Stochastic Modeling of Repairable Redundant System Comprising One Big Unit and Three Small Dissimilar Units

Abstract

This paper deals with the stochastic modeling of system comp rising t wo subsystems A and B in series.Subsystem A consists three active parallel units. Failure time and repair time are assumed exponential. We developed explicit exp ressions for mean time to system failure (MTSF), system availability, busy period and profit function using Kolmogorov's forward equations method and perform graphical analysis to see the behavior of failure rates and repair rates on measures of system effect iveness such MTSF, system availability and profit function.