OPTIMAL POLICY FOR A TWO-UNIT SYSTEM WITH TWO TYPES OF INSPECTIONS

S. Mizutani and T. Nakagawa
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S. Mizutani: Department of Media Informations, Aichi University of Technology, 50-2 Manori Nishihazama cho, Gamagori 443-0047, Japan
T. Nakagawa: Department of Marketing and Information Systems, Aichi Institute of Technology, 1247 Yachigusa, Yakusa cho, Toyota, 470-0392, Japan

Chapter 12 in Recent Advances in Stochastic Operations Research II, 2009, pp 171-181 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThis paper considers an optimal inspection policy for a two-unit system which is checked periodically with two types of inspections: Type-1 inspection has the loss cost which is lower than that of type-2 inspection. However, type-1 inspection is impossible to replace failed unit with a new one. On the other hand, type-2 inspection can replace failed unit with a new one. However, its loss cost is higher than that of type-1 inspection. Therefore, type-1 inspection checks the system so frequently more than type-2 inspection. We consider the time from the beginning of system operation to the replacement of a failed system. Then, the mean time and the expected cost per unit of time are derived analytically. Further, numerical examples are given when the failure time distributions are exponential.

Keywords: Operations Research; Uncertainty; Applied Probability; Stochastic Process; Optimization; Decision Science (search for similar items in EconPapers)
Date: 2009
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