Delay analysis of multiclass queues with correlated train arrivals and a hybrid priority/FIFO scheduling discipline

A Taylor series expansions approach to queues with train arrivals

We assess the performance of a discrete-time queueing system with train arrivals. Arrivals at the queue stem from a number of active sessions, each generating a packet in a slot with fixed probability q. Since an exact analysis is not feasible for q 6= 1, we rely on Taylor-series expansions around q = 0 of the joint probability generating functions of the number of active sessions and the queue...

Mean value and tail distribution of the message delay in statistical multiplexers with correlated train arrivals

In this paper, we study a statistical multiplexer which is modelled as a discrete-time singleserver infinite-capacity queueing system. This multiplexer is fed by messages generated by an unbounded population of users. Each message consists of a generally distributed number of fixed-length packets. We assume the packet arrival process to exhibit simultaneously the following two types of correlat...

Analysis of Queues with Bat h Arrivals

The steady state distribution of quasi-birth-death pro esses an be eÆ iently obtained by matrix-geometri (MG) methods. Sin e a number of tele ommuni ation problems are modelled by pro esses with bat h arrivals, the extension of MG methods for these pro esses has pra ti al importan e. This paper presents an extension of MG methods whi h is e e tive for the analysis of quasi-birth-death pro esses...

Numerical analysis of queues with batch arrivals

Analysis of Discrete-time Multiserver Queues with Constant Service times and Correlated Arrivals

We investigate the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive at the system according to a two-state correlated arrival process. The service times of the packets are assumed to be constant, equal to multiple slots. The behavior of the system is analyzed by means of an analytical technique based on probability generating functions (pgf’s). Exp...