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An O(T3) algorithm for the capacitated lot sizing problem with minimum order quantities

Listed author(s):
  • Okhrin, Irena
  • Richter, Knut

This paper explores a single-item capacitated lot sizing problem with minimum order quantity, which plays the role of minor set-up cost. We work out the necessary and sufficient solvability conditions and apply the general dynamic programming technique to develop an O(T3) exact algorithm that is based on the concept of minimal sub-problems. An investigation of the properties of the optimal solution structure allows us to construct explicit solutions to the obtained sub-problems and prove their optimality. In this way, we reduce the complexity of the algorithm considerably and confirm its efficiency in an extensive computational study.

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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 211 (2011)
Issue (Month): 3 (June)
Pages: 507-514

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Handle: RePEc:eee:ejores:v:211:y:2011:i:3:p:507-514
Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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