Approximate analysis of bulk closed queueing networks

The paper presents an approximate analysis of closed queueing networks where batch service and consequently batch arrivals are permitted. Bulk queueing systems arise naturally in many computer systems and computer communicatin contexts and may have a significant effect on system performance. Such systems present difficulties in analytic modeling because they violate the one step assumption which is essential to product form queueing networks. The proposed approximation developed for multiple routing chains with load independent service rates is based on Mean Value Analysis (MVA) solution technique. Simulation is employed to evaluate the accuracy of the method.