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Improved lower bounds for the proportional lot sizing and scheduling problem

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  • Kimms, Alf

Abstract

Where standard MLP-solvers fail to compute optimum objective function values for certain MLP-model formulations, lower bounds may be used as a point of reference for evaluating heuristics. In this paper, we compute lower bounds for the multi-level proportional lot sizing and scheduling problem with multiple machines (PLSP-MM). Four approaches are compared: Solving LP-relaxations of two different model formulations, solving a relaxed MLP-model formulation optimally, and solving a Lagrangean relaxation. Keywords:

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  • Kimms, Alf, 1996. "Improved lower bounds for the proportional lot sizing and scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 414, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:414
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    1. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.

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