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IEICE TRANSACTIONS on Communications

A Cost-Effective Network for Very Large ATM Cross-Connects--The Delta Network with Expanded Middle Stages--

Takashi SHIMIZU, Hiroaki KUNIEDA

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Summary :

This paper presents a cost-effective network for very large ATM cross-connects. In order to develop it, we propose the delta network with expanded middle stages. This proposed network is the intermediate network between a nonblocking network and the delta network with respect to the cost of hardware and internal blocking probability. Using this network, we explore the tradeoff between the cost and internal blocking probability, and derive the optimum configuration under temporarily deviating traffic. Internal blocking occurs when input traffic temporarily deviates from its average value. However, we cannot evaluate the internal blocking probability by using conventional traffic models. In this paper, we adopt temporarily deviating traffic such that all traffic is described as the superposition of the paths which are defined by traffic parameters. As can easily be seen, the path corresponds to virtual path (VP) or virtual channel (VC). Therefore, we believe that our model describes actual traffic more exactly than conventional models do. We show that the optimum configuration is the proposed network whose expansion ratio γ=3 when the maximum number of paths that can be accommodated in one link is greater than 22. This network achieves the internal blocking probability of 10-10. As an example of this network, we show that the proposed network of size 7272 is constructed with only 40% of the hardware required by the nonblocking network.

Publication
IEICE TRANSACTIONS on Communications Vol.E77-B No.11 pp.1429-1436
Publication Date
1994/11/25
Publicized
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Type of Manuscript
Special Section PAPER (Special Issue on Distributed Architecture for Next Generation Communication Networks)
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