A Lagrangean relaxation approach for very-large-scale capacitated lot-sizing

A Lagrangean relaxation approach for very-large-scale capacitated lot-sizing

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Article ID: iaor1993937
Country: United States
Volume: 38
Issue: 9
Start Page Number: 1329
End Page Number: 1340
Publication Date: Sep 1992
Journal: Management Science
Authors: , , ,
Keywords: lagrange multipliers, programming: integer
Abstract:

In this paper, the authors develop a Lagrangean relaxation-based heuristic procedure to generate near-optimal solutions to very-large-scale capacitated lot-sizing problems (CLSP) with setup times and limited overtime. The present computational results show that large problems involving several thousand products and several thousand 0/1 integer variables can be solved in a reasonable amount of computer time to within one percent of their optimal solution. The proposed procedure is general enough to be applied directly or with slight modification to real-life production problems.

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