Transient Moments of the TCP Window Size Process

DOI10.1239/JAP/1208358959zbMath1142.60049OpenAlexW2064716601MaRDI QIDQ5459916

Johan S. H. van Leeuwaarden, Andreas Löpker

Publication date: 30 April 2008

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1208358959

zbMATH Keywords

optimal stoppingstationary distributionmixing timeexponential functionaldifference equationTCPAIMDwindow sizeDynkin's martingalePiecewise-deterministic Markov processtransient moments

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Communication networks in operations research (90B18) Stochastic network models in operations research (90B15) Martingales with continuous parameter (60G44) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Traffic problems in operations research (90B20) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Transition functions, generators and resolvents (60J35) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (10)

A MARKOV-MODULATED GROWTH COLLAPSE MODEL ⋮ On Growth-Collapse Processes with Stationary Structure and Their Shot-Noise Counterparts ⋮ A Probabilistic Look at Conservative Growth-Fragmentation Equations ⋮ Fractional Moments of Solutions to Stochastic Recurrence Equations ⋮ Hitting Times and the Running Maximum of Markovian Growth-Collapse Processes ⋮ A new formula for some linear stochastic equations with applications ⋮ TCP and iso-stationary transformations ⋮ On the long time behavior of the TCP window size process ⋮ Some simple but challenging Markov processes ⋮ Limit theorems for some branching measure-valued processes

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