Reliability study of series and parallel systems of heterogeneous component lifetimes under proportional odds model

TL;DR

This paper examines the reliability and aging properties of series and parallel systems with heterogeneous components modeled by the proportional odds distribution, comparing them to homogeneous systems and analyzing stochastic orderings.

Contribution

It introduces new stochastic ordering results and comparison methods for systems with heterogeneous components under the proportional odds model.

Findings

Heterogeneous systems can be reliably compared to homogeneous ones using stochastic orders.

Relative aging properties are characterized within the proportional odds framework.

The study provides insights into system reliability under different component heterogeneity conditions.

Abstract

In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional odds model. We also investigate comparisons between system with heterogeneous components and that with homogeneous components. This paper also studies relative ageing orders for two systems in the framework of components having lifetimes following the proportional odds model.