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Weak Convergence in Queueing Theory

Donald L. Iglehart
Advances in Applied Probability
Vol. 5, No. 3 (Dec., 1973), pp. 570-594
DOI: 10.2307/1425835
Stable URL: http://www.jstor.org/stable/1425835
Page Count: 25
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Weak Convergence in Queueing Theory
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Abstract

In the last ten years the theory of weak convergence of probability measures has been used extensively in studying the models of applied probability. By far the greatest consumer of weak convergence has been the area of queueing theory. This survey paper represents an attempt to summarize the experience in queueing theory with the hope that it will prove helpful in other areas of applied probability. The paper is organized into the following sections: queues in light traffic, queues in heavy traffic, queues with a large number of servers, continuity of queues, rates of convergence, and special queueing models.

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