On the Pareto/M/c and Pareto/M/1/K queues

Ramon M. Rodriguez-Dagnino

doi:10.1117/12.570535

25 October 2004 On the Pareto/M/c and Pareto/M/1/K queues

Ramon M. Rodriguez-Dagnino

Author Affiliations +

Proceedings Volume 5598, Performance, Quality of Service, and Control of Next-Generation Communication Networks II; (2004) https://doi.org/10.1117/12.570535
Event: Optics East, 2004, Philadelphia, Pennsylvania, United States

Abstract

Many analytic and numerical techniques have appeared in literature to evaluate performance measures of queueing systems with heavy-tail distributed interarrival times. In this paper, we take the advantage of having a closed-form expression for the Laplace transform of Pareto probability distributions in order to have a better setting to evaluate the different performance measures of Pareto queueing systems. We consider the Pareto distributed interarrival times as a particular case of general and independent arrivals queueing systems with exponentially distributed service times, i.e. {\sc GI/M/...} queueing systems.

Citation Download Citation

Ramon M. Rodriguez-Dagnino "On the Pareto/M/c and Pareto/M/1/K queues", Proc. SPIE 5598, Performance, Quality of Service, and Control of Next-Generation Communication Networks II, (25 October 2004); https://doi.org/10.1117/12.570535

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