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Optimization Methods for Redundancy Allocation in Hybrid Structure Large Binary Systems

Author

Listed:
  • Petru Cașcaval

    (Faculty of Automatic Control and Computer Engineering, “Gheorghe Asachi” Technical University of Iasi, Bd. Mangeron 27, 700050 Iasi, Romania)

  • Florin Leon

    (Faculty of Automatic Control and Computer Engineering, “Gheorghe Asachi” Technical University of Iasi, Bd. Mangeron 27, 700050 Iasi, Romania)

Abstract

This paper addresses the issue of optimal redundancy allocation in hybrid structure large binary systems. Two aspects of optimization are considered: (1) maximizing the reliability of the system under the cost constraint, and (2) obtaining the necessary reliability at a minimum cost. The complex binary system considered in this work is composed of many subsystems with redundant structure. To cover most of the cases encountered in practice, the following kinds of redundancy are considered: active redundancy, passive redundancy, hybrid standby redundancy with a hot or warm reserve and possibly other cold ones, triple modular redundancy (TMR) structure with control facilities and cold spare components, static redundancy: triple modular redundancy or 5-modular redundancy (5MR), TMR/Simplex with cold standby redundancy, and TMR/Duplex with cold standby redundancy. A classic evolutionary algorithm highlights the complexity of this optimization problem. To master the complexity of this problem, two fundamentally different optimization methods are proposed: an improved evolutionary algorithm and a zero-one integer programming formulation. To speed up the search process, a lower bound is determined first. The paper highlights the difficulty of these optimization problems for large systems and, based on numerical results, shows the effectiveness of zero-one integer programming.

Suggested Citation

  • Petru Cașcaval & Florin Leon, 2022. "Optimization Methods for Redundancy Allocation in Hybrid Structure Large Binary Systems," Mathematics, MDPI, vol. 10(19), pages 1-33, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3698-:d:937371
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    References listed on IDEAS

    as
    1. Gholinezhad, Hadi & Zeinal Hamadani, Ali, 2017. "A new model for the redundancy allocation problem with component mixing and mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 66-73.
    2. Peiravi, Abdossaber & Karbasian, Mahdi & Ardakan, Mostafa Abouei & Coit, David W., 2019. "Reliability optimization of series-parallel systems with K-mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 17-28.
    3. Feizabadi, Mohammad & Jahromi, Abdolhamid Eshraghniaye, 2017. "A new model for reliability optimization of series-parallel systems with non-homogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 101-112.
    4. Sadjadi, Seyed Jafar & Soltani, R., 2009. "An efficient heuristic versus a robust hybrid meta-heuristic for general framework of serial–parallel redundancy problem," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1703-1710.
    5. Khalili-Damghani, Kaveh & Abtahi, Amir-Reza & Tavana, Madjid, 2013. "A new multi-objective particle swarm optimization method for solving reliability redundancy allocation problems," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 58-75.
    6. Dobani, Ehsan Ramezani & Ardakan, Mostafa Abouei & Davari-Ardakani, Hamed & Juybari, Mohammad N., 2019. "RRAP-CM: A new reliability-redundancy allocation problem with heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    7. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    Full references (including those not matched with items on IDEAS)

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