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On single‐machine sequencing with order constraints

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  • K. D. Glazebrook

Abstract

A collection of jobs is to be processed by a single machine. Each job has a cost function associated with it which may be either linear or exponential, costs accruing when a job is completed. The machine may be allocated to the jobs according to a precedence relation. The problem is to find a strategy for allocating the machine which minimizes the total cost and which is consistent with the precedence relation. The paper extends and simplifies some previous work done by Sidney.

Suggested Citation

  • K. D. Glazebrook, 1980. "On single‐machine sequencing with order constraints," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(1), pages 123-130, March.
  • Handle: RePEc:wly:navlog:v:27:y:1980:i:1:p:123-130
    DOI: 10.1002/nav.3800270111
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    Cited by:

    1. K. D. Glazebrook, 1992. "Single‐machine scheduling of stochastic jobs subject to deterioration or delay," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 613-633, August.

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