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Point processes in fast Jackson networks

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Publication:1872439
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DOI10.1214/aoap/1015345344zbMath1021.90007OpenAlexW2170627936MaRDI QIDQ1872439

James B. Martin

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aoap/1015345344


zbMATH Keywords

equilibriumpoint processesJackson-type network


Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (4)

Nonlinear Markov processes in big networks ⋮ On a doubly dynamically controlled supermarket model with impatient customers ⋮ The mean-field computation in a supermarket model with server multiple vacations ⋮ Block-structured supermarket models



Cites Work

  • An introduction to the theory of point processes
  • Nonparametric inference for a family of counting processes
  • Queueing system with selection of the shortest of two queues: An asymptotic approach
  • Fast Jackson networks
  • On convergence in variation of the distributions of multivariate point processes
  • Some distributional approximations in Markovian queueing networks
  • Probability with Martingales
  • Unnamed Item


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