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Large finite population queueing systems. The single-server model

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  • Louchard, G.

Abstract

Stochastic variables associated to a single-server queueing system with finite population are shown to weakly converge, on some time regions, to Gaussian processes, Brownian motions or stochastic integrals on such when the population size increases. Queue length, unfinished work, storage occupied (in a computer system model) and idle time show different limiting behaviour, depending on the arrival and service distribution.

Suggested Citation

  • Louchard, G., 1994. "Large finite population queueing systems. The single-server model," Stochastic Processes and their Applications, Elsevier, vol. 53(1), pages 117-145, September.
  • Handle: RePEc:eee:spapps:v:53:y:1994:i:1:p:117-145
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    Cited by:

    1. Gianmarco Bet & Remco van der Hofstad & Johan S. H. van Leeuwaarden, 2019. "Heavy-Traffic Analysis Through Uniform Acceleration of Queues with Diminishing Populations," Mathematics of Operations Research, INFORMS, vol. 44(3), pages 821-864, August.

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