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A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing

by Zionts, Stanley , Bahl, Harish C , Karwan, Mark H , Diaby, Moustapha

in Algorithms / Applied sciences / Capacity costs / Capital costs / Carrying costs / deterministic models / Exact sciences and technology / Heuristic / Heuristics / Integer programming / Inventories / inventory / Inventory control, production control. Distribution / inventory/production / large scale systems / Linear programming / Material requirements planning / Mathematical models / Measures / Operational research and scientific management / Operational research. Management science / Overtime / Overtime costs / Production / Production costs / Production planning / Produktionssteuerung / programming / Relaxation / Scheduling / Theorie / Time periods / Transportation

1992

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A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing

by Zionts, Stanley , Bahl, Harish C , Karwan, Mark H , Diaby, Moustapha

1992

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A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing

by Zionts, Stanley , Bahl, Harish C , Karwan, Mark H , Diaby, Moustapha

1992

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Journal Article

A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing

Zionts, Stanley,

Bahl, Harish C,

Karwan, Mark H,

Diaby, Moustapha

1992

Overview

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.

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Publisher

INFORMS,Institute of Management Sciences,Institute for Operations Research and the Management Sciences

Subject

/ deterministic models

/ Exact sciences and technology