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Random Parallel Systems

Authors: Toshio Nakagawa;

Random Parallel Systems

Abstract

High system reliability can be achieved by redundancy and maintenance. The most typical model is a standard parallel system which consists of \(n\) 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 \(k\)-out-of-\(n\) systems was done [6, 7].

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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