Networks and queues: Probabilistic methods

zbMath0971.60088MaRDI QIDQ1587455

Philippe Robert

Publication date: 28 November 2000

Published in: Mathématiques \& Applications (Berlin) (Search for Journal in Brave)

zbMATH Keywords

networkspoint processmartingalePoisson processlimit theoremsergodic theoryqueueing theoryM/M/1GI/GI/1M/M/\(\infty\)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (5)

A functional central limit theorem for the \(M/GI/\infty \) queue ⋮ The ODE method for stability of skip-free Markov chains with applications to MCMC ⋮ Stochastic equations with discontinuous jump functions ⋮ Brownian analogues of Burke's theorem. ⋮ Basic analytic combinatorics of directed lattice paths

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