Bulk arrival queue with unreliable server, balking and modified Bernoulli vacation

In this paper, we concentrate on the analysis of the breakdown of an unreliable server with batch arrival retrial queue and non -mandatory re -service with modified Bernoulli vacation. The behavior of impatient customers is considered for this analysis. The basic presumption of this paper is that there is a delay following a breakdown before the repair begins. After receiving the service, a customer gets two different possibilities: those who can depart the system or, in case of some customers, they can retry the service. Using the Supplementary Variable Technique, the steady state has been derived and its results are compared with previous findings.