Reliability and Profit Analysis of A Standby System with Arrival Time of Server using Weibull Distribution

The semi-Markov approach is used to analyze the reliability and profit of a two unit cold standby system with possible standby failure. Upon failure the standby unit is taken under inspection for deciding about its repair or replacement. The server takes random time to arrive for any remedial activity. All the failure, repair, replacement and arrival times follow Weibull Distribution with varying scale parameters but common shape parameter. Expressions are derived for system reliability and profit measures.