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Approximate Behavior of Tandem Queues

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Produktnummer: 1894c07bc6a55f44bb920210b7c9061a34
Autor: Newell, G.F.
Themengebiete: Distribution Image Queues Warteschlange equilibrium evaluation merger probability probability distribution science and technology
Veröffentlichungsdatum: 01.09.1979
EAN: 9783540095521
Sprache: Englisch
Seitenzahl: 414
Produktart: Kartoniert / Broschiert
Verlag: Springer Berlin
Produktinformationen "Approximate Behavior of Tandem Queues"
The following monograph deals with the approximate stochastic behavior of a system consisting of a sequence of servers in series with finite storage between consecutive servers. The methods employ deterministic queueing and diffusion approximations which are valid under conditions in which the storages and the queue lengths are typically large compared with 1. One can disregard the fact that the customer counts must be integer valued and treat the queue as if it were a (stochastic) continuous fluid. In these approximations, it is not necessary to describe the detailed probability distribution of service times; it suffices simply to specify the rate of service and the variance rate (the variance of the number served per unit time). Specifically, customers are considered to originate from an infinite reservoir. They first pass through a server with service rate ~O' vari ance rate ~O' into a storage of finite capacity c . They then pass l through a server with service rate ~l' variance rate ~l' into a storage of capacity c ' etc., until finally, after passing through an nth server, 2 they go into an infinite reservoir (disappear). If any jth storage become , n , the service at the j-lth server is interrupted full j = 1, 2, and, of course, if a jth storage becomes empty the jth server is inter rupted; otherwise, services work at their maximum rate.

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