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Markov Processes and Controlled Markov Chains pp 499–511Cite as

Expected Loss and Availability of Multistate Repairable System

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Abstract

Expected loss and availability of a multistate repairable system, allowing bulk-repair and bulk faults, with an overhaul period in the schedule are discussed. A new class of integral functional is first considered. Their moments and L-transformations are given and two ratio functions are defined as numerical indexes of availability of the system and are used to find out an optimum overhaul period. Discussion of the paper will be useful for traditional industry and control systems, computer information science (for example, computer recognition of speech and picture) and economy management. The obtained results are not only exact but also can be approximated for use on the computer.

Project supported by NSFC (19871045) and by Tsinghua Univ. (JC1999042)

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Yubo Ge

Authors
  1. Yubo Ge
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Editor information

Editors and Affiliations

  1. Research Department, Changsha Railway University, Changsha, China

    Zhenting Hou

  2. School of Mathematics, University of South Australia, Mawson Lakes, SA, Australia

    Jerzy A. Filar

  3. School of Computing and Mathematical Sciences, University of Greenwich, London, UK

    Anyue Chen

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© 2002 Kluwer Academic Publishers

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Ge, Y. (2002). Expected Loss and Availability of Multistate Repairable System. In: Hou, Z., Filar, J.A., Chen, A. (eds) Markov Processes and Controlled Markov Chains. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0265-0_32

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  • DOI: https://doi.org/10.1007/978-1-4613-0265-0_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7968-3

  • Online ISBN: 978-1-4613-0265-0

  • eBook Packages: Springer Book Archive

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