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Multi-objective optimization in redundant system considering load sharing

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  • de Paula, Cassio Pereira
  • Visnadi, Lais Bittencourt
  • de Castro, Helio Fiori

Abstract

Reliability allocation problem (RAP) deals with the dilemma between reliability (or availability) increase and some undesirable consequences, as an increase in cost. Therefore, new installations or maintenance investments should be optimally allocated to maximize the reliability (or availability), considering all restrictions. This paper proposes a solution for the RAP problem, taking into account failure dependency among redundant components. Because of that, a stochastic approach, based on Markov Chain, is applied. The multi-objective problem is solved with NSGA-II (Non-Dominated Sorting Genetic Algorithm II), assuming availability and overall costs as objective functions. Two examples are tested with the proposed approach. The first case is a hypothetical system with 5 subsystems in series. The second example is a real industrial application. In both cases, a Pareto front is obtained, allowing an analysis of viable solutions to be adopted. Additionally, the failure dependency effect is also present in the optimization results. Therefore, it is possible to investigate the influence on the system availability and final cost.

Suggested Citation

  • de Paula, Cassio Pereira & Visnadi, Lais Bittencourt & de Castro, Helio Fiori, 2019. "Multi-objective optimization in redundant system considering load sharing," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 17-27.
    • Handle: RePEc:eee:reensy:v:181:y:2019:i:c:p:17-27
    DOI: 10.1016/j.ress.2018.08.012
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    References listed on IDEAS

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    1. Olde Keizer, Minou C.A. & Teunter, Ruud H. & Veldman, Jasper & Babai, M. Zied, 2018. "Condition-based maintenance for systems with economic dependence and load sharing," International Journal of Production Economics, Elsevier, vol. 195(C), pages 319-327.
    2. de Castro, Hélio Fiori & Cavalca, Katia Lucchesi, 2006. "Maintenance resources optimization applied to a manufacturing system," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 413-420.
    3. 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.
    4. Alikar, Najmeh & Mousavi, Seyed Mohsen & Raja Ghazilla, Raja Ariffin & Tavana, Madjid & Olugu, Ezutah Udoncy, 2017. "Application of the NSGA-II algorithm to a multi-period inventory-redundancy allocation problem in a series-parallel system," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 1-10.
    5. Attar, Ahmad & Raissi, Sadigh & Khalili-Damghani, Kaveh, 2017. "A simulation-based optimization approach for free distributed repairable multi-state availability-redundancy allocation problems," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 177-191.
    6. Chanseok Park, 2010. "Parameter estimation for the reliability of load-sharing systems," IISE Transactions, Taylor & Francis Journals, vol. 42(10), pages 753-765.
    7. Singh, Bhupendra & Sharma, K.K. & Kumar, Anuj, 2008. "A classical and Bayesian estimation of a k-components load-sharing parallel system," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5175-5185, August.
    8. 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.
    9. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    10. Mostafa Abouei Ardakan & Mohammad Sima & Ali Zeinal Hamadani & David W. Coit, 2016. "A novel strategy for redundant components in reliability--redundancy allocation problems," IISE Transactions, Taylor & Francis Journals, vol. 48(11), pages 1043-1057, November.
    11. Kayedpour, Farjam & Amiri, Maghsoud & Rafizadeh, Mahmoud & Shahryari Nia, Arash, 2017. "Multi-objective redundancy allocation problem for a system with repairable components considering instantaneous availability and strategy selection," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 11-20.
    12. Abouei Ardakan, Mostafa & Rezvan, Mohammad Taghi, 2018. "Multi-objective optimization of reliability–redundancy allocation problem with cold-standby strategy using NSGA-II," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 225-238.
    13. 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.
    14. Caserta, Marco & Voß, Stefan, 2015. "An exact algorithm for the reliability redundancy allocation problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 110-116.
    15. Tian, Zhigang & Levitin, Gregory & Zuo, Ming J., 2009. "A joint reliability–redundancy optimization approach for multi-state series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1568-1576.
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    2. Süle, Zoltán & Baumgartner, János & Dörgő, Gyula & Abonyi, János, 2019. "P-graph-based multi-objective risk analysis and redundancy allocation in safety-critical energy systems," Energy, Elsevier, vol. 179(C), pages 989-1003.
    3. Zaretalab, Arash & Sharifi, Mani & Guilani, Pedram Pourkarim & Taghipour, Sharareh & Niaki, Seyed Taghi Akhavan, 2022. "A multi-objective model for optimizing the redundancy allocation, component supplier selection, and reliable activities for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    4. 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).
    5. Mellal, Mohamed Arezki & Zio, Enrico & Al-Dahidi, Sameer & Masuyama, Naoki & Nojima, Yusuke, 2023. "System design optimization with mixed subsystems failure dependencies," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    6. Shi, Haohao & Zhang, Ji & Zio, Enrico & Zhao, Xufeng, 2023. "Opportunistic maintenance policies for multi-machine production systems with quality and availability improvement," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    7. Brown, Bodunrin & Liu, Bin & McIntyre, Stuart & Revie, Matthew, 2022. "Reliability analysis of load-sharing systems with spatial dependence and proximity effects," Reliability Engineering and System Safety, Elsevier, vol. 221(C).

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