Modulated Branching Processes, Origins of Power Laws, and Queueing Duality

DOI10.1287/moor.1100.0464zbMath1221.60120arXiv0709.4297OpenAlexW2120294584MaRDI QIDQ3169121

Jian Tan, Predrag R. Jelenković

Publication date: 27 April 2011

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4297

zbMATH Keywords

subexponential distributionsheavy tailsqueueing processespower law distributionsCramér large deviationsmodulated branching processespolynomial Gärtner-Ellis conditionsproportional growth modelsreflected additive random walksreflected multiplicative processesreflective/absorbing barriers

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Queueing theory (aspects of probability theory) (60K25) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Information ranking and power laws on trees ⋮ Distribution of the Number of Retransmissions of Bounded Documents ⋮ Staffing Many-Server Systems with Admission Control and Retrials

This page was built for publication: Modulated Branching Processes, Origins of Power Laws, and Queueing Duality