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Sequencing many jobs on a multi‐purpose facility

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  • John A. Buzacott
  • Sujit K. Dutta

Abstract

Suppose a given set of jobs has to be processed on a multi‐purpose facility which has various settings or states. There is a choice of states in which to process a job and the cost of processing depends on the state. In addition, there is also a sequence‐dependent changeover cost between states. The problem is then to schedule the jobs, and pick an optimum setting for each job, so as to minimize the overall operating costs. A dynamic programming model is developed for obtaining an optimal solution to the problem. The model is then extended using the method of successive approximations with a view to handling large‐dimensioned problems. This extension yields good (but not necessarily optimal) solutions at a significant computational saving over the direct dynamic programming approach.

Suggested Citation

  • John A. Buzacott & Sujit K. Dutta, 1971. "Sequencing many jobs on a multi‐purpose facility," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 18(1), pages 75-82, March.
    • Handle: RePEc:wly:navlog:v:18:y:1971:i:1:p:75-82
    DOI: 10.1002/nav.3800180106
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