Priority queues with Gaussian input: a path-space approach to loss and delay asymptotics

Many-Sources Delay Asymptotics with Applications to Priority Queues

Sample-path Large Deviations for Tandem and Priority Queues with Gaussian Inputs

This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful but often incomplete setting, we examine more advanced models. We focus on a (two-node) tandem queue, fed by a large number of Gaussian inputs. With service rates and buffer sizes at both nodes scaled appropriately, Schilder’s sample-path large-deviations theorem can be applied to calculate the a...

Experimental Study of High Performance Priority Queues

The priority queue is a very important and widely used data structure in computer science, with a variety of applications including Dijkstra’s Single Source Shortest Path algorithm on sparse graph types. This study presents the experimental results of a variety of priority queues. The focus of the experiments is to measure the speed and performance of highly specialized priority queues in out-o...

Gaussian tandem queues with an application to dimensioning of switch fabric interfaces

Tandem systems are seen in many places and at various hierarchical levels in highspeed communication networks, from router architectures to protocol stacks. If the traffic fed into the system is generated by independent or weakly dependent sources and the smallest relevant time scale is not too fine, the central limit theorem suggests that the input traffic is (close to) Gaussian. This paper co...

MODELLING AND ANALYSIS OF A DISCRETE-TIME PRIORITY QUEUING COMPUTER NETWORK WITH PRIORITY JUMPS USING PROBABILITY GENERATING FUNCTIONS

Priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. The discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. On the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained....