<\/strong><\/li>\n
- For each job:\n
\n- Try to schedule it in the latest available time slot<\/strong> before its deadline<\/li>\n
- If a slot is free, assign the job there<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n
\n\ud83e\uddee Step-by-Step Solution Using Trick:<\/strong><\/h2>\nStep 1: Sort by Profit<\/h3>\n\n\n\n| Job<\/th>\n | Deadline<\/th>\n | Profit<\/th>\n<\/tr>\n<\/thead>\n | \n\n| A<\/td>\n | 2<\/td>\n | 100<\/td>\n<\/tr>\n | \n| C<\/td>\n | 2<\/td>\n | 27<\/td>\n<\/tr>\n | \n| D<\/td>\n | 1<\/td>\n | 25<\/td>\n<\/tr>\n | \n| B<\/td>\n | 1<\/td>\n | 19<\/td>\n<\/tr>\n | \n| E<\/td>\n | 3<\/td>\n | 15<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nStep 2: Max Deadline = 3 \u2192 Create slots: [ _ , _ , _ ]<\/h3>\nStep 3: Assign Jobs<\/h3>\n\n- A (100)<\/strong> \u2192 deadline 2 \u2192 slot 2 free \u2192 assign to slot 2 \u2192 [ _ , A , _ ]<\/li>\n
- C (27)<\/strong> \u2192 deadline 2 \u2192 slot 2 full \u2192 check slot 1 \u2192 free \u2192 assign \u2192 [ C , A , _ ]<\/li>\n
- D (25)<\/strong> \u2192 deadline 1 \u2192 slot 1 full \u2192 skip<\/li>\n
- B (19)<\/strong> \u2192 deadline 1 \u2192 slot 1 full \u2192 skip<\/li>\n
- E (15)<\/strong> \u2192 deadline 3 \u2192 slot 3 free \u2192 assign \u2192 [ C , A , E ]<\/li>\n<\/ul>\n
\n\u2705 Final Scheduled Jobs: C, A, E<\/strong><\/h3>\nTotal Profit = 27 + 100 + 15 = \u20b9142<\/strong><\/p>\n
\n\ud83d\udccc Summary of the Trick:<\/h2>\n\n- Sort<\/strong> jobs by profit (desc)<\/li>\n
- For each job, try latest free slot<\/strong> \u2264 its deadline<\/li>\n
- Use greedy<\/strong> approach \u2192 pick highest profit, fit it as late as possible<\/li>\n<\/ol>\n
\nWould you like this turned into a chart, Python code, or visual timeline<\/strong>?<\/p>\n","protected":false},"excerpt":{"rendered":"Job Scheduling with Deadline [ solve any problem by trick ] and also the introduction of job schedule [fvplayer id=”366″] \u00a0Job Scheduling with Deadline \u2013 Introduction & Trick to Solve Problems \u00a0What is Job Scheduling? Job scheduling is a decision-making process in which multiple jobs (tasks) are assigned to a system based on certain constraints […]<\/p>\n","protected":false},"author":66,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[78],"tags":[],"class_list":["post-3352","post","type-post","status-publish","format-standard","hentry","category-operating-system"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3352","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3352"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3352\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3352"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3352"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3352"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}} | |