Optimal Design of Parallel-Series Systems with Competing Failure Modes

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The problem is to achieve optimal subsystem size for parallel-series systems, assuming that components and systems are subject to two types of failure modes: open & short. Components are statistically independent and identically distributed; the costs of the two modes of system failures need not be the same. 'Ihe objectives of this paper are to optimize the number of subsystems (m), for a given number of components in each subsystem (n), such that: the mean system profit is maximized showing how m depends on system parameters and showing that there does not exist a pair (m,n) maximizing the mean system-profit minimizes the mean system cost. The results are illustrated with several numerical examples.

Original languageEnglish (US)
Pages (from-to)583-587
Number of pages5
JournalIEEE Transactions on Reliability
Issue number4
StatePublished - Dec 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


  • Competing failure mode
  • Cost optimization
  • Mean system profit
  • Open mode
  • Short mode

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