Title: Availability assessment of repairable Markov systems with an uncertain inspection period incorporating (M/M/s): (∞/FCFS) queue

Authors: Amisha Khati; Neelam Chantola; S.B. Singh

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India

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.

Keywords: availability; Markov repairable system; uncertainty; critical repair time; (M/M/s):(∞/FCFS) queue.

DOI: 10.1504/IJRS.2022.128612

International Journal of Reliability and Safety, 2022 Vol.16 No.1/2, pp.74 - 86

Received: 09 Mar 2022
Received in revised form: 06 Aug 2022
Accepted: 15 Aug 2022
Published online: 30 Jan 2023 *