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Random Parallel Systems

In: Random Maintenance Policies

Author

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  • Toshio Nakagawa

    (Aichi Institute of Technology)

Abstract

High system reliability can be achieved by redundancy and maintenance. The most typical model is a standard parallel system which consists of $$n$$ n identical units in parallel. It was originally shown that the system can operate for a specified mean time by either changing the replacement time or increasing the number of units [1, p. 65]. There liabilities of many redundant systems were computed and summarized [2]. A variety of redundant systems with multiple failure modes and their optimization problems were discussed [3]. Reliabilities of parallel and parallel-series systems with dependent failures of components were derived [4]. Some optimization methods of redundancy allocation for series-parallel systems were studied [5]. A good survey of multistate and consecutive $$k$$ k -out-of- $$n$$ n systems was done [6, 7].

Suggested Citation

  • Toshio Nakagawa, 2014. "Random Parallel Systems," Springer Series in Reliability Engineering, in: Random Maintenance Policies, edition 127, chapter 0, pages 141-174, Springer.
    • Handle: RePEc:spr:ssrchp:978-1-4471-6575-0_6
    DOI: 10.1007/978-1-4471-6575-0_6
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