Title: Cost analysis of N-policy vacation machine repair problem with optional repair

Authors: Ritu Gupta; Divya Agarwal

Addresses: Amity Institute of Applied Science, Amity University, Sector 125, Noida-201303, India ' Amity Institute of Applied Science, Amity University, Sector 125, Noida-201303, India

Abstract: In this paper, we deal with the N-policy machine repairable system with warm spares and two repairmen under optional repair. The first repairman is always available to serve the failed units in the system while the second repairman leaves for a vacation of random length when the number of failed units is less than N. The second repairmen firstly performs essential repair to all failed units and then may provide second optional repair to some failed units which demand for it. We construct the system state governing equations and the system performance measures under transient condition which are examined by using a numerical approach based on Runge-Kutta method of the fourth order. Further, the sensitivity and cost analysis are facilitated to demonstrate the validity of the model by taking a numerical illustration. The effect of different parameters on system performance indices is demonstrated graphically.

Keywords: machine repair problem; warm spares; N-policy; first essential repair; FER; second optional repair; SOR; reliability; vacation; cost function; Markov process; Runge-Kutta method.

DOI: 10.1504/IJMOR.2021.116964

International Journal of Mathematics in Operational Research, 2021 Vol.19 No.3, pp.354 - 374

Received: 12 Feb 2020
Accepted: 20 May 2020
Published online: 10 Aug 2021 *

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