Availability assessment of repairable Markov systems with an uncertain inspection period incorporating (M/M/s): (∞/FCFS) queue
by Amisha Khati; Neelam Chantola; S.B. Singh
International Journal of Reliability and Safety (IJRS), Vol. 16, No. 1/2, 2022

Abstract: In this research, a novel model for a Markov repairable system has been proposed wherein there is an uncertainty in the inspection period, i.e., the inspection period is taken in such a way that whenever a fault is identified throughout the inspection, the inspection period is shortened for the next inspection. Further, if the time taken to repair the system failure is less than the pre-determined critical value, the failed elements of the system are repaired. And, if the system takes longer than the critical time to fully recover, it is considered completely failed and then the failed system is replaced with a new one. The system is repaired under the (M/M/s):(∞/FCFS) queue model, including working vacations. We have evaluated the proposed model's availability as a measure of reliability. For clarification, the results are supported by a numerical example.

Online publication date: Mon, 30-Jan-2023

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