In this paper, we propose the use of a control theoretical approach for a fast and robust fair share computation for a class of fair queueing algorithms based on the Scalable Core (SCORE)/Dynamic Packet State (DPS) architecture. Our proposed approach is generic and can be applied to other SCORE/DPS fair queueing algorithms with little modifications. For purpose of illustration, we applied the L...

Instability in packet-switching networks is normally associated with overload conditions, since queueing network models show that, in simple configurations, only overload generates instability. However, some results showing that instability can happen also in underloaded queueing networks appeared in the recent literature. Underload instabilities can be produced by complex scheduling algorithms...

This paper analyzes a communication network, used by customers with heterogeneous service requirements. We investigate priority queueing as a way to establish service differentiation. It is assumed that there is an infinite population of customers, who join the network as long as their utility (which is a function of the queueing delay) is larger than the price of the service. We focus on the s...

In this paper we establish a relation between the spread of infectious diseases and the dynamics of so called M/G/1 queues with processor sharing. The relation between the spread of epidemics and branching processes, which is well known in epidemiology, and the relation between M/G/1 queues and birth death processes, which is well known in queueing theory, will be combined to provide a framewor...

This paper presents an application of queueing model for controlling queues in clustered computer networks by incorporating multiple servers in the system using multi-server queueing algorithm for the simulation. It has been shown through theory and experiment that as arrival rate increases in clustered computer networks, single server becomes inefficient and prone to instability, irrespective ...

We synergistically apply queueing theory, integer programming, and stochastic simulation to determine an optimal staffing policy for a repair call handling center. A stationary Markovian queueing model is employed to determine minimal staffing levels for a sequence of time intervals with varying call volumes and mean handling times. These staffing requirements populate an integer programmodel f...

A deterministic approach has so far been used in the modelling of the intake, metabolism, and elimination of ethanol. However, a well-structured deterministic model needs to consider numerous factors, e.g. anatomical structure, metabolic rate, perfusion rates, non-steady-state and steady-state. In the present study, a stochastic approach was used for modelling the study of ethanol because there...

As part of the 50th anniversary of the Canadian Operational Research Society, we reviewed queueing applications by Canadian researchers and practitioners. We concentrated on finding real applications, but also considered theoretical contributions to applied areas that have been developed by the authors based on real applications. There were a surprising number of applications, many not well doc...