Title: Comparative analysis between serial systems with cold standby units

Authors: Ibrahim Yusuf; Humairah Baballe Ilah

Addresses: Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract: This paper studied reliability assessment of three dissimilar systems configured as series-parallel systems. Three probabilistic models are discussed. Each system consists of six units. It is supposed that the failure and repair time of all components are considered to be exponentially distributed. Using linear differential-difference equations, mathematical models for the steady state availability and mean time to failure are derived, examined and compared for each system. Through numerical examples, the systems are compared and ranked to determine the optimal system.

Keywords: reliability; cost-benefit; serial; cold standby; performance.

DOI: 10.1504/IJOR.2023.132255

International Journal of Operational Research, 2023 Vol.47 No.3, pp.297 - 324

Received: 15 Apr 2020
Accepted: 20 Nov 2020
Published online: 14 Jul 2023 *

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