Work

Stochastic order inequalities for systems with standby units and parallel-series configurations

Year: 2025

Type: article

Abstract: In this paper, we first consider stochastic orderings of lifetimes of series and parallel systems with cold standby units. The strategy is to find out whether the reliability of a series or parallel system improves when standby units are installed on the components or on the subsystem. We also study stochastic orderings between parallel-series systems and series-parallel systems with independent, non-identical component lifetimes. The results are applied to a set of lifetimes of electrical devices to investigate and illustrate the ordering properties.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03401-8

Authors: Mashael A. Alshehri, M. Kayid

Institution: King Saud University

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: King Saud University