Priority queueing system with fixed-length packet-train arrivals

Byung-Whan Choi · D. Choi · Yen-Ming Lee · Dan Keun Sung

47 citations0/0 files storedIEE Proceedings - Communications

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Age of Information Optimization

Abstract

A discrete-time priority queueing system is studied, in which two different classes of fixed-length packet-trains arrive according to independent batch geometric streams. The packets in each packet-train arrive at the rate of one packet per slot (train arrivals), resulting in a correlated arrival stream. The service time of one packet is deterministic of one slot. The motivation for the work comes from ATM networks with diverse traffic sources and correlated packet arrival stream. Using the probability generating function method, the joint distribution of queue lengths and the waiting time distribution are obtained for each class. Numerical results are presented. Comparision is made with the case of ‘batch arrivals’, where all packets of a packet-train arrive simultaneously at the buffer.

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1989Stochastic Modeling and the Theory of Queues 1993Discrete-Time Models for Communication Systems Including ATM

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2006On priority queues with priority jumps 2004A performance analysis of a discrete-time priority queueing system with correlated arrivals 2007A Discrete-Time Priority Queue with Train Arrivals 2001Discrete-time GeoX/G/1 queue with preemptive resume priority 2003Queueing analysis of an ATM multimedia multiplexer with non-pre-emptive priority 2002Mean value and tail distribution of the message delay in statistical multiplexers with correlated train arrivals 2017Delay analysis of multiclass queues with correlated train arrivals and a hybrid priority/FIFO scheduling discipline 2011Performance Analysis of Priority Queueing Systems in Discrete Time

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