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A nonidentical parallel processor scheduling problem

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  • Nicholas G. Hall
  • K. Anthony Rhee
  • Wansoo T. Rhee

Abstract

The problem considered in this article is a generalization of the familiar makespan problem, in which n jobs are allocated among m parallel processors, so as to minimize the maximum time (or cost) on any processor. Our problem is more general, in that we allow the processors to have (a) different initial costs, (b) different utilization levels before new costs are incurred, and (c) different rates of cost increase. A heuristic adapted from the bin‐packing problem is shown to provide solutions which are close to optimal as the number of iterations is allowed to increase. Computational testing, over a large number of randomly generated problem instances, suggests that heuristic errors are, on average, very small.

Suggested Citation

  • Nicholas G. Hall & K. Anthony Rhee & Wansoo T. Rhee, 1988. "A nonidentical parallel processor scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 419-424, June.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:3:p:419-424
    DOI: 10.1002/1520-6750(198806)35:33.0.CO;2-5
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