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

Purpose: The 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/approach: The semi-Markov model under the regenerative method is used to construct the mathematical model for the system. Findings: The 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/value: Rarely papers in literature treated the topic of the discrete-time semi-Markov process using a regenerative point technique.