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Reliability and Sensitivity Analysis of a Repairable System with Warranty and Administrative Delay in Repair

Author

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  • Mohamed S. El-Sherbeny
  • Zienab M. Hussien
  • Niansheng Tang

Abstract

The purpose of this study is to analyze the behavior of some industrial systems in light of the cost-free warranty policy. According to this policy, we assume that the repairman is not always present in the system. When the active unit fails, the repairman will be called to visit the system; however, administrative procedures may delay the visit for some time. Once on the system, the repairman first inspects whether the fault is caused by the user or not and whether it is repairable or not. According to product warranty laws, the repairman carries out the repair or replacement of the faulty unit. The failure time, administrative delay time, inspection time, and repair time are assumed taken as a negative exponential distribution. The system model is analyzed by the supplementary variable technique and Laplace transform, as various performance metrics of system efficiency have been obtained. The sensitivity and relative sensitivity analyses for the system parameters have also been performed. Finally, an illustrative example is taken to illustrate the efficiency of the system.

Suggested Citation

  • Mohamed S. El-Sherbeny & Zienab M. Hussien & Niansheng Tang, 2021. "Reliability and Sensitivity Analysis of a Repairable System with Warranty and Administrative Delay in Repair," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, June.
    • Handle: RePEc:hin:jjmath:9424215
    DOI: 10.1155/2021/9424215
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    Cited by:

    1. Monika & Garima Chopra, 2024. "Reliability assessment of an industrial system considering failures in its raw material inventory," 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. 15(6), pages 2704-2714, June.

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