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

Fabrice M. Guillemin and Ravi R. Mazumdar

Stochastic Processes and their Applications, 1997, vol. 67, issue 1, 55-67

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]

Keywords: Workload; Benes; equation; Stationary; increments; Empirical; distributions; Ergodicity (search for similar items in EconPapers)
Date: 1997
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