Impatient customers bulk arrival retrial queue with server breakdown and delayed repair Rani K. Prakash*, Srinivasan A.**, Chandrika K. Udaya*** *Department of Mathematics, ADM College for Women, Nagapattinam. Email: prakashrani_admc@yahoo.co.in **PG and Research, Department of Mathematics, Bishop Heber College, Tiruchirappali. Email: mathsrinivas@yahoo.com ***Department of Mathematics, Avinashilingam Deemed University, Coimbatore. Email: kudayachand@yahoo.com Online published on 11 June, 2014. Abstract Bulk arrival retrial queue with impatient customers is considered. The server is subject to breakdown and repair. The repair is not immediate and it starts after a random amount of time. While the server is being repaired, the customer in service can either remain in service position or leave and return. If the server is blocked upon the arrival of a batch, then the customers may leave the system without service or enter the orbit to retry for service after a random time. Upon retrial, the customer enters the service if the server is idle; otherwise goes back to the retrial orbit or renege the system. The condition for the system to be stable, analytical results for the queue length distribution and some performance measures are derived. Numerical results are presented. Top Keywords Retrial queue, impatient customer, steady state distribution, orbit size. Top |