The Upper Bounds for Performance Measures of a Finite Capacity Polling System under ATM Bursty Arrivals

نویسنده

  • Arne A. Nilsson
چکیده

This paper focuses on the upper bounds for both the mean delay and the loss probability that bursty arrivals incur in an ATM switching system which can be modeled as a finite capacity polling system with nonexhaustive cyclic service. The arrival process to each input port of the system is assumed to be bursty and is modeled by an Interrupted Bernoulli Process(IBP). We compute the upper bounds for this polling system by considering a cell multiplexer with the same arrival processes and equal queue capacity. Under the ATM environment, the mean delay obtained from this multiplexer cannot only serve as an upper bound but also render a fairly accurate estimation for the mean delay of the polling system. For the cell loss probability, we consider a multiple urn model with uniform occupancy distribution which will guarantee the upper bound. Also, a heuristic method is proposed to give better estimation for cases which have medium to high cell loss rate. These analytic results are compared against the simulation results of the polling system to validate this approach. The Upper Bounds for Performance Measures .. · Jou, Nilsson, and Lai.

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تاریخ انتشار 2007