Dynamic Performance of Series Parallel Multi-state Systems with Standby Subsystems or Repairable Binary Elements

Gregory Levitin () and Liudong Xing ()
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Gregory Levitin: The Israel Electric Corporation
Liudong Xing: University of Massachusetts Dartmouth

A chapter in Recent Advances in Multi-state Systems Reliability, 2018, pp 159-178 from Springer

Abstract: Abstract This chapter presents a method for evaluating dynamic performance of multi-state systems with a general series parallel structure. The system components can be either repairable binary elements with given time-to-failure and repair time distributions, or 1-out-of-N warm standby configurations of heterogeneous binary elements characterized by different performances and time-to-failure distributions. The entire system needs to satisfy a random demand defined by a time-dependent distribution. Iterative algorithms are presented for determining performance stochastic processes of individual components. A universal generating function technique is implemented for evaluating the dynamic system performance indices. Examples are provided to demonstrate applications of the proposed methodology.

Keywords: Multi-state system; Repair; Warm standby; Stochastic process; Instantaneous availability; Unsupplied demand (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-319-63423-4_8

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DOI: 10.1007/978-3-319-63423-4_8

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