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This Paper discusses the mathematical modeling of the source traffic using Poisson, Pareto, and Weibull distributions along with performance comparison considering these three types of traffic generators: (1) Poisson distribution for modeling the BL ( Pos BL ) and Exponential distribution for modeling the GT ( Exp GT ), the corresponding traffic generator represented by / Pos Exp BL GT ; (2) Pareto distribution for modeling the BL ( Par BL ) and Pareto distribution for modeling the GT ( Par GT ), the corresponding traffic generator represented by / Par Par BL GT ; and (3) Pareto distribution for modeling the BL ( Par BL ) and Weibull distribution for modeling the GT ( Wb GT ), the traffic generator represented by / Par Wb BL GT . Nonbursty traffic was modeled vsing Poisson distribution for burst length and exponential distribution for gap time whereas bursty traffic modeling was achieved through heavy tailed Pareto and Weibull distributions. The comparison between the three traffic generators has been verified through simulation for six sources Examining the simulation results for Allowed Cell Rate (ACR) and Memory Access which indicate the performance of the switch under / Pos Exp BL GT , / Par Par BL GT , and / Par Wb BL GT traffic generators, It is seen that the switch offers best performance under / Par Wb BL GT traffic generators.
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