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Optimal Redundancy for Reliability in Series Systems

Author

Listed:
  • P. M. Ghare

    (Virginia Polytechnic Institute, Blacksburg, Virginia)

  • R. E. Taylor

    (Virginia Polytechnic Institute, Blacksburg, Virginia)

Abstract

This paper considers the problem of determining the optimal number of redundant components in order to maximize the reliability of a series system subject to multiple resource restrictions. After formulating and solving an associated zero-one programming problem by a branch-and-bound procedure, the paper shows that the optimal solution to the associated problem is equivalent to the optimal solution for the optimal redundancy problem. Finally, the paper shows that this technique solves fairly large problems with multiple constraints without excessive storage-space requirements.

Suggested Citation

  • P. M. Ghare & R. E. Taylor, 1969. "Optimal Redundancy for Reliability in Series Systems," Operations Research, INFORMS, vol. 17(5), pages 838-847, October.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:5:p:838-847
    DOI: 10.1287/opre.17.5.838
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    Cited by:

    1. Nahas, Nabil & Nourelfath, Mustapha & Ait-Kadi, Daoud, 2007. "Coupling ant colony and the degraded ceiling algorithm for the redundancy allocation problem of series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 211-222.
    2. Sadan Kulturel-Konak & Bryan A. Norman & David W. Coit & Alice E. Smith, 2004. "Exploiting Tabu Search Memory in Constrained Problems," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 241-254, August.
    3. Chatwattanasiri, Nida & Coit, David W. & Wattanapongsakorn, Naruemon, 2016. "System redundancy optimization with uncertain stress-based component reliability: Minimization of regret," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 73-83.
    4. 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).
    5. Li, Zhaojun & Liao, Haitao & Coit, David W., 2009. "A two-stage approach for multi-objective decision making with applications to system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1585-1592.
    6. Ramirez-Marquez, Jose E. & Coit, David W., 2007. "Optimization of system reliability in the presence of common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1421-1434.
    7. Liang, Yun-Chia & Chen, Yi-Ching, 2007. "Redundancy allocation of series-parallel systems using a variable neighborhood search algorithm," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 323-331.
    8. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).

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