IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v201y2010i3p821-827.html
   My bibliography  Save this article

Reliability analysis of a two-unit general parallel system with (n-2) warm standbys

Author

Listed:
  • Papageorgiou, Effie
  • Kokolakis, George

Abstract

A parallel (2,n-2)-system is investigated here where two units start their operation simultaneously and any one of them is replaced instantaneously upon its failure by one of the (n-2) warm standbys. We assume availability of n non-identical, non-repairable units. The unit-lifetimes in full operational mode and in partial operational mode have general distribution functions Gi and respectively. The system reliability is evaluated by recursive relations.

Suggested Citation

  • Papageorgiou, Effie & Kokolakis, George, 2010. "Reliability analysis of a two-unit general parallel system with (n-2) warm standbys," European Journal of Operational Research, Elsevier, vol. 201(3), pages 821-827, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:3:p:821-827
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(09)00257-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Papageorgiou, Effie & Kokolakis, George, 2007. "A two-unit general parallel system with (n - 2) cold standbys--Analytic and simulation approach," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1016-1032, January.
    2. Lam, Yeh, 2007. "A geometric process maintenance model with preventive repair," European Journal of Operational Research, Elsevier, vol. 182(2), pages 806-819, October.
    3. Zhang, Yuan Lin & Wang, Guan Jun, 2007. "A deteriorating cold standby repairable system with priority in use," European Journal of Operational Research, Elsevier, vol. 183(1), pages 278-295, November.
    4. S. Srinivasan & R. Subramanian, 2006. "Reliability analysis of a three unit warm standby redundant system with repair," Annals of Operations Research, Springer, vol. 143(1), pages 227-235, March.
    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. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Cold vs. hot standby mission operation cost minimization for 1-out-of-N systems," European Journal of Operational Research, Elsevier, vol. 234(1), pages 155-162.
    2. Navarro, Jorge & Rychlik, Tomasz, 2010. "Comparisons and bounds for expected lifetimes of reliability systems," European Journal of Operational Research, Elsevier, vol. 207(1), pages 309-317, November.
    3. Levitin, Gregory & Xing, Liudong & Haim, Hanoch Ben & Dai, Yuanshun, 2019. "Optimal structure of series system with 1-out-of-n warm standby subsystems performing operation and rescue functions," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 523-531.
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Co-optimization of state dependent loading and mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 151-158.
    5. Kundu, Pradip & Hazra, Nil Kamal & Nanda, Asok K., 2016. "Reliability study of a coherent system with single general standby component," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 25-33.
    6. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Heterogeneous standby systems with shocks-driven preventive replacements," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1189-1197.
    7. Levitin, Gregory & Xing, Liudong & Luo, Liang, 2019. "Influence of failure propagation on mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 29-38.
    8. Gregory Levitin & Liudong Xing & Yuanshun Dai, 2020. "Mission Abort Policy for Systems with Observable States of Standby Components," Risk Analysis, John Wiley & Sons, vol. 40(10), pages 1900-1912, October.
    9. Levitin, Gregory & Xing, Liudong & Peng, Sun & Dai, Yuanshun, 2015. "Optimal choice of standby modes in 1-out-of-N system with respect to mission reliability and cost," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 587-596.
    10. Zhong, Chongquan & Jin, Haibo, 2014. "A novel optimal preventive maintenance policy for a cold standby system based on semi-Markov theory," European Journal of Operational Research, Elsevier, vol. 232(2), pages 405-411.
    11. Ruiz-Castro, Juan Eloy & Fernández-Villodre, Gemma, 2012. "A complex discrete warm standby system with loss of units," European Journal of Operational Research, Elsevier, vol. 218(2), pages 456-469.
    12. Levitin, Gregory & Finkelstein, Maxim, 2017. "Optimal backup in heterogeneous standby systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 336-344.
    13. Wells, Charles E., 2014. "Reliability analysis of a single warm-standby system subject to repairable and nonrepairable failures," European Journal of Operational Research, Elsevier, vol. 235(1), pages 180-186.
    14. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2019. "Reliability-based measures and prognostic analysis of a K-out-of-N system in a random environment," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1120-1131.
    15. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Optimizing availability of heterogeneous standby systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 137-145.

