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An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy

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  • Reihaneh, Mohammad
  • Abouei Ardakan, Mostafa
  • Eskandarpour, Majid

Abstract

The redundancy allocation problem (RAP) is one of the most commonly used approaches for improving the reliability of systems. The present study investigates the most recent variant of RAP, namely, the RAP with heterogeneous components under the mixed redundancy strategy. An exact branch-and-price (BP) algorithm is proposed for the problem that solves in less than one CPU second all the benchmark instances reported in the literature. The algorithm is not only the first exact one proposed for the RAP with a mixed strategy but also the first application of the BP algorithm in the literature of reliability optimization problems. The proposed BP algorithm is also capable of solving other variants of RAP, including RAPs with either an active or a standby strategy, making it possible to investigate the advantages of the mixed strategy over the active and standby strategies. Finally, a new set of instances is generated to evaluate the performance of the proposed algorithm in dealing with more challenging instances.

Suggested Citation

  • Reihaneh, Mohammad & Abouei Ardakan, Mostafa & Eskandarpour, Majid, 2022. "An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1112-1125.
    • Handle: RePEc:eee:ejores:v:297:y:2022:i:3:p:1112-1125
    DOI: 10.1016/j.ejor.2021.06.033
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    Cited by:

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    3. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Universal redundancy strategy for system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    4. Zhang, Zixuan & Yang, Lin & Xu, Youwei & Zhu, Ran & Cao, Yining, 2023. "A novel reliability redundancy allocation problem formulation for complex systems," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    5. Hsieh, Tsung-Jung, 2023. "Performance indicator-based multi-objective reliability optimization for multi-type production systems with heterogeneous machines," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    6. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).

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