Mathematical Problems in Engineering
Volume 3 (1998), Issue 6, Pages 539-554
doi:10.1155/S1024123X97000677
Abstract
We consider a bulk arrival, bulk service queueing system. Customers are served in batches of r
units if the queue length is not less than r. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds level r. We assume that unserved customers may get impatient and leave the system. An ergodicity condition and steady-state probabilities are derived. Various system characteristics are also computed.