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Technical Note—Mathematical Pitfalls in the One Machine Multiproduct Economic Lot Scheduling Problem

Author

Listed:
  • Paul J. Schweitzer

    (University of Rochester, Rochester, New York)

  • Edward A. Silver

    (University of Calgary, Calgary, Alberta, Canada)

Abstract

We consider a group of products sharing the same piece of production equipment, and show that two mathematical problem formulations in the literature are ill-posed. In both cases, the infimum of the cost function occurs at a boundary point that is not feasible.

Suggested Citation

  • Paul J. Schweitzer & Edward A. Silver, 1983. "Technical Note—Mathematical Pitfalls in the One Machine Multiproduct Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 31(2), pages 401-405, April.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:2:p:401-405
    DOI: 10.1287/opre.31.2.401
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    Cited by:

    1. Carstensen, Peter, 1997. "Das Economic Lot Scheduling Problem: Überblick und LP-basiertes Verfahren," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 465, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Robert R. Inman & Philip C. Jones & Guillermo M. Gallego, 1991. "Economic lot scheduling of fully loaded processes with external setups," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 699-713, October.

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    Keywords

    334 economic lot sizes;

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