IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v191y2019ics0951832017313157.html
   My bibliography  Save this article

A novel evolutionary algorithmic solution approach for bilevel reliability-redundancy allocation problem

Author

Listed:
  • Muhuri, Pranab K.
  • Nath, Rahul

Abstract

Reliability-redundancy allocation problem (RRAP) is an optimization problem with objectives such as maximization of the system reliability and minimizations of cost, weight etc. It considers component reliability and the number of redundant components as decision variables. RRAP was mostly solved as a single level optimization problem. However, this problem has numerous variables and constraints. In this paper, we report a novel mixed-integer non-linear bilevel formulation for the RRAP of the series-parallel systems considering reliability, cost and weight as the main objectives. Then we show a novel way of solving the newly formulated bilevel RRAP using a latest bilevel optimization algorithm called BLEAQ (bilevel evolutionary algorithm based on quadratic approximations). Here, optimization is needed at two separate levels, where one problem is encircled within another problem. The inner problem is known as lower-level problem and the external problem is called upper-level problem. We demonstrate the working of the model considering a real-life example. For a thorough comparison, we also solve the problem using two existing bilevel evolutionary approaches to show the efficacy of our proposed solution approach.

Suggested Citation

  • Muhuri, Pranab K. & Nath, Rahul, 2019. "A novel evolutionary algorithmic solution approach for bilevel reliability-redundancy allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:reensy:v:191:y:2019:i:c:s0951832017313157
    DOI: 10.1016/j.ress.2019.106531
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832017313157
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2019.106531?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Abouei Ardakan, Mostafa & Zeinal Hamadani, Ali, 2014. "Reliability optimization of series–parallel systems with mixed redundancy strategy in subsystems," Reliability Engineering and System Safety, Elsevier, vol. 130(C), pages 132-139.
    2. 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.
    3. Yeh, Cheng-Ta & Fiondella, Lance, 2017. "Optimal redundancy allocation to maximize multi-state computer network reliability subject to correlated failures," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 138-150.
    4. Huang, Chia-Ling, 2015. "A particle-based simplified swarm optimization algorithm for reliability redundancy allocation problems," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 221-230.
    5. Zhang, Enze & Wu, Yifei & Chen, Qingwei, 2014. "A practical approach for solving multi-objective reliability redundancy allocation problems using extended bare-bones particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 65-76.
    6. 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.
    7. 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.
    8. 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.
    9. Dolatshahi-Zand, Ali & Khalili-Damghani, Kaveh, 2015. "Design of SCADA water resource management control center by a bi-objective redundancy allocation problem and particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 11-21.
    10. Zhang, Enze & Chen, Qingwei, 2016. "Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 83-92.
    11. Kong, Xiangyong & Gao, Liqun & Ouyang, Haibin & Li, Steven, 2015. "Solving the redundancy allocation problem with multiple strategy choices using a new simplified particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 147-158.
    12. Sinha, Ankur & Malo, Pekka & Deb, Kalyanmoy, 2017. "Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping," European Journal of Operational Research, Elsevier, vol. 257(2), pages 395-411.
    13. 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.
    14. Benoît Colson & Patrice Marcotte & Gilles Savard, 2007. "An overview of bilevel optimization," Annals of Operations Research, Springer, vol. 153(1), pages 235-256, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Shuai & Chi, Xuefen & Yu, Baozhu, 2022. "An improved particle swarm optimization algorithm for the reliability–redundancy allocation problem with global reliability," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    2. Nath, Rahul & Muhuri, Pranab K., 2022. "Evolutionary Optimization based Solution approaches for Many Objective Reliability-Redundancy Allocation Problem," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    3. Nath, Rahul & Muhuri, Pranab K., 2024. "A novel evolutionary solution approach for many-objective reliability-redundancy allocation problem based on objective prioritization and constraint optimization," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    4. Zhang, Hanxiao & Sun, Muxia & Li, Yan-Fu, 2022. "Reliability–redundancy allocation problem in multi-state flow network: Minimal cut-based approximation scheme," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    5. Wang, Delu & Liu, Yifei & Wang, Yadong & Shi, Xunpeng & Song, Xuefeng, 2020. "Allocation of coal de-capacity quota among provinces in China: A bi-level multi-objective combinatorial optimization approach," Energy Economics, Elsevier, vol. 87(C).
    6. Chowdury, Md. Abdul Malek & Nath, Rahul & Shukla, Amit K. & Rauniyar, Amit & Muhuri, Pranab K., 2024. "Multi-task optimization in reliability redundancy allocation problem: A multifactorial evolutionary-based approach," Reliability Engineering and System Safety, Elsevier, vol. 244(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Wei & Lin, Mingqiang & Fu, Yongnian & Luo, Xiaoping & Chen, Hanghang, 2020. "Multi-objective optimization of reliability-redundancy allocation problem for multi-type production systems considering redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    2. Du, Mengyu & Li, Yan-Fu, 2020. "An investigation of new local search strategies in memetic algorithm for redundancy allocation in multi-state series-parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    3. Ouyang, Zhiyuan & Liu, Yu & Ruan, Sheng-Jia & Jiang, Tao, 2019. "An improved particle swarm optimization algorithm for reliability-redundancy allocation problem with mixed redundancy strategy and heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 62-74.
    4. Gholinezhad, Hadi, 2024. "A new model for reliability redundancy allocation problem with component mixing," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    5. Enrico Zio & Hadi Gholinezhad, 2023. "Redundancy Allocation of Components with Time-Dependent Failure Rates," Mathematics, MDPI, vol. 11(16), pages 1-27, August.
    6. Saeideh Sheikhpour & Amin Kargar-Barzi & Ali Mahani, 2022. "A novel component mixing and mixed redundancy strategy for reliability optimization," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 328-346, February.
    7. 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).
    8. Zhang, Enze & Chen, Qingwei, 2016. "Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 83-92.
    9. Guilani, Pedram Pourkarim & Azimi, Parham & Niaki, S.T.A. & Niaki, Seyed Armin Akhavan, 2016. "Redundancy allocation problem of a system with increasing failure rates of components based on Weibull distribution: A simulation-based optimization approach," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 187-196.
    10. 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.
    11. 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.
    12. Jiangbin Zhao & Shubin Si & Zhiqiang Cai & Ming Su & Wei Wang, 2019. "Multiobjective optimization of reliability–redundancy allocation problems for serial parallel-series systems based on importance measure," Journal of Risk and Reliability, , vol. 233(5), pages 881-897, October.
    13. Mohamed Arezki Mellal & Enrico Zio, 2019. "An adaptive particle swarm optimization method for multi-objective system reliability optimization," Journal of Risk and Reliability, , vol. 233(6), pages 990-1001, December.
    14. 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).
    15. 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.
    16. Wang, Wei & Wu, Zhiying & Xiong, Junlin & Xu, Yaofeng, 2018. "Redundancy optimization of cold-standby systems under periodic inspection and maintenance," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 394-402.
    17. Li, Yan-Fu & Zhang, Hanxiao, 2022. "The methods for exactly solving redundancy allocation optimization for multi-state series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    18. Soheil Azizi & Milad Mohammadi, 2023. "Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 1021-1044, June.
    19. Huang, Xianzhen & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2019. "A heuristic survival signature based approach for reliability-redundancy allocation," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 511-517.
    20. Guilani, Pardis Pourkarim & Juybari, Mohammad N. & Ardakan, Mostafa Abouei & Kim, Heungseob, 2020. "Sequence optimization in reliability problems with a mixed strategy and heterogeneous backup scheme," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:191:y:2019:i:c:s0951832017313157. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.