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On uniformly distributed on/off arrivals in virtual output queued switches with geometric service times

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3 Author(s)
Elhanany, I. ; Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Israel ; Kahane, M. ; Sadot, D.

Virtual queueing is commonly deployed as a buffering technique in high-performance input-queued switch architectures. This paper presents the analysis for discrete-time virtual output queued switches with incoming traffic governed by a uniformly distributed Markov modulated on/off process, and geometrically distributed service times. We utilize the k-step first-passage time probability matrix to derive the probability generating function of the inter-arrival times distribution. Based on the latter, closed-form expressions for the queue size distribution and mean delay are obtained. The validity of the analysis is established through computer simulations.

Published in:

Communications, 2003. ICC '03. IEEE International Conference on  (Volume:1 )

Date of Conference:

11-15 May 2003