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Rescheduling to minimize makespan on a changing number of identical processors

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  • Craig A. Tovey

Abstract

We consider the problem of rescheduling n jobs to minimize the makespan on m parallel identical processors when m changes value. We show this problem to be NP‐hard in general. Call a list schedule totally optimal if it is optimal for all m = 1, …,n. When n is less than 6, there always exists a totally optimal schedule, but for n ≥ 6 this can fail. We show that an exact solution is less robust than the largest processing time first (LPT) heuristic and discuss implications for polynomial approximation schemes and hierarchical planning models.

Suggested Citation

  • Craig A. Tovey, 1986. "Rescheduling to minimize makespan on a changing number of identical processors," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 717-724, November.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:4:p:717-724
    DOI: 10.1002/nav.3800330414
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