Control Schemes in Queueing Networks

A. Brandwajn
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A. Brandwajn: Institut de Recherche d'Informatique et d'Automatique

Management Science, 1976, vol. 22, issue 7, 810-822

Abstract: We consider open and closed queueing networks consisting of a set of controlled service centers. The controlled service center contains an exponential server, a queue of delayed customers and a control switch between them. The switch position is a function (control function) of the service center state which provides a means of controlling the service rate by admitting or not users into the server's queue. We give the stationary probability distribution for a broad class of control functions. An application of these results to the expected queue lengths and the expected waiting times in a two-server closed network is also considered.

Date: 1976
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