Parallel Machine Scheduling with WMSD Risk Considerations

Parallel machine match-up scheduling with manufacturing cost considerations

Many scheduling problems in practice involve rescheduling of disrupted schedules. In this study, we show that in contrast to fixed processing times, if we have the flexibility to control the processing times of the jobs, we can generate alternative reactive schedules considering the manufacturing cost implications in response to disruptions. We consider a non-identical parallel machining enviro...

Machine Scheduling with Transportation Considerations

Parallel Machine Scheduling Problem

A new constructive heuristic for the scheduling problem of n independent jobs on m identical parallel machines with minimum makespan objective is described. The proposed algorithm, which is an n logn algorithm as the LPT algorithm of Graham, iteratively combines partial solutions that are obtained by partitioning the set of jobs in suitable families of subsets. The algorithm was tested using di...

Parallel Machine Batch Scheduling

The problem of scheduling G groups of jobs on m unrelated parallel machines is considered. Each group consists of several identical jobs. Implicit in a schedule is a partition of a group into batches; all jobs of a batch are processed jointly. It is possible for diierent batches of the same group to be processed concurrently on diierent machines. However, at any time, a batch can be processed o...

Parallel Machines Scheduling with Machine Shutdowns

we study the nonpreemptive parallel machines scheduling problem where some of the machines are planned to be shutdown. We apply LPT algorithm to the problem and analyze its performance. Our analysis shows that the makespan of the LPT schedule is bounded by twice the optimum makespan if no more than half of the machines are allowed to be shutdown simultaneously. We also show that this bound ls t...