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Dynamic lot sizing problem with continuous-time Markovian production cost

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Author Info
Azaron, Amir
Tang, Ou
Tavakkoli-Moghaddam, Reza
Abstract

This paper develops a polynomial algorithm for obtaining dynamic economic lot sizes in a single product multiperiod production system with the objective of minimizing total production and inventory costs over T periods. It is assumed that production costs are linear, inventory costs are concave, setup costs are zero and backlogging is not permitted in all periods. Moreover, the unit production cost is a stochastic variable, which is evolved according to a continuous-time Markov process over the planning horizon. The model is formulated as a stochastic dynamic programming (DP) optimization with the state variable being unit production cost. Then, it is solved using the backward dynamic programming approach. To justify the application of the proposed model, two practical cases are presented.

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Publisher Info
Article provided by Elsevier in its journal International Journal of Production Economics.

Volume (Year): 120 (2009)
Issue (Month): 2 (August)
Pages: 607-612
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Handle: RePEc:eee:proeco:v:120:y:2009:i:2:p:607-612

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Related research
Keywords: Dynamic lot sizing Dynamic programming Stochastic processes;

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This page was last updated on 2009-12-30.


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