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On pathwise analysis and existence of empirical distributions for G/G/1 queues

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  • Guillemin, Fabrice M.
  • Mazumdar, Ravi R.

Abstract

In this paper we study the existence of empirical distributions of G/G/1 queues via a sample-path approach. We show the convergence along a given trajectory of empirical distributions of the workload process of a G/G/1 queue under the condition that the work brought into the system has strictly stationary increments and the time average of the queue load converges along the trajectory to a quantity [varrho]

Suggested Citation

  • Guillemin, Fabrice M. & Mazumdar, Ravi R., 1997. "On pathwise analysis and existence of empirical distributions for G/G/1 queues," Stochastic Processes and their Applications, Elsevier, vol. 67(1), pages 55-67, April.
    • Handle: RePEc:eee:spapps:v:67:y:1997:i:1:p:55-67
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    References listed on IDEAS

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    1. Bardhan, Indrajit & Sigman, Karl, 1995. "Stationary regimes for inventory processes," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 77-86, March.
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