Unstable Asymptomatics for Nonstationary Queues

Nonstationary Erlang Loss Queues and Networks

ALNOWIBET, KHALID ABDULAZIZ Nonstationary Erlang Loss Queues and Networks. (Under the direction of Dr. Harry Perros) The nonstationary Erlang loss model is a queueing system consisting of a finite number of servers and no waiting room with a nonstationary arrival process or a time-dependent service rate. The Erlang loss model is commonly used to model and evaluate many communication systems. Of...

A Simple Approximation for Modeling Nonstationary Queues

Evaluation of the behavior of queues with nonsta-tionary arrival processes is of importance in several applications including communication networks. However , the analysis of nonstationary queues is in general computationally complex, and seldom produces closed form expressions. Thus approximation methods may be more appropriate. In this paper, the pointwise stationary uid ow approximation (PS...

A Poisson-Charlier approximation for nonstationary queues

In this paper, we develop a new approximation for nonstationary multiserver queues with abandonment. Our method uses the Poisson–Charlier polynomials, which are a discrete orthogonal polynomial sequence that is orthogonal with respect to the Poisson distribution. We show that by appealing to the Poisson–Charlier polynomials that we can estimate the mean, variance, and probability of delay of ou...

Nonstationary analysis of the loss queue and of queueing networks of loss queues

We present an iterative scheme based on the fixed point approximation method, for the numerical calculation of the time-dependent mean number of customers and blocking probability functions in a nonstationary queueing network with multi-rate loss queues. We first show how the proposed method can be used to analyze a single-class, multiclass, and multi-rate nonstationary loss queue. Subsequently...

Nonstationary Loss Queues via Cumulant Moment Approximations