On tightness and exponential tightness in generalised Jackson networks

2025/11/02 by Anatolii A. Puhalskii, Puhalskii, A. · 1 citation
Business, Management and Accounting · Decision Sciences · Mathematics · #Advanced Queuing Theory Analysis #Probability and Risk Models #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.2511.00873

Abstract

We give uniform proofs of tightness and exponential tightness of the sequences of stationary queue lengths in generalised Jackson networks in a number of setups which concern large, normal and moderate deviations.

Citations

• On large queue lengths in generalised Jackson networks
• Large deviations of the long term distribution of a non Markov process
• Large deviations and queueing networks: methods for rate function identification

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• On large queue lengths in generalised Jackson networks

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