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Note: Pairwise rearrangements in reliability structures

Author

Listed:
  • M. V. Koutras
  • G. K. Papadopoulos
  • S. G. Papastavridis

Abstract

Boland, Proschan, and Tong [2] used the notion of criticality of nodes in a coherent system to study the optimal component arrangement of reliability structures. They also provided a sufficient minimal cut (path) based criterion for verifying the criticality ordering of two nodes. We develop a necessary and sufficient condition for two nodes to be comparable and provide specific examples illustrating our result's applicability. As a corollary, certain optimal arrangement properties of well‐known systems are derived. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • M. V. Koutras & G. K. Papadopoulos & S. G. Papastavridis, 1994. "Note: Pairwise rearrangements in reliability structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 683-687, August.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:5:p:683-687
    DOI: 10.1002/1520-6750(199408)41:53.0.CO;2-Y
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    References listed on IDEAS

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    1. David M. Malon, 1990. "When is greedy module assembly optimal?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 847-854, December.
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    Cited by:

    1. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    2. M. Xie & C. D. Lai, 1996. "Exploiting symmetry in the reliability analysis of coherent systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(7), pages 1025-1034, October.
    3. Stathis Chadjiconstantinidis & Markos V. Koutras, 1999. "Measures of component importance for markov chain imbeddable reliability structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 613-639, September.
    4. Chia‐Shin Chung & James Flynn, 1997. "A heuristic algorithm for determining replacement policies in k‐out‐of‐n systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 273-286, April.

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    5. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.

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