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Vishal Sharma, Emmanouel A. Varvarigos, "Circuit Switching with Input Queuing: An Analysis for the dDimensional Wraparound Mesh and the Hypercube," IEEE Transactions on Parallel and Distributed Systems, vol. 8, no. 4, pp. 349366, April, 1997.  
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@article{ 10.1109/71.588603, author = {Vishal Sharma and Emmanouel A. Varvarigos}, title = {Circuit Switching with Input Queuing: An Analysis for the dDimensional Wraparound Mesh and the Hypercube}, journal ={IEEE Transactions on Parallel and Distributed Systems}, volume = {8}, number = {4}, issn = {10459219}, year = {1997}, pages = {349366}, doi = {http://doi.ieeecomputersociety.org/10.1109/71.588603}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Parallel and Distributed Systems TI  Circuit Switching with Input Queuing: An Analysis for the dDimensional Wraparound Mesh and the Hypercube IS  4 SN  10459219 SP349 EP366 EPD  349366 A1  Vishal Sharma, A1  Emmanouel A. Varvarigos, PY  1997 KW  Circuit switching KW  input queuing KW  interconnection networks KW  wraparound meshes KW  hypercubes KW  queuing delay KW  connection delay KW  stability region. VL  8 JA  IEEE Transactions on Parallel and Distributed Systems ER   
Abstract—We analyze circuit switching in a multiprocessor network, where connection requests (or sessions) arrive at each node of the network according to a Poisson process with rate λ. Each session joins the appropriate inputqueue at its source node, and, upon advancing to the head of the queue, transmits a setup packet to establish a connection. If the setup packet is successful, it reserves the links on the path for the duration of the session, and the session is served without interruptions. Otherwise, the connection request remains queued at the source, and subsequent attempts are made to establish the circuit. We analyze the queue of connection requests at the inputbuffer of a network link, and obtain analytic expressions for the stability region, the average queuing delay, the average connection time, the average waiting time, and the average total delay, which show how these parameters depend on system variables, such as network dimension and session arrival rate. The queuing analysis focuses on the inputqueue of a particular link, and accounts for the interactions with queues of other links through the retrial attempts and the associated probability of success. The queuing analysis is independent of the particular network topology under consideration, as long as the probability that a session arriving at a random time successfully establishes a connection can be calculated for that network. Simulations demonstrate the close agreement between the observed network behavior and that predicted by the analysis.
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