Type: Article

On the reliability and optimal maintenance of systems under a generalized mixed δ-shock model

Journal: Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability (17480078)Year: October 2021Volume: 235Issue: Pages: 909 - 922

Bohlooli-Zefreh M.Asadi M.^aParvardeh A.^a

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1177/1748006X211002306Language: English

Abstract

This article is a study on the reliability characteristics of a system under a failure model called the generalized mixed (Formula presented.) -shock model. We assume that the system is subject to shocks according to a stochastic process. Each shock may cause some damage to the system. The system fails either the magnitude of the damage caused by a shock exceeds a threshold (Formula presented.) or the time between two consecutive shocks is less than a pre-specified threshold (Formula presented.) and simultaneously magnitude of the damage is bigger than a pre-specified critical threshold (Formula presented.) ((Formula presented.)). The survival function and other characteristics of the system lifetime are investigated. By imposing a cost function, we arrive at an optimal replacement policy for the system based on the proposed failure model. Several examples are provided under which we illustrate the theoretical results numerically and graphically. © IMechE 2021.

Author Keywords

cost functionreliability functionreplacement policy Nsystem availabilityδ-shock model

Other Keywords

Random processesStochastic systemsCritical thresholdFailure modelOptimal maintenanceOptimal replacement policyReliability characteristicsShock modelingSurvival FunctionSystem lifetimesCost functions