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Comparative cost-benefit analysis of four retrial systems with preventive maintenance and unreliable service station

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  • Wang, Kuo-Hsiung
  • Wu, Chia-Huang
  • Yen, Tseng-Chang

Abstract

In various industrial problems, repairable models have been widely employed to derive performance measures. The current investigation compares four unreliable retrial systems with preventive maintenance. The objective is to offer a proper analysis procedure helpful for managers to determine the best configuration resulting in a better performance. A potential application in which the proposed model can be applied is provided. For each system, the state-transition diagram and associated differential-difference equations are presented. Using the Laplace-Stieltjes transform, we derive the explicit formulas for the mean time-to-failure and the steady-state availability, commonly considered critical criteria. Numerical results are tabulated and displayed graphically, and then a comparative cost-benefit analysis is performed. Finally, observed insights into decision-making are provided.

Suggested Citation

  • Wang, Kuo-Hsiung & Wu, Chia-Huang & Yen, Tseng-Chang, 2022. "Comparative cost-benefit analysis of four retrial systems with preventive maintenance and unreliable service station," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
  • Handle: RePEc:eee:reensy:v:221:y:2022:i:c:s0951832022000217
    DOI: 10.1016/j.ress.2022.108342
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    References listed on IDEAS

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    1. Muthukrishnan Senthil Kumar & Aresh Dadlani & Kiseon Kim, 2020. "Performance analysis of an unreliable M/G/1 retrial queue with two-way communication," Operational Research, Springer, vol. 20(4), pages 2267-2280, December.
    2. Kumar, Pankaj & Jain, Madhu, 2020. "Reliability analysis of a multi-component machining system with service interruption, imperfect coverage, and reboot," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    3. Anatoly Nazarov & János Sztrik & Anna Kvach & Tamás Bérczes, 2019. "Asymptotic analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs," Annals of Operations Research, Springer, vol. 277(2), pages 213-229, June.
    4. Wu‐Lin Chen, 2018. "System reliability analysis of retrial machine repair systems with warm standbys and a single server of working breakdown and recovery policy," Systems Engineering, John Wiley & Sons, vol. 21(1), pages 59-69, January.
    5. Gupta, Diwakar & Gunalay, Yavuz & Srinivasan, Mandyam M., 2001. "The relationship between preventive maintenance and manufacturing system performance," European Journal of Operational Research, Elsevier, vol. 132(1), pages 146-162, July.
    6. Yen, Tseng-Chang & Wang, Kuo-Hsiung, 2020. "Cost benefit analysis of four retrial systems with warm standby units and imperfect coverage," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    7. Samira Taleb & Amar Aissani, 2016. "Preventive maintenance in an unreliable M/G/1 retrial queue with persistent and impatient customers," Annals of Operations Research, Springer, vol. 247(1), pages 291-317, December.
    8. Awi Federgruen & Kut C. So, 1990. "Optimal Maintenance Policies for Single-Server Queueing Systems Subject to Breakdowns," Operations Research, INFORMS, vol. 38(2), pages 330-343, April.
    9. Muthukrishnan Senthil Kumar & Aresh Dadlani & Kiseon Kim, 2020. "Correction to: Performance analysis of an unreliable M/G/1 retrial queue with two-way communication," Operational Research, Springer, vol. 20(4), pages 2281-2281, December.
    10. Saidur, R. & Rahim, N.A. & Hasanuzzaman, M., 2010. "A review on compressed-air energy use and energy savings," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(4), pages 1135-1153, May.
    11. Jeongsim Kim & Bara Kim, 2016. "A survey of retrial queueing systems," Annals of Operations Research, Springer, vol. 247(1), pages 3-36, December.
    12. Wang, Naichao & Hu, Jiawen & Ma, Lin & Xiao, Boping & Liao, Haitao, 2020. "Availability Analysis and Preventive Maintenance Planning for Systems with General Time Distributions," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    13. Anatoly Nazarov & János Sztrik & Anna Kvach & Ádám Tóth, 2020. "Asymptotic sojourn time analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs," Annals of Operations Research, Springer, vol. 288(1), pages 417-434, May.
    14. Zhou, Wenhui & Zheng, Zhibin & Xie, Wei, 2017. "A control-chart-based queueing approach for service facility maintenance with energy-delay tradeoff," European Journal of Operational Research, Elsevier, vol. 261(2), pages 613-625.
    15. 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).
    16. Yang, Dong-Yuh & Tsao, Chih-Lung, 2019. "Reliability and availability analysis of standby systems with working vacations and retrial of failed components," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 46-55.
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