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2000 On the Behavior of LIFO Preemptive Resume Queues in Heavy Traffic
Vlada Limic
Author Affiliations +
Electron. Commun. Probab. 5: 13-27 (2000). DOI: 10.1214/ECP.v5-1014

Abstract

This paper studies heavy traffic behavior of a G/G/1 last-in-first-out (LIFO) preemptive resume queue, by extending the techniques developed in Limic (1999). The queue length process exhibits a perhaps unexpected heavy traffic behavior. The diffusion limit depends on the type of arrivals (and services) in a fairly intricate way, related to the Wiener-Hopf factorization for random walks.

Citation

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Vlada Limic. "On the Behavior of LIFO Preemptive Resume Queues in Heavy Traffic." Electron. Commun. Probab. 5 13 - 27, 2000. https://doi.org/10.1214/ECP.v5-1014

Information

Accepted: 26 November 1999; Published: 2000
First available in Project Euclid: 2 March 2016

zbMATH: 0955.60097
MathSciNet: MR1736721
Digital Object Identifier: 10.1214/ECP.v5-1014

Subjects:
Primary: 60K25
Secondary: 60J80

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