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A RELATIVE BENEFIT ALGORITHM FOR BASIC ECONOMIC LOT SIZE PROBLEM

A RELATIVE BENEFIT ALGORITHM FOR BASIC ECONOMIC LOT SIZE PROBLEM
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摘要 The paper develops an algorithm that solves economic lot size problem in O(n~2) time in the Wagner-Whitin case. The algorithm is based on the standard dynamic programming approach which requires the computation of the maximal relative benefit for some possible subplans of the production plan. In this algorithm the authors have studied the forward property and decomposition properties which can make computation easy. The proposed algorithm appears to perform quite reasonably for practical application. The paper develops an algorithm that solves economic lot size problem in O(n^2) time in the Wagner-Whitin case. The algorithm is based on the standard dynamic programming approach which requires the computation of the maximal relative benefit for some possible subplans of the production plan. In this algorithm the authors have studied the forward property and decomposition properties which can make computation easy. The proposed algorithm appears to perform quite reasonably for practical application.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2001年第2期159-165,共7页 数学物理学报(B辑英文版)
关键词 Economic lot size forward reiteration relative benefit Economic lot size, forward reiteration, relative benefit
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参考文献4

  • 1H.C. Bahl,L.P. Ritzman,J.N.D. Gupta.Determining lot sizes and resource requirements: A review[].Operations Research.1987
  • 2Federgruen A,Tzur M.A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Model with nPeriods in O(n log n) or O(n) Time[].Management Science.1991
  • 3Aggarwal,Park J K.Improved Algorithm for Economic Lot Size Problems[].Operations Research.1993
  • 4Pochet Y,Wolsey L A.Lot-Sizing with Constant Batches: Formulation and Valid Inequalities[].Mathe-matics of Oper Res.1993

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