Performance Optimization of Mean Response Time in a Tandem Router Network with Batch Arrivals

In this paper we consider an M/G/1 queue-based analytical model. The end-to-end performance of a tandem wireless router network with batch arrivals is optimized. The mean of the transmission delay (or ´response time´) is minimized subject to an upper limit on the rate of losses and finite capacity queueing and recovery buffers. The optimal ratio of arrival-buffer size to recovery-buffer size is determined, which is a critical quantity, affecting both loss rate and transmission time. The impact of the retransmission probability is investigated: too high a value leads to congestion and so higher response times, too low and packets are lost forever, yielding a different penalty