IDEAS home Printed from https://ideas.repec.org/a/inm/orijoc/v32y3i2020p600-619.html
   My bibliography  Save this article

MILP Models for Complex System Reliability Redundancy Allocation with Mixed Components

Author

Listed:
  • Young Woong Park

    (Ivy College of Business, Iowa State University, Ames, Iowa 50011)

Abstract

The redundancy allocation problem (RAP) aims to find an optimal allocation of redundant components subject to resource constraints. In this paper, mixed integer linear programming (MILP) models and MILP-based algorithms are proposed for complex system reliability redundancy allocation problem with mixed components, where the system have bridges or interconnecting subsystems and each subsystem can have mixed types of components. Unlike the other algorithms in the literature, the proposed MILP models view the problem from a different point of view and approximate the nonconvex nonlinear system reliability function of a complex system using random samples. The solution to the MILP converges to the optimal solution of the original problem as sample size increases. In addition, data aggregation-based algorithms are proposed to improve the solution time and quality based on the proposed MILP models. A computational experiment shows that the proposed models and algorithms converge to the optimal or best-known solution as sample size increases. The proposed algorithms outperform popular metaheuristic algorithms in the literature.

Suggested Citation

  • Young Woong Park, 2020. "MILP Models for Complex System Reliability Redundancy Allocation with Mixed Components," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 600-619, July.
  • Handle: RePEc:inm:orijoc:v:32:y:3:i:2020:p:600-619
    DOI: 10.1287/ijoc.2019.0895
    as

    Download full text from publisher

    File URL: https://doi.org/10.1287/ijoc.2019.0895
    Download Restriction: no

    File URL: https://libkey.io/10.1287/ijoc.2019.0895?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
    ---><---

    References listed on IDEAS

    as
    1. Richard Bellman & Stuart Dreyfus, 1958. "Dynamic Programming and the Reliability of Multicomponent Devices," Operations Research, INFORMS, vol. 6(2), pages 200-206, April.
    2. David W. Coit & Alice E. Smith & David M. Tate, 1996. "Adaptive Penalty Methods for Genetic Optimization of Constrained Combinatorial Problems," INFORMS Journal on Computing, INFORMS, vol. 8(2), pages 173-182, May.
    3. Sung, C. S. & Cho, Y. K., 2000. "Reliability optimization of a series system with multiple-choice and budget constraints," European Journal of Operational Research, Elsevier, vol. 127(1), pages 159-171, November.
    4. Hong Ryoo, 2005. "Robust Metaheuristic Algorithm for Redundancy Optimization in Large-Scale Complex Systems," Annals of Operations Research, Springer, vol. 133(1), pages 209-228, January.
    5. Li, Chun-yang & Chen, Xun & Yi, Xiao-shan & Tao, Jun-yong, 2010. "Heterogeneous redundancy optimization for multi-state series–parallel systems subject to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 202-207.
    6. 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.
    7. 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.
    8. Robert Gordon, 1957. "Optimum Component Redundancy for Maximum System Reliability," Operations Research, INFORMS, vol. 5(2), pages 229-243, April.
    9. 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.
    10. 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.
    11. Sadan Kulturel-Konak & Bryan A. Norman & David W. Coit & Alice E. Smith, 2004. "Exploiting Tabu Search Memory in Constrained Problems," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 241-254, August.
    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. Zhang, Hanxiao & Li, Yan-Fu, 2022. "Robust optimization on redundancy allocation problems in multi-state and continuous-state series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    2. 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).

    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. 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).
    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. Anushri Maji & Asoke Kumar Bhunia & Shyamal Kumar Mondal, 2022. "A production-reliability-inventory model for a series-parallel system with mixed strategy considering shortage, warranty period, credit period in crisp and stochastic sense," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 862-907, September.
    4. Peiravi, Abdossaber & Ardakan, Mostafa Abouei & Zio, Enrico, 2020. "A new Markov-based model for reliability optimization problems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    5. Levitin, Gregory & Finkelstein, Maxim & Li, Yan-Feng, 2020. "Balancing mission success probability and risk of system loss by allocating redundancy in systems operating with a rescue option," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    6. Xian Zhao & Jing Zhang & Xiaoyue Wang, 2019. "Joint optimization of components redundancy, spares inventory and repairmen allocation for a standby series system," Journal of Risk and Reliability, , vol. 233(4), pages 623-638, August.
    7. Seyed Mohsen Mousavi & Najmeh Alikar & Madjid Tavana & Debora Di Caprio, 2019. "An improved particle swarm optimization model for solving homogeneous discounted series-parallel redundancy allocation problems," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1175-1194, March.
    8. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability models for a nonrepairable system with heterogeneous components having a phase-type time-to-failure distribution," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 37-46.
    9. 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.
    10. 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.
    11. Sadan Kulturel-Konak & Bryan A. Norman & David W. Coit & Alice E. Smith, 2004. "Exploiting Tabu Search Memory in Constrained Problems," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 241-254, August.
    12. Xu, Dong & Tian, Yubin & Shi, Junbiao & Wang, Dianpeng & Zhang, Ming & Li, Haijin, 2023. "Reliability analysis and optimal redundancy for a satellite power supply system based on a new dynamic k-out-of-n: G model," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    13. Azadeh, A. & Maleki Shoja, B. & Ghanei, S. & Sheikhalishahi, M., 2015. "A multi-objective optimization problem for multi-state series-parallel systems: A two-stage flow-shop manufacturing system," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 62-74.
    14. 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.
    15. Marco Caserta & Stefan Voß, 2016. "A corridor method based hybrid algorithm for redundancy allocation," Journal of Heuristics, Springer, vol. 22(4), pages 405-429, August.
    16. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    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. 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.
    19. Zaretalab, Arash & Hajipour, Vahid & Tavana, Madjid, 2020. "Redundancy allocation problem with multi-state component systems and reliable supplier selection," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    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:inm:orijoc:v:32:y:3:i:2020:p:600-619. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.