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Feasibility of Scheduling Lot Sizes of Three Products on One Machine

Author

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  • Celia A. Glass

    (Thames Polytechnic, London, England)

Abstract

This paper considers the Economic Lot Scheduling Problem: that is, the problem of finding a feasible schedule that allows cyclic production of several products on a single facility so as to minimize holding and set up costs. We consider the case when three products are required to be produced in a given fixed lot size and at regular intervals. We derive a very simple test for existence of a feasible schedule and a method of constructing feasible schedules if one exists. The approach is simpler than the mixed integer programming approach and enumeration schemes currently proposed in the literature and is constructive.

Suggested Citation

  • Celia A. Glass, 1992. "Feasibility of Scheduling Lot Sizes of Three Products on One Machine," Management Science, INFORMS, vol. 38(10), pages 1482-1494, October.
    • Handle: RePEc:inm:ormnsc:v:38:y:1992:i:10:p:1482-1494
    DOI: 10.1287/mnsc.38.10.1482
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    Cited by:

    1. Amotz Bar-Noy & Randeep Bhatia & Joseph (Seffi) Naor & Baruch Schieber, 2002. "Minimizing Service and Operation Costs of Periodic Scheduling," Mathematics of Operations Research, INFORMS, vol. 27(3), pages 518-544, August.
    2. Shoshana Anily & Julien Bramel, 2000. "Periodic Scheduling with Service Constraints," Operations Research, INFORMS, vol. 48(4), pages 635-645, August.
    3. Khouja, Moutaz, 1997. "The scheduling of economic lot sizes on volume flexible production systems," International Journal of Production Economics, Elsevier, vol. 48(1), pages 73-86, January.
    4. Khouja, Moutaz & Michalewicz, Zgibniew & Wilmot, Michael, 1998. "The use of genetic algorithms to solve the economic lot size scheduling problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 509-524, November.
    5. Khoury, B. N. & Abboud, N. E. & Tannous, M. M., 2001. "The common cycle approach to the ELSP problem with insufficient capacity," International Journal of Production Economics, Elsevier, vol. 73(2), pages 189-199, September.

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