A Note on Insensitivity in Stochastic Networks

Stan Zachary

44 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Stochastic processes and statistical mechanics

Abstract

We give a simple and direct treatment of insensitivity in stochastic networks which is quite general and provides probabilistic insight into the phenomenon. In the case of multi-class networks, our results generalise those of Bonald and Proutière (2002), (2003).

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References

1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models 1993Markov Models & Optimization 1986Blocking probabilities in large circuit-switched networks 1999Introduction to Stochastic Networks 1984Insensitivity of blocking probabilities in a circuit-switching network 2002Insensitivity in processor-sharing networks 1980Insensitivity in queueing systems

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