Retrial Queuing System with Starting Failure, Single Vacation and Orbital Search
This paper is concerned with the analysis of a single server retrial queue with vacation and orbital search. The server is subject to starting failure and repair. At the completion epoch of each service, the server may take a single vacation. After vacation completion, the server searches for the customers in the orbit or remains idle. Retrial times, service times and vacation times are assumed to be arbitrarily distributed. Various performance measures are derived and numerical results are presented. Vacation models had been the subject of interest to queue theorists of deep study in recent years because of their applicability and theoretical structures in real life congestion situations such as manufacturing and production, computer and communication systems, service and systems, etc.