HETEROGENEOUS FINITE-SOURCE RETRIAL QUEUES WITH SERVER SUBJECT TO BREAKDOWNS AND REPAIRS

摘要

In this paper, a heterogeneous finite-source homogeneous retrial queueing system with nonreliable server is studied. The novelty of the investigation is this nonreliability of the server and the heterogeneity of the sources, which makes the system rather complicated. The MOSEL tool was used to formulate and analyze the problem. The main performance measures were derived and graphically displayed. Several numerical calculations were performed to show the effect of the nonreliability of the server on the mean response times of the calls and the mean number of requests staying at the service facility.