A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing
Moustapha Diaby, Harish C. Bahl, Mark H. Karwan, Stanley Zionts
Management Science · 1992 · Volume 38 · Issue 9
Abstract
In this paper, we 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. Our 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.
Keywords
inventory/production, deterministic models, inventory/production, material requirements planning, programming, large scale systems
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