A batch arrival retrial queueing system with two phases of service and service interruption

摘要

This paper deals with the steady-state behavior of an M~x/G/1 retrial queue with an additional second phase of optional service and service interruption where breakdowns occur randomly at any instant while the server is serving the customers. Further, the concept of delay time is also introduced in the model. This model generalizes both the classical M~x/G/1 retrial queue with service interruption as well as the M~x/G/1 queue with second optional service and service interruption. We carry out an extensive analysis of this model.