QUEUE SIZE AND DELAY ANALYSIS FOR A COMMUNICATION SYSTEM SUBJECT TO TRAFFIC ACTIVITY MODE CHANGES.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)622-628
Journal / PublicationIEEE Transactions on Communications
VolumeCOM-34
Issue number6
Publication statusPublished - Jun 1986
Externally publishedYes

Abstract

The authors consider a discrete single-server queuing/communication system, in which the arrival distribution is changing stochastically with time. The distribution of the number of messages to arrive within a time slot depends on a traffic activity process of modes. This process of modes is a two-state Markov chain: mode 0 and mode 1, which represent light and heavy traffic conditions, respectively. The transition probabilities of this Markov chain (called mode duration parameters, or MDPs) determine the distribution of the duration of time the process stays in each mode. Expressions for the z-transform, expectation, and variance are obtained for the steady-state queue size and delay. A special consideration is given to the effect of the MDPs on the system performance, and the limiting cases (where the MDPs approach zero) are studied.