Title: Stochastic analysis of a non-identical repairable system with (n + 1) units subject to MRT of type-I unit

Authors: S. Kadyan; S.C. Malik

Addresses: Department of Statistics, Maharshi Dayanand University, Rohtak, Haryana, India ' Department of Statistics, Maharshi Dayanand University, Rohtak, Haryana, India

Abstract: Here, a repairable system of (n + 1) non-identical units is analysed stochastically by classifying the units as type-I and type-II units subject to maximum repair time (MRT) of type-I unit. In the system, there is one type-I unit and 'n' type-II units in cold standby. Type-I unit has been considered as more efficient than type-II units and hence priority for repair and operation is given to it. Type-II units become operative simultaneously on the failure of type-I unit. A single server handles repair and replacement activities of both types of units. If type-I unit is not repaired in a pre-specified time then it undergoes for replacement. Some significant reliability measures including MTSF, availability, expected number of visits and busy period analysis of the server have been obtained. The effect of number of type-II units on these measures is studied. Performance of the developed system is compared with a system without MRT. An application of this work can be envisioned in the power supply system where the transformer is subject to MRT.

Keywords: stochastic analysis; repairable system; non-identical units; maximum repair time; MRT; simultaneously working units; reliability.

DOI: 10.1504/IJOR.2025.144338

International Journal of Operational Research, 2025 Vol.52 No.2, pp.211 - 229

Received: 03 Sep 2021
Accepted: 07 Jul 2022
Published online: 07 Feb 2025 *

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