    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. Eryilmaz, Serkan, 2012. "On the mean residual life of a k-out-of-n:G system with a single cold standby component," European Journal of Operational Research, Elsevier, vol. 222(2), pages 273-277.
    2. Guan Jun Wang & Yuan Lin Zhang, 2016. "Optimal replacement policy for a two-dissimilar-component cold standby system with different repair actions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1021-1031, April.
    3. Hanagal David D. & Kanade Rupali A., 2010. "Optimal Replacement Policy Based on the Number of Down Times," Stochastics and Quality Control, De Gruyter, vol. 25(1), pages 3-12, January.
    4. An, Youjun & Chen, Xiaohui & Hu, Jiawen & Zhang, Lin & Li, Yinghe & Jiang, Junwei, 2022. "Joint optimization of preventive maintenance and production rescheduling with new machine insertion and processing speed selection," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    5. Guo, Chiming & Wang, Wenbin & Guo, Bo & Si, Xiaosheng, 2013. "A maintenance optimization model for mission-oriented systems based on Wiener degradation," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 183-194.
    6. R. K. Bhardwaj & Komaldeep Kaur & S. C. Malik, 2017. "Reliability indices of a redundant system with standby failure and arbitrary distribution for repair and replacement times," 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. 8(2), pages 423-431, June.
    7. Yu, Miaomiao & Tang, Yinghui & Liu, Liping & Cheng, Jiang, 2013. "A phase-type geometric process repair model with spare device procurement and repairman’s multiple vacations," European Journal of Operational Research, Elsevier, vol. 225(2), pages 310-323.
    8. Sarada, Y. & Shenbagam, R., 2021. "Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    9. 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.
    10. Vahid Andalib & Jyotirmoy Sarkar, 2022. "A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    11. Yuan, Li & Xu, Jian, 2011. "An optimal replacement policy for a repairable system based on its repairman having vacations," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 868-875.
    12. Junyuan Wang & Jimin Ye, 2022. "A new repair model and its optimization for cold standby system," Operational Research, Springer, vol. 22(1), pages 105-122, March.
    13. 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).
    14. Y Takemoto & I Arizono, 2016. "A study of MTTF in two-unit standby redundant system with priority under limited information about failure and repair times," Journal of Risk and Reliability, , vol. 230(1), pages 67-74, February.
    15. Arnold, Richard & Chukova, Stefanka & Hayakawa, Yu & Marshall, Sarah, 2020. "Geometric-Like Processes: An Overview and Some Reliability Applications," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    16. Rivera-Gómez, Héctor & Gharbi, Ali & Kenné, Jean Pierre, 2013. "Joint production and major maintenance planning policy of a manufacturing system with deteriorating quality," International Journal of Production Economics, Elsevier, vol. 146(2), pages 575-587.
    17. Yang, Dong-Yuh & Wu, Chia-Huang, 2021. "Evaluation of the availability and reliability of a standby repairable system incorporating imperfect switchovers and working breakdowns," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    18. Chen, Yiming & Liu, Yu & Jiang, Tao, 2021. "Optimal maintenance strategy for multi-state systems with single maintenance capacity and arbitrarily distributed maintenance time," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    19. Lirong Cui & Shijia Du & Aofu Zhang, 2014. "Reliability measures for two-part partition of states for aggregated Markov repairable systems," Annals of Operations Research, Springer, vol. 212(1), pages 93-114, January.
    20. Çekyay, B. & Özekici, S., 2010. "Mean time to failure and availability of semi-Markov missions with maximal repair," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1442-1454, December.

    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:ejores:v:201:y:2010:i:3:p:821-827. 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: http://www.elsevier.com/locate/eor .

    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.