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Cost benefit analysis of four retrial systems with warm standby units and imperfect coverage

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  • Yen, Tseng-Chang
  • Wang, Kuo-Hsiung

Abstract

Retrial systems have been extensively used to model many practical problems in communication network, data center, cloud service computing center, computer network, etc. This paper deals with the cost benefit analysis of four different retrial systems with warm standby units and imperfect coverage. Each retrial system contains various amount of primary and warm standby units. Failure times and repair times of the primary and warm standby units are exponentially distributed. We assume that the coverage factor is the same for a primary-unit failure as that for a standby-unit failure and is denoted by c. We derive the explicit expressions of the mean time-to-failure and the steady-state availability for each retrial system and perform comparisons. The cost/benefit is also compared among four retrial systems with given to the distribution parameters, and to the cost of the primary and warm standby units.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:202:y:2020:i:c:s095183202030507x
    DOI: 10.1016/j.ress.2020.107006
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    Citations

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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Allocation and activation of resource constrained shock-exposed components in heterogeneous 1-out-of-n standby system," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    2. Jain, Madhu & Kumar, Pankaj & Singh, Mayank & Gupta, Ritu, 2024. "Cost optimization and reliability analysis of fault tolerant system with service interruption and reboot," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Standby mode transfer schedule minimizing downtime of 1-out-of-N system with storage," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    4. Li, Mingjia & Hu, Linmin & Peng, Rui & Bai, Zhuoxin, 2021. "Reliability modeling for repairable circular consecutive-k-out-of-n: F systems with retrial feature," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Predetermined standby mode transfers in 1-out-of-N systems with resource-constrained elements," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    6. 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).
    7. Wu, Chia-Huang & Yen, Tseng-Chang & Wang, Kuo-Hsiung, 2021. "Availability and Comparison of Four Retrial Systems with Imperfect Coverage and General Repair Times," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Co-optimizing component allocation and activation sequence in heterogeneous 1-out-of-n standby system exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    9. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    10. Alkaff, Abdullah, 2023. "Optimum warmness levels in general standby systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    11. Wang, Yan & Hu, Linmin & Yang, Li & Li, Jing, 2022. "Reliability modeling and analysis for linear consecutive-k-out-of-n: F retrial systems with two maintenance activities," Reliability Engineering and System Safety, Elsevier, vol. 226(C).

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