NOTE ON STOCHASTIC INVENTORY MODELS WITH SERVICE LEVEL CONSTRAINT

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概要

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• This note examines the inventory model with service level constraint in which the lead time, the reordered point and order quantity are treated as decision variables. The previous researchers believed that the objective function is concave in the lead time such that the minimum must occur on the boundary points of each sub-domain. In this note, we will show that their belief contains questionable results. In a recent paper in Journal of the Operations Research Society of Japan, Ouyang and Chuang studied this problem. However, their algorithm might not find the optimal solution due to flaws in their solution procedure. We developed some lemmas to reveal the parameter effects and then presented the complete procedures for finding the optimal solution for the inventory model in which the lead time demand is unknown and for solving by the Gallego's minimax distribution free procedure. The savings are illustrated by solving the same examples from Ouyang and Chuang's paper to demonstrate a 30% improvement by our revised algorithm.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Lin Robert

  Oriental Institute Of Technology

• Chu Peter

  Central Police University

関連論文

• INVENTORY MODELS WITH A NEGATIVE EXPONENTIAL CRASHING COST TAKING TIME VALUE INTO ACCOUNT
• NOTE ON STOCHASTIC INVENTORY MODELS WITH SERVICE LEVEL CONSTRAINT
• ON VARGAS'S PROOF OF CONSISTENCY TEST FOR 3 × 3 COMPARISON MATRICES IN AHP

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