Tractable Analysis of a Finite Capacity Polling System under Bursty and Correlated Arrivals

A Refined Approximation of a Finite Capacity Polling System under ATM Bursty Arrivals

This paper is concerned with both the mean delay and the probability of cell loss 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). A practical polling system with fin...

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

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 f...

Algorithms for Computing Limit distributions of Oscillating Systems with Finite Capacity

We address the batch arrival  systems with finite capacity under partial batch acceptance strategy where service times or rates oscillate between two forms according to the evolution of the number of customers in the system. Applying the theory of Markov regenerative processes and resorting to Markov chain embedding, we present a new algorithm for computing limit distributions of the number cus...

Approximate Analysis of an ATM Switching System with Bursty Arrivals and Finite Capacity

Discrete-time queue with Bernoulli bursty source arrival and generally distributed service times

In this contribution, a discrete-time single-server infinite-capacity queue with correlated arrivals and general service times is investigated. Arrivals of cells are modelled as an on/off source process with geometrically distributed on-periods and off-periods, which is called Bernoulli bursty source. Based on the probability generating function technique, closedform expression of some performa...