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Dynamic Distributed Scheduling in Random Access Networks

Part of: Special processes Computer system organization Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Alexander L. Stolyar
Alexander L. Stolyar*
Affiliation:
Bell Laboratories
*
∗Postal address: Bell Laboratories, Alcatel-Lucent, Murray Hill, NJ 07974, USA. Email address: stolyar@research.bell-labs.com
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Abstract

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We consider a model of random access (slotted-aloha-type) communication networks of general topology. Assuming that network links receive exogenous arrivals of packets for transmission, we seek dynamic distributed random access strategies whose goal is to keep all network queues stable. We prove that two dynamic strategies, which we collectively call queue length based random access (QRA), ensure stability as long as the rates of exogenous arrival flows are within the network saturation rate region. The first strategy, QRA-I, can be viewed as a random-access-model counterpart of the max-weight scheduling rule, while the second strategy, QRA-II, is a counterpart of the exponential (EXP) rule. The two strategies induce different dynamics of the queues in the fluid scaling limit, which can be exploited for the quality-of-service control in applications.

Keywords

Random multiple accessqueueing networkstabilitymedium access controlslotted aloha

MSC classification

Secondary: 90B15: Network models, stochastic 60K25: Queueing theory 68M12: Network protocols
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 2 , June 2008 , pp. 297 - 313
Copyright
Copyright © Applied Probability Trust 2008 

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