Virtual input queued packet switches with non-uniform arrivals and bursty service

This paper presents a performance analysis of output queued packet switch architectures employing virtual input queueing (VIQ), whereby arrival rates are non-uniformly distributed between the sources and the service intervals are bursty. In particular, we study the case of a two-state Markov-modulated service discipline, reflecting on several pragmatic scenarios such as noisy packet radio networks. We show that by exploiting an extended Markov-modulated service process and the Geo/GI/1 queueing model, closed-form expressions for the mean queueing latencies can be obtained. The methodology established in this paper can be extended to derive additional performance metrics and expected behavior of more complex packet switching architectures.