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

In: Recent Advances in Multi-state Systems Reliability

Author

Listed:
  • Gregory Levitin

    (The Israel Electric Corporation)

  • Liudong Xing

    (University of Massachusetts Dartmouth)

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.

Suggested Citation

  • Gregory Levitin & Liudong Xing, 2018. "Dynamic Performance of Series Parallel Multi-state Systems with Standby Subsystems or Repairable Binary Elements," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel & Alex Karagrigoriou (ed.), Recent Advances in Multi-state Systems Reliability, pages 159-178, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-63423-4_8
    DOI: 10.1007/978-3-319-63423-4_8
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