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A two-stage reliability optimization approach for solving series–parallel redundancy allocation problem considering the sale of worn-out parts

Author

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  • Bakhtiar Ostadi

    (Tarbiat Modares University)

  • Ramtin Hamedankhah

    (Tarbiat Modares University)

Abstract

Redundancy allocation is one of the methods of enhancing the reliability of a system. The components are specified and located based on a non-linear problem. In all problems, a few subsystems are selected to add the parts. Then, the allocation takes place and the new value of reliability is measured. Designers considered a constraint for reliability, and problem-solving at zero time is not the best strategy. Since the reliability decreases over time, this study focused on an approach for two stage reliability optimization to solve series–parallel redundancy allocation problem considering sale of worn-out parts. One a portion of the budget will be spent on maximizing reliability as the system is launched. Other; the reliability reaches its minimum acceptable value, while the remaining budget will be spent on replacement of system’s parts. When a component of the system is replaced earlier than its lifetime, the available budget can be expanded based on the book value of the component. In fact, this model allows the sales of components used in this model. Moreover, the replacement time is calculated based on the constraint set for the level of reliability. It has also highlighted that the cost is significantly reduced with the proposed approach. In this model, both the solution and results are used at zero time. Finally, the mathematical model is examined by an example.

Suggested Citation

  • Bakhtiar Ostadi & Ramtin Hamedankhah, 2021. "A two-stage reliability optimization approach for solving series–parallel redundancy allocation problem considering the sale of worn-out parts," Annals of Operations Research, Springer, vol. 304(1), pages 381-396, September.
    • Handle: RePEc:spr:annopr:v:304:y:2021:i:1:d:10.1007_s10479-021-04093-1
    DOI: 10.1007/s10479-021-04093-1
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    References listed on IDEAS

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    1. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability–redundancy allocation problem considering optimal redundancy strategy using parallel genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 153-160.
    2. Mingchih Chen & Xufeng Zhao & Toshio Nakagawa, 2019. "Replacement policies with general models," Annals of Operations Research, Springer, vol. 277(1), pages 47-61, June.
    3. Abdollahzadeh, Hadi & Atashgar, Karim & Abbasi, Morteza, 2016. "Multi-objective opportunistic maintenance optimization of a wind farm considering limited number of maintenance groups," Renewable Energy, Elsevier, vol. 88(C), pages 247-261.
    4. 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.
    5. Tavakkoli-Moghaddam, R. & Safari, J. & Sassani, F., 2008. "Reliability optimization of series-parallel systems with a choice of redundancy strategies using a genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 550-556.
    6. Ha, Chunghun & Kuo, Way, 2006. "Reliability redundancy allocation: An improved realization for nonconvex nonlinear programming problems," European Journal of Operational Research, Elsevier, vol. 171(1), pages 24-38, May.
    7. Cheng-Fu Huang, 2019. "Evaluation of system reliability for a stochastic delivery-flow distribution network with inventory," Annals of Operations Research, Springer, vol. 277(1), pages 33-45, June.
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    Cited by:

    1. Jingyi Zhao & Chunhai Gao & Tao Tang, 2022. "A Review of Sustainable Maintenance Strategies for Single Component and Multicomponent Equipment," Sustainability, MDPI, vol. 14(5), pages 1-22, March.

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