Manual Pdf — Scheduling Theory Algorithms And Systems Solutions

4.3. : * Multiple objective functions (e.g., makespan, lateness, and flowtime). * Goal: Schedule the jobs on the machines to optimize multiple objectives.

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3.3. : * A set of jobs, each with a processing time on each machine and a routing that specifies the order in which the machines must be visited. * Goal: Schedule the jobs on the machines to minimize the makespan.

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1.1. : A manufacturing system has 5 machines and 10 jobs to be processed. Each job has a processing time and a due date. The goal is to schedule the jobs on the machines to minimize the maximum lateness.

| Job | Start Time | Completion Time | Lateness | | --- | --- | --- | --- | | 3 | 0 | 1 | 0 | | 1 | 1 | 4 | 0 | | 4 | 4 | 8 | 0 | | 2 | 8 | 11 | 1 | | 5 | 11 | 14 | 6 | : * A set of jobs, each with

| Job | Machine 1 | Machine 2 | Machine 3 | | --- | --- | --- | --- | | 1 | 3 | 2 | 1 | | 2 | 2 | 3 | 4 | | 3 | 1 | 4 | 2 | | 4 | 4 | 1 | 3 | | 5 | 3 | 2 | 1 |

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2.2. : * Sort the jobs in increasing order of processing time. * Schedule each job on the first available machine.

3.1. : * A set of jobs, each with a processing time on each machine. * Goal: Schedule the jobs on the machines to minimize the makespan.