Stochastic analysis of a two unit warm standby system with two phase repair and geometric distributions of the events

Abstract

The paper deals with stochastic model of a two identical unit warm standby system with two modes- normal (N) and total failure (F) of a unit. The repair of a failed unit is completed in two phases. Two repairmen are always available with the system- Skilled and ordinary for the purpose of phase-1 and phase-2 repairs respectively. The failure and repair times of a unit are taken as independent random variables of discrete nature having geometric distributions with different parameters.