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Optimal arrangement of components via pairwise rearrangements

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  • Philip J. Boland
  • Frank Proschan
  • Y. L. Tong

Abstract

We introduce the notion of comparison of the criticality of two nodes in a coherent system, and devlop a monotonicity property of the reliability function under component pairwise rearrangement. We use this property to find the optimal component arrangement. Worked examples illustrate the methods proposed.

Suggested Citation

  • Philip J. Boland & Frank Proschan & Y. L. Tong, 1989. "Optimal arrangement of components via pairwise rearrangements," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 807-815, December.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:6:p:807-815
    DOI: 10.1002/1520-6750(198912)36:63.0.CO;2-I
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    Cited by:

    1. Hsun‐Wen Chang & F.K. Hwang, 2002. "Rare‐event component importance for the consecutive‐k system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 159-166, March.
    2. Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    3. da Costa Bueno, Vanderlei, 2005. "Minimal standby redundancy allocation in a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 165(3), pages 786-793, September.
    4. 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.
    5. da Costa Bueno, Vanderlei & Martins do Carmo, Iran, 2007. "Active redundancy allocation for a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1041-1051, January.
    6. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    7. Bhattacharya, Debasis & Samaniego, Francisco J., 2008. "On the optimal allocation of components within coherent systems," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 938-943, May.
    8. Wu, Shaomin & Coolen, Frank P.A., 2013. "A cost-based importance measure for system components: An extension of the Birnbaum importance," European Journal of Operational Research, Elsevier, vol. 225(1), pages 189-195.

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