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Repair Strategies in an Uncertain Environment: Stochastic Game Approach

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Stochastic Reliability and Maintenance Modeling

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY,volume 9))

Abstract

This chapter deals with Repair strategies for stand-by equipment which maximises the time until failure when there is a vital need for the equipment, and it is unable to respond. We model conflict situations where the operating environment is controlled by an opponent. We develop stochastic game models to determine the form of the optimal Maintenance/Repair policy under these conditions and present numerical examples.

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Acknowledgments

It is a privilege for us, particularly for LT to submit an article to this book in honour of Prof Osaki. LT did his doctorate in quantum probability and so was only learning about Operational Research in his post at the University of Manchester in the UK, when Professor Osaki came to the Department of Decision Theory as a visiting professor for a year in 1976. Through him, he learnt so much about using stochastic processes to model problems of replacement, maintenance, inventory and other aspects of logistics. This visit led to two joint papers, but also encouraged LT to work on real problems where there are decisions and uncertainty involved. At the time of his visit, Professor Osaki was publishing papers on the optimal Maintenance and Repair policies for standby systems [15, 16]; so it is appropriate that this paper looks again at the problem of repair and maintenance of standby systems. However, it is an unfortunate telling comment on current times that the paper concentrates on what happens when malevolent people seek to cause havoc by manipulating the operating environment.

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Authors and Affiliations

  1. School of Management, University of Southampton, Southampton, UK

    Y.-H. Kim & Lyn C. Thomas

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  1. Y.-H. Kim
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  2. Lyn C. Thomas
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Correspondence to Lyn C. Thomas .

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Editors and Affiliations

  1. , Department of Information Engineering, Hiroshima University, Kagamiyama 1-4-1, Higashi-Hiroshima, 739-8527, Japan

    Tadashi Dohi

  2. , Dept. of Business administration, Aichi Institute of Technology, Yachigusa, Yagusa-cho 1247, Toyota, 470-0392, Japan

    Toshio Nakagawa

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Kim, YH., Thomas, L.C. (2013). Repair Strategies in an Uncertain Environment: Stochastic Game Approach. In: Dohi, T., Nakagawa, T. (eds) Stochastic Reliability and Maintenance Modeling. Springer Series in Reliability Engineering, vol 9. Springer, London. https://doi.org/10.1007/978-1-4471-4971-2_6

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  • DOI: https://doi.org/10.1007/978-1-4471-4971-2_6

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4970-5

  • Online ISBN: 978-1-4471-4971-2

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