Approximate Behavior of Tandem Queues

G. F. Newell

ISBN 10: 3540095527 / ISBN 13: 9783540095521

Verlag: Springer Berlin Heidelberg Sep 1979, 1979

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 428 pp. Englisch.

Bestandsnummer des Verkäufers 9783540095521

Bibliografische Details

• Titel: Approximate Behavior of Tandem Queues
• Verlag: Springer Berlin Heidelberg Sep 1979
• Erscheinungsjahr: 1979
• Sprache: Englisch
• ISBN-10: 3540095527
• ISBN-13: 9783540095521
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 244B x 170 H x 24 T Millimeter Breite: 244 mm, Höhe: 170 mm, Tiefe: 24 mm
• Gewicht: 734 Gramm

Über diesen Titel

Inhaltