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A bi-objective inspection policy for a repairable engineering system with failure free warranty

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Abstract

In this article, we have proposed a bi-objective inspection policy for a repairable engineering system with failure free warranty. Here, we have considered a single repair facility which is not with the system and takes a little time to arrive at the system whenever required. In the first phase of inspection policy, the repairman inspects the machine/system after its failure to examine whether the machine failed due to unauthorized modifications or not. If it fails due to unauthorized modifications, system warranty will get terminated automatically and the consumers/users will have to pay for the repairs. Otherwise all the repairs are free of cost to the consumers. While in the second phase of inspection policy, the failed machine is inspected by the repairman beyond warranty (BW) to check the possibility of its repair. By using the Markov process, some important performance measures such as reliability of the system, availability, profit function, busy and waiting times of the repairman have been derived. Also, the impact of different parameters on reliability and profit function through an illustrative example has been analyzed. Finally, a comparative study has been carried out to support the claim that the proposed bi-objective inspection policy is more profitable than a single objective inspection policy.

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There is no funding agency. However authors are thankful to their University/Institution for motivation for this research work.

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Authors and Affiliations

  1. Department of Statistics, Goswami Ganesh Dutta Sanatan Dharma College, Chandigarh, India

    Ram Niwas

  2. Department of Statistics and Operational Research, Kurukshetra University, Kurukshetra, India

    M. S. Kadyan

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  1. Ram Niwas
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  2. M. S. Kadyan
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Correspondence to Ram Niwas.

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Niwas, R., Kadyan, M.S. A bi-objective inspection policy for a repairable engineering system with failure free warranty. Int J Syst Assur Eng Manag 13, 881–891 (2022). https://doi.org/10.1007/s13198-021-01354-x

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