On the quasireversibility of a multiclass Brownian service station
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Publication:921723
DOI10.1214/aop/1176990745zbMath0709.60081OpenAlexW2054705374MaRDI QIDQ921723
J. Michael Harrison, Ruth J. Williams
Publication date: 1990
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176990745
stationary distributionquasireversibilityBrownian model of a multiclass service stationBrownian network models
Queueing theory (aspects of probability theory) (60K25) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items (15)
Discrete integrable systems and Pitman's transformation ⋮ A review of Burke's theorem for Brownian motion ⋮ Convergence of tandem Brownian queues ⋮ Quasi-reversible multiclass queues with order independent departure rates ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ Heavy-Traffic Limit of the GI/GI/1 Stationary Departure Process and Its Variance Function ⋮ Brownian analogues of Burke's theorem. ⋮ Filtering of a reflected Brownian motion with respect to its local time ⋮ A path-transformation for random walks and the Robinson-Schensted correspondence ⋮ Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures ⋮ Attractiveness of Brownian queues in tandem ⋮ Queues, stores, and tableaux ⋮ Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings ⋮ Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
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