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The throughput of a series of buffers

Published online by Cambridge University Press:  01 July 2016

F. P. Kelly
F. P. Kelly*
Affiliation:
University of Cambridge
*
∗Postal address: Statistical Laboratory, 16 Mill Lane, Cambridge, CB2 1SB, U.K.
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Abstract

Messages are to be transmitted through a series of n nodes linked by communication channels. The lengths of successive messages are independent identically distributed random variables, and the time taken to transmit a message through a channel is determined by its length. Each node has a finite buffer, and when the number of messages at a node reaches the buffer size transmission from the preceding node is interrupted. This paper is concerned with the maximum rate at which messages can pass through the system, called the throughput. We investigate the asymptotic behaviour of throughput as the series length increases, and determine the rate at which buffer sizes should grow to ensure that throughput does not decline to 0.

Keywords

SERIES OF QUEUESBLOCKINGTHROUGHPUTCOMMUNICATION CHANNELSJOB-SHOPSEXTREME VALUES
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 3 , September 1982 , pp. 633 - 653
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

Research supported by the National Science Foundation under Grant ENG-7903879 A01, and carried out while the author was visiting the Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory, University of California, Berkeley, CA 94720, U.S.A.

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