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Analysis of a tandem network model of a single-router Network-on-Chip

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  • Paul Beekhuizen
  • Dee Denteneer
  • Ivo Adan

Abstract

We study a single-router Network-on-Chip modelled as a tandem queueing network. The first node is a geo K /D/1 queue (K fixed) representing a network interface, and the second node is a ./G/1 queue representing the packet switch. If K>1 we have train arrivals at the second node. If K=1 the arrival process of the second node reduces to a Bernoulli process. In the latter case, routers have been studied extensively as part of ATM and LAN networks under the assumption that the number of input ports N tends to infinity. In Networks-on-Chips N is usually 4 or 5 and results for ATM and LAN routers lead to inaccurate results. We introduce a new approximation scheme that yields accurate results for small switches. In addition to this we analyse the tandem network, both for K=1 and K>1, and we approximate the mean sojourn time in the switch and the mean end-to-end delay. If N=4 our approximation has a relative error of only 4.5% if K=6 and 1% if K=1. Copyright The Author(s) 2008

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  • Paul Beekhuizen & Dee Denteneer & Ivo Adan, 2008. "Analysis of a tandem network model of a single-router Network-on-Chip," Annals of Operations Research, Springer, vol. 162(1), pages 19-34, September.
    • Handle: RePEc:spr:annopr:v:162:y:2008:i:1:p:19-34:10.1007/s10479-008-0333-2
    DOI: 10.1007/s10479-008-0333-2
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    Cited by:

    1. Ruth Sagron & Uri Yechiali, 2024. "Inter-Departure Time Correlations in PH / G /1 Queues," Mathematics, MDPI, vol. 12(9), pages 1-23, April.

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