The first Erlang century—and the next
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...
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| Veröffentlicht in: | Queueing systems 2009-12, Vol.63 (1-4), p.3-12 |
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| container_end_page | 12 |
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| container_title | Queueing systems |
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| creator | Kingman, J. F. C. |
| description | 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. |
| doi_str_mv | 10.1007/s11134-009-9147-4 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0257-0130 |
| ispartof | Queueing systems, 2009-12, Vol.63 (1-4), p.3-12 |
| issn | 0257-0130 1572-9443 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Business and Management Computer Communication Networks Control Engineers History Laboratories Mathematicians Operations research Operations Research/Decision Theory Poisson distribution Probability Theory and Stochastic Processes Queuing theory Random variables Servers Studies Supply Chain Management Systems Theory Traffic flow |
| title | The first Erlang century—and the next |
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