Optimal Markovian coupling and exponential convergence rate for the TCP process

DOI10.1007/S10114-021-9187-1zbMath1480.60212OpenAlexW3125330878WikidataQ115606149 ScholiaQ115606149MaRDI QIDQ2025263

Jing Hai Shao, Jianhai Bao

Publication date: 11 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-9187-1

zbMATH Keywords

ergodicityWasserstein distanceoptimal Markovian couplingtransmission control protocol (TCP) process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

• Total variation estimates for the TCP process
• Markov chains and stochastic stability
• On \(\mathcal{H}^1\) and entropic convergence for contractive PDMP
• On the long time behavior of the TCP window size process
• AIMD algorithms and exponential functionals
• Quantitative bounds for convergence rates of continuous time Markov processes
• Optimal markovian couplings and applications
• A Markovian analysis of additive-increase multiplicative-decrease algorithms

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