Batch arrival retrial G-queue with orbital search and non-persistent customers

An M-X/G/1 retrial G-queue with orbital search and unreliable server is investigated in this paper. Arrivals of positive customers form a compound Poisson process, and one of the positive customers receives service immediately if the server is free upon their arrivals and others may enter a retrial orbit and try their luck after a random time interval. Arrival of negative customer removes the positive customer being in service from the system and causes the server breakdown. After a completion of a service or a repair, the server searches for the customers in the orbit or remains idle. By using the supplementary variables method, we obtain the steady-state solutions for the system measures. The effects of various parameters on the system performance are analyzed numerically.