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Local mean-field Markov processes: An application to message-switching networks
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  • Published: December 1992

Local mean-field Markov processes: An application to message-switching networks

  • N. G. Duffield1 nAff2 

Probability Theory and Related Fields volume 93, pages 485–505 (1992)Cite this article

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Summary

Local mean-field Markov processes are constructed from local mean-field dynamical semigroups of Markov transition operators. This provides a general scheme for the convergence of empirical measure processes for tagged particles in the thermodynamic limit of classical interacting particle systems. As an application the Poissonian approximation for message-switching queueing networks is investigated.

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Author information

Author notes
  1. N. G. Duffield

    Present address: School of Mathematics, Dublin City University, Dublin 9, Ireland

Authors and Affiliations

  1. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland

    N. G. Duffield

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  1. N. G. Duffield
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Duffield, N.G. Local mean-field Markov processes: An application to message-switching networks. Probab. Th. Rel. Fields 93, 485–505 (1992). https://doi.org/10.1007/BF01192718

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  • Received: 04 September 1991

  • Revised: 10 March 1992

  • Issue Date: December 1992

  • DOI: https://doi.org/10.1007/BF01192718

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Keywords

  • Stochastic Process
  • Probability Theory
  • Markov Process
  • Transition Operator
  • General Scheme
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