Analysis of a stochastic clearing system with repeated attempts

Abstract

A stochastic clearing system is characterized by the existence of an output mechanism that instantaneously clears the system, i.e. removes all work currently present. In this paper we study the stochastic behavior of a single server clearing queue in wich customers cannot be continuosly in contact with the server, but can reinitiate the demand some time later. We develop a comprehensive analysis of the system including its limiting behavior, busy period, and waiting time.