Transient analysis of an unreliable system with working vacation and threshold recovery

Abstract

The study focuses on the analysis of the F-policy queuing system with a single working vacation. The server is unreliable and can experience breakdowns while serving customers. The repair process follows the concept of threshold recovery for the server failed. Transient analysis of the system is performed to investigate the effect of changes in the system parameters using the numerical approach based on the fourth-order Runge - Kutta method. The cost function is designed to analyze the system’s cost.