An Extension of the M/M/1 Queue with a First-order Integer-valued AR Source

In this paper, we propose an extension of the M/M/1 queue with a first-order integer-valued AR process. The proposed model may be more appropriate for packetized communication networks since it reflects the correlation of the input streams. Also we derive a way to obtain the queue length distri- bution of this model, and then investigate the effect of the correlation on queueing performance.