A Geometric Algorithm to solve the NI/G/NI/ND Capacitated Lot-Sizing Problem in O(T^2) Time

Wilco van den Heuvel and Albert Wagelmans

ERIM Report Series Research in Management from Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam

Abstract: In this paper we consider the capacitated lot-sizing problem (CLSP) with linear costs. It is known that this problem is NP-hard, but there exist special cases that can be solved in polynomial time. We derive a backward algorithm, based on the forward algorithm by Chen et al. (1994), to solve the general CLSP. By adapting this backward algorithm, we arrive at a new O(T^2) algorithm for the CLSP with non-increasing setup cost, general holding cost, non-increasing production cost and non-decreasing capacities over time. Numerical tests show the superior performance of our algorithm compared to the algorithm proposed by Chung and Lin (1988). We also analyze why this is the case.

Keywords: capacitated lot-sizing problem; inventory; production (search for similar items in EconPapers)
JEL-codes: L11 M M11 R4 (search for similar items in EconPapers)
Date: 2003-09-25
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Citations: View citations in EconPapers (1)

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Working Paper: A geometric algorithm to solve the NI/G/NI/ND capacitated lot-sizing problem in O(T2) time (2003)
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Persistent link: https://EconPapers.repec.org/RePEc:ems:eureri:930

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