ANALYSIS OF THE PERFORMANCE ON SINGLE SERVER BATCH SERVICE MULTIPLE WORKING VACATION QUEUING MODEL WITH COMPULSORY AND EXTENDED REPAIR

In this paper, the concept of single-server multiple-working vacations queuing model with compulsory and extended repair is analyzed. In this model, customers arrive at a service facility and form a queue to be served by a single server. The arrival follows the Poisson distribution, and the service follows the exponential distribution. Batches of customers are served under the General Bulk Service Rule. In GBSR, rather than the individual customer arriving in a queue one by one, the customers arrive in groups or batches. Thus, each batch of services contains a minimum of ′a′ units and a maximum of ′b′ units of customers. In this study, two types of repairs, that is, compulsory and extended repair, are considered. The steady-state equation, the performance of measures for the system, and particular cases of described model are derived. Finally, in the form of tables and graphs, numerical results have been analyzed.