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Stability of Multiclass Queueing Networks Under FIFO Service Discipline

Authors:

Hanqin ZhangAuthors Info & Claims

Mathematics of Operations Research, Volume 22, Issue 3

Pages 691 - 725

Published: 01 August 1997 Publication History

Abstract

In this paper, we first formally identify a FIFO fluid network that corresponds to the queueing network under a first-in first-out FIFO service discipline, thus complementing the result of Dai Dai, J. G. 1995a. On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab.5 49--77. for the use of the fluid model for the stability of a multiclass queueing network under a FIFO service discipline. Then we establish two sufficient conditions for the stability of a multiclass FIFO queueing network. The results extend the previous work on the single class network, the single station network and a network studied by Rybko and Stolyar Rybko, A. N., A. L. Stolyar. 1992. Ergodicity of stochastic processes describing the operations of open queueing networks. Problemy Peredachi Informatsii28 2--26. Finally we establish a fluid approximation theorem for the queueing network under FIFO service discipline.

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Digital Library

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Whitt, W. (1993). Large fluctuations in a deterministic multiclass network of queues. Management Sci. 39, 81020- 1028.

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Winograd, G. I., P. R. Kumar (1995). The FCFS service discipline: stable network topologies, bounds on traffic burstiness and delay, and control by regulators. Math. Comput. Modelling: Special Issue on Recent Advances in Discrete Event Systems (to appear).

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cover image Mathematics of Operations Research

Mathematics of Operations Research Volume 22, Issue 3

August 1997

224 pages

ISSN:0364-765X

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INFORMS

Linthicum, MD, United States

Publication History

Published: 01 August 1997

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Cited By

Hasenbein J(2019)Stability of Fluid Networks with Proportional RoutingQueueing Systems: Theory and Applications10.1023/A:101095970648638:3(327-354)Online publication date: 1-Jun-2019
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Tezcan T(2018)Stability analysis of N-model systems under a static priority ruleQueueing Systems: Theory and Applications10.1007/s11134-012-9304-z73:3(235-259)Online publication date: 29-Dec-2018
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Schönlein MWirth F(2018)On converse Lyapunov theorems for fluid network modelsQueueing Systems: Theory and Applications10.1007/s11134-012-9279-970:4(339-367)Online publication date: 29-Dec-2018
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Dai JDai W(1999)A heavy traffic limit theorem for a class of open queueing networks with finite buffersQueueing Systems: Theory and Applications10.1023/A:101917880239132:1/3(5-40)Online publication date: 1-Feb-1999
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