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A two-echelon (S-1,S) inventory model for repairable items based on markovian arrival process

Department of Management Engineering, Naval University of Engineering, Wuhan 430033, China

Received: 2015-03-15 Available online: 2015-05-20 08:52:03.000

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Abstract

This paper investigates a two-echolon inventory system with (S-1,S) policy that consists of several same repairable items and single repair facility, and assumes that the item demand occur according to a markovian arrival process (MAP), the repair time, ship time and procurement time follow the general distribution which is represented by phase-type (PH) distribution. Then a inventory optimization model with better description ability and analytical performance is given, and the probability distribution of backorder is obtained. Finally, a numerical example was given to illustrate the effectiveness of the model.

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