Abstract

In this paper, we studied a system consisting of two subsystems A and B. Subsystem A has two units A1 and A2 in warm standby, subsystem B is a single unit. Failure and repair time are assumed exponential. We developed the explicit expressions for mean time to system failure (MTSF), steady-state availability, busy period and profit function using Kolmogorov’s forward equations method. Special cases are studied to determine the impact of various system parameters on MTSF, steady-state availability and profit function. Mathematics Subject Classification: 90B25

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