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Zbl 1189.90043
Kingman, J.F.C.
The first Erlang century---and the next. (English)
[J] Queueing Syst. 63, No. 1-4, 3-12 (2009). ISSN 0257-0130; ISSN 1572-9443/e

Summary: The history of queueing theory, particularly over the first sixty years after Erlang's 1909 paper, is summarised and assessed, with particular reference to the influence of Pollaczek and Kendall. The interactions between the world of telephone traffic and that of applied probability and operational research are a significant factor. The history is followed by speculation about the directions in which the theory might now develop, in response to new problems and new possibilities. It is suggested that classical unsolved problems like the queue $M/G/k$ might be revisited, and that non-renewal inputs might be handled by martingale techniques.

MSC 2000:: *90B22 Queues and service
60K25 Queueing theory

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Zentralblatt MATH Berlin [Germany]