Minimizing the Time-in-System Variance for a Finite Jobset

Published Online:https://doi.org/10.1287/mnsc.21.5.540

There are a finite number of jobs to be scheduled on a single machine. All jobs are available from the start and the objective is to sequence the jobs so that the time-in-system (or equivalently, the completion time) variance is minimized. A number of necessary conditions for an optimal sequencing (which for small jobsets turn out to be sufficient) are presented.

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