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Scheduling Cyclic Production on Several Identical Machines

Author

Listed:
  • W. L. Maxwell

    (Cornell University, Ithaca, New York)

  • H. Singh

    (E. I. du Pont de Nemours and Company, Inc., Wilmington, Delaware)

Abstract

This paper considers problems that arise in scheduling cyclic production of different parts on several identical machines where the cycle times are of the form k i w , with i varying only with each part. First we derive a simple necessary and sufficient condition for scheduling one machine when the production times of all jobs are identical. Then we describe three conditions, any one of which ensures that if a feasible schedule on M machines exists, then a schedule also exists in which each part always executes on the same machine. These conditions can be used to motivate heuristics to address the scheduling problem.

Suggested Citation

  • W. L. Maxwell & H. Singh, 1986. "Scheduling Cyclic Production on Several Identical Machines," Operations Research, INFORMS, vol. 34(3), pages 460-463, June.
  • Handle: RePEc:inm:oropre:v:34:y:1986:i:3:p:460-463
    DOI: 10.1287/opre.34.3.460
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    Cited by:

    1. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    2. Bollapragada, Ramesh & Croce, Federico Della & Ghirardi, Marco, 2011. "Discrete-time, economic lot scheduling problem on multiple, non-identical production lines," European Journal of Operational Research, Elsevier, vol. 215(1), pages 89-96, November.

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