IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v193y2020ics095183201930362x.html
   My bibliography  Save this article

Sequence optimization in reliability problems with a mixed strategy and heterogeneous backup scheme

Author

Listed:
  • Guilani, Pardis Pourkarim
  • Juybari, Mohammad N.
  • Ardakan, Mostafa Abouei
  • Kim, Heungseob

Abstract

The redundancy allocation problem (RAP) is an interesting area of research in reliability optimization. A common constraint underlying most models developed for the RAP requires system designers to develop subsystems comprising homogeneous components. It is, however, impossible to achieve desirably high system reliability levels under this constraint. The present study is an effort to relax this constraint and to employ heterogeneous components in a subsystem; which will not only ensure higher system reliabilities but also offer more design options since the sequence of components is thus given in advance. For the purposes of this study, the mixed redundancy strategy with an imperfect switching mechanism is considered. A mathematical model based on the continuous-time Markov chain (CTMC) method is developed, which allows system reliability to be calculated exactly since it is sensitive to component sequencing. As RAP belongs to the NP-hard class of optimization problems, a modified genetic algorithm (GA) is implemented to solve the proposed model. The results obtained indicate the superior performance of the proposed CTMC model in improving system reliability.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:193:y:2020:i:c:s095183201930362x
    DOI: 10.1016/j.ress.2019.106660
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S095183201930362X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2019.106660?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. 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.
    2. 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.
    3. Ji Hwan Cha & Jie Mi & Won Young Yun, 2008. "Modelling a general standby system and evaluation of its performance," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(2), pages 159-169, March.
    4. Jinsen Zhuang & Xiaohu Li, 2015. "Allocating Redundancies to k-out-of-n Systems with Independent and Heterogeneous Components," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(24), pages 5109-5119, December.
    5. 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.
    6. Safari, Jalal, 2012. "Multi-objective reliability optimization of series-parallel systems with a choice of redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 10-20.
    7. 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.
    8. Kim, Heungseob, 2018. "Maximization of system reliability with the consideration of component sequencing," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 64-72.
    9. 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.
    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. 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.
    12. Chatwattanasiri, Nida & Coit, David W. & Wattanapongsakorn, Naruemon, 2016. "System redundancy optimization with uncertain stress-based component reliability: Minimization of regret," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 73-83.
    13. Soltani, Roya & Safari, Jalal & Sadjadi, Seyed Jafar, 2015. "Robust counterpart optimization for the redundancy allocation problem in series-parallel systems with component mixing under uncertainty," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 80-88.
    14. 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.
    15. 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.
    16. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2013. "Cold-standby sequencing optimization considering mission cost," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 28-34.
    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. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Redundancy strategies assessment and optimization of k-out-of-n systems based on Markov chains and genetic algorithms," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    2. Guilani, Pardis Pourkarim & Ardakan, Mostafa Abouei & Dobani, Ehsan Ramezani, 2022. "Optimal component sequence in heterogeneous 1-out-of-N mixed RRAPs," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    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. Mohammad N. Juybari & Pardis Pourkarim Guilani & Mostafa Abouei Ardakan, 2022. "Bi-objective sequence optimization in reliability problems with a matrix-analytic approach," Annals of Operations Research, Springer, vol. 312(1), pages 275-304, May.
    5. Ardakan, Mostafa Abouei & Amini, Hanieh & Juybari, Mohammad N., 2022. "Prescheduled switching time: A new strategy for systems with standby components," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    6. Reihaneh, Mohammad & Abouei Ardakan, Mostafa & Eskandarpour, Majid, 2022. "An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1112-1125.
    7. 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).
    8. Min Gong & Hanlin Liu & Rui Peng, 2020. "Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems," Journal of Risk and Reliability, , vol. 234(5), pages 696-707, October.
    9. Peng, Yongbo & Ma, Yangying & Huang, Tianchen & De Domenico, Dario, 2021. "Reliability-based design optimization of adaptive sliding base isolation system for improving seismic performance of structures," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    10. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    11. Zhang, Jinchun & Lv, Hang & Hou, Jinxiu, 2023. "A novel general model for RAP and RRAP optimization of k-out-of-n:G systems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    12. Liu, Baoliang & Wen, Yanqing & Qiu, Qingan & Shi, Haiyan & Chen, Jianhui, 2022. "Reliability analysis for multi-state systems under K-mixed redundancy strategy considering switching failure," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    13. Sedaghat, Niloofar & Ardakan, Mostafa Abouei, 2021. "G-mixed: A new strategy for redundant components in reliability optimization problems," Reliability Engineering and System Safety, Elsevier, vol. 216(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. Mohammad N. Juybari & Pardis Pourkarim Guilani & Mostafa Abouei Ardakan, 2022. "Bi-objective sequence optimization in reliability problems with a matrix-analytic approach," Annals of Operations Research, Springer, vol. 312(1), pages 275-304, May.
    2. Guilani, Pardis Pourkarim & Ardakan, Mostafa Abouei & Dobani, Ehsan Ramezani, 2022. "Optimal component sequence in heterogeneous 1-out-of-N mixed RRAPs," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    3. 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.
    4. Meisam Sadeghi & Emad Roghanian & Hamid Shahriari & Hassan Sadeghi, 2021. "Reliability optimization for non-repairable series-parallel systems with a choice of redundancy strategies and heterogeneous components: Erlang time-to-failure distribution," Journal of Risk and Reliability, , vol. 235(3), pages 509-528, June.
    5. 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).
    6. 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).
    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. Hsieh, Tsung-Jung, 2021. "Component mixing with a cold standby strategy for the redundancy allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
    9. Ardakan, Mostafa Abouei & Talkhabi, Sajjad & Juybari, Mohammad N., 2022. "Optimal activation order vs. redundancy strategies in reliability optimization problems," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    10. 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.
    11. Golmohammadi, Elnaz & Ardakan, Mostafa Abouei, 2022. "Reliability optimization problem with the mixed strategy, degrading components, and a periodic inspection and maintenance policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    12. 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.
    13. 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.
    14. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    15. 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.
    16. Ardakan, Mostafa Abouei & Amini, Hanieh & Juybari, Mohammad N., 2022. "Prescheduled switching time: A new strategy for systems with standby components," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    17. Kim, Heungseob, 2018. "Maximization of system reliability with the consideration of component sequencing," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 64-72.
    18. 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.
    19. 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.
    20. Hsieh, Tsung-Jung, 2023. "A Q-learning guided search for developing a hybrid of mixed redundancy strategies to improve system reliability," Reliability Engineering and System Safety, Elsevier, vol. 236(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:193:y:2020:i:c:s095183201930362x. 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.