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2 A set J of Jobs are to be scheduled on M identical machines. Each Job J J has a processing requirement pj (denoting the
2 A set J of Jobs are to be scheduled on M identical machines. Each Job J J has a processing requirement pj (denoting the mber of machine days required to complete the job), a release date rj (representing the beginning of the day when job j becomes available for processing), and a due date di +Pi (representing the beginning of the day by which the job must be comple can be processed by at most one machine at a time. However, we allow preemptions (i.e., we can interrupt a job and process it on different machines on different days). The scheduling problem is to determine a feasible schedule that completes all jobs before their due dates or to show that no such schedule exists. Formulate this problem as a maximum flow problem. ted). We assume that a machine can work on only one job at a time and that each job 2 A set J of Jobs are to be scheduled on M identical machines. Each Job J J has a processing requirement pj (denoting the mber of machine days required to complete the job), a release date rj (representing the beginning of the day when job j becomes available for processing), and a due date di +Pi (representing the beginning of the day by which the job must be comple can be processed by at most one machine at a time. However, we allow preemptions (i.e., we can interrupt a job and process it on different machines on different days). The scheduling problem is to determine a feasible schedule that completes all jobs before their due dates or to show that no such schedule exists. Formulate this problem as a maximum flow problem. ted). We assume that a machine can work on only one job at a time and that each job
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