Dimensioning the contention channel of DOCSIS cable modem networks

Authors:
J. Lambert;B. Van Houdt;C. Blondia
Affiliations:
Department of Mathematics and Computer Science, Performance Analysis of Telecommunication Systems Research Group, University of Antwerp, Antwerp, Belgium;Department of Mathematics and Computer Science, Performance Analysis of Telecommunication Systems Research Group, University of Antwerp, Antwerp, Belgium;Department of Mathematics and Computer Science, Performance Analysis of Telecommunication Systems Research Group, University of Antwerp, Antwerp, Belgium
Venue:
NETWORKING'05 Proceedings of the 4th IFIP-TC6 international conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communication Systems
Year:
2005

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Abstract

This paper presents an open queueing model with blocking that enables us to determine the optimal fraction c* of the uplink channel capacity that should be dedicated to the contention channel in order to minimize the mean response time in a DOCSIS cable network. To assess the performance of this queueing network we make use of a decomposition technique. One of the key components of the model exists in capturing the behavior of the conflict resolution algorithm by means of a single processor sharing queue. The model is validated in three successive steps by means of several simulation programs. We also explore the impact of a variety of systems parameters, e.g., the number of cable modems, the initial backoff window size, etc. , on the optimum c*.