Analysis of the Exceptional Queueing System by the Use of Regenerative Processes and Analytical Methods

This paper studies a queueing system in which the distributions of the first inter-arrival time and the first service time of each busy period are allowed to deviate from the usual GI/G/1 pattern. Under conditions insuring stability, we use analytical methods together with the property that the queueing process “starts anew” probabilistically whenever an arriving customer initiates a busy period to obtain various transient and stationary results for the system.