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Approximation algorithms for deterministic continuous-review inventory lot-sizing problems with time-varying demand

G. Massonnet, J.-P. Gayon and C. Rapine

European Journal of Operational Research, 2014, vol. 234, issue 3, 641-649

Abstract: This work deals with the continuous time lot-sizing inventory problem when demand and costs are time-dependent. We adapt a cost balancing technique developed for the periodic-review version of our problem to the continuous-review framework. We prove that the solution obtained costs at most twice the cost of an optimal solution. We study the numerical complexity of the algorithm and generalize the policy to several important extensions while preserving its performance guarantee of two. Finally, we propose a modified version of our algorithm for the lot-sizing model with some restricted settings that improves the worst-case bound.

Keywords: Inventory theory; Approximation algorithms; Continuous-review policy; Deterministic model (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:234:y:2014:i:3:p:641-649

DOI: 10.1016/j.ejor.2013.09.037

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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