A study on reliability of a k-out-of-n system equipped with a cold standby component based on copula

2021/07/16 by Achintya Roy, Nitin Gupta, Roy, Achintya +1
Decision Sciences · Engineering · Mathematics · #FOS: Mathematics #Probabilistic and Robust Engineering Design #Reliability and Maintenance Optimization #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2107.08023

openalex publication_date 2021/07/16 · openalex created_date 2021/08/02 · openalex updated_date 2026/07/28

Abstract

A k-out-of-n system consisting of n exchangeable components equipped with a single cold standby component is considered. All the components including standby are assumed to be dependent and this dependence is modeled by a copula function. An exact expression for the reliability function of the considered system has been obtained. We also compute three different mean residual life functions of the system. Finally, some numerical examples are provided to illustrate the theoretical results. Our studies subsume some of the initial studies in the literature.

Related

• Reliability properties of k-out-of-n systems with one cold standby unit
• Reliability Analysis of a 1-out-of-n Cold Standby Redundant System under the Generalized Lindley Distribution
• Reliability analysis of a K-out-of-N system with random rate of repair
• Use of copula functions in error assessment due to deviation from dependence assumption
• Allocations of Cold Standbys to Series and Parallel Systems with Dependent Components