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Optimal Policy For A Two-Unit System With Two Types Of Inspections

In: Recent Advances In Stochastic Operations Research II

Author

Listed:
  • 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)

Abstract

This 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.

Suggested Citation

  • S. Mizutani & T. Nakagawa, 2009. "Optimal Policy For A Two-Unit System With Two Types Of Inspections," World Scientific Book Chapters, in: Tadashi Dohi & Shunji Osaki & Katsushige Sawaki (ed.), Recent Advances In Stochastic Operations Research II, chapter 12, pages 171-181, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812791672_0012
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