Reliability assessment for load-sharing systems with exponential components using statistical expansion as a correction

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)998-1010
Journal / PublicationApplied Stochastic Models in Business and Industry
Volume35
Issue number4
Online published19 Feb 2019
Publication statusPublished - Jul 2019

Abstract

Among recent system models, one specific type of system is generally used to model the dependence among components. Components are connected parallel in such systems as they fail one by one and are supposed to share the system work load. The model is thus referred to as the load-sharing system model. Despite the availability of extensive reliability assessment methods for different systems, load-sharing systems have not received enough attention from the scholars who have studied reliability assessment so far. Load-sharing systems are generally designed for high levels of reliability. Therefore, tests for such systems can be expensive and time consuming. Limitation on resources always leads to small test sample sizes. This increases the difficulties associated with obtaining an accurate and robust system reliability assessment result. This paper proposes a novel assessment method for a certain type of load-sharing system with components following exponential lifetime distributions. Based on the parameter estimation of the system reliability model, we introduce the Winterbottom-Cornish-Fisher asymptotic expansion method for implementing a correction of normal approximation. We demonstrate the accuracy of our method through a series of examples and simulation studies.

Research Area(s)

  • exponential distribution, load-sharing system, system reliability assessment, WCF asymptotic expansion