Analysis of discrete-time semi-Markov model for a two-unit warm standby system subject to degradation

Abstract

PurposeThe present paper analyzed a model consisting of one unit with a warm standby unit where the main unit has three states: up, degraded and down.Design/methodology/approachThe semi-Markov model under the regenerative method is used to construct the mathematical model for the system.FindingsThe effectiveness measures of the system are discussed such as availability, reliability, steady-state availability and mean time to system failure. The life and repair times of the system units are assumed to be discrete follow discrete Weibull distribution. Also, the parameters of the discrete Weibull distribution are assumed to be fuzzy with bell-shaped membership function. An application is introduced to show the results obtained for the system and the profit of the presented model.Originality/valueRarely papers in literature treated the topic of the discrete-time semi-Markov process using a regenerative point technique.

A novel condition‐based maintenance policy considering imperfect switching for warm standby systems

“…The widespread applicability of warm standby technology has led to significant development in fields such as information technology, system management, and intelligent chemical plants. In previous literature, many scholars have studied the reliability and availability of warm standby systems 14,15 . Ma et al 16 .…”

“…presented an iterative method to assess the lifetime of a standby system with deteriorating standby components. Temraz et al 18 . constructed a warm standby model that includes one operating component and one standby component, considering three states for the online components.…”

“…studied the reliability and availability of warm standby systems. 14,15 Ma et al 16 established a two-component warm standby cooling system and evaluated its reliability based on temperature monitoring information. Zhang et al 17 presented an iterative method to assess the lifetime of a standby system with deteriorating standby components.…”

“…Zhang et al 17 presented an iterative method to assess the lifetime of a standby system with deteriorating standby components. Temraz et al 18 constructed a warm standby model that includes one operating component and one standby component, considering three states for the online components. They employed regenerative processes and semi-Markov theory to construct the system model, derive its availability and reliability metrics, and solve for the optimal model profit.…”