Short Communications

Interoutput times in an $M/G/1/PS$ queue with instant feedback

S. A. Grishechkin

Gubkin Russian State University of Oil and Gas

Abstract: We consider an $M/G/1/PS$ system in which customers can immediately rejoin the queue upon completion of the service. The Laplace transform is found for the time interval between two successive epochs the server becomes free (in the stationary regime).

Keywords: processor sharing, branching processes.

Received: 21.10.1991

 English version: Theory of Probability and its Applications, 1994, 39:4, 692–696

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