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- Title
Exact waiting time and queue size distributions for equilibrium M / G /1 queues with Pareto service.
- Authors
Colin Ramsay
- Abstract
This paper solves the problem of finding exact formulas for the waiting time cdf and queue length distribution of first-in-first-out M/G/1 queues in equilibrium with Pareto service. The formulas derived are new and are obtained by directly inverting the relevant Pollaczek-Khinchin formula and involve single integrals of non-oscillating real valued functions along the positive real line. Tables of waiting time and queue length probabilities are provided for certain parameter values under heavy traffic conditions.
- Subjects
QUEUING theory; QUEUEING networks; LAPLACE transformation; INTEGRAL calculus; STATISTICAL correlation; PARETO analysis
- Publication
Queueing Systems, 2007, Vol 57, Issue 4, p147
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-007-9052-7