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Positive Harris Recurrence and Diffusion Scale Analysis of a Push Pull Queueing Network

22 citations0/0 files storedInternational ICST Conference on Performance Evaluation Methodologies and Tools (VALUETOOLS)

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Advanced Queuing Theory Analysis Stochastic processes and statistical mechanics Probability and Risk Models

Abstract

We consider a push pull queueing system with two servers and two types of jobs which are processed by the two servers in opposite order, with stochastic generally distributed processing times. This push pull system was introduced by Kopzon and Weiss, who assumed exponential processing times. It is s

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References

1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models 2007Control Techniques for Complex Networks 2001Fundamentals of Queueing Networks 1993Re-entrant lines 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations 2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization 2005Maximum Pressure Policies in Stochastic Processing Networks

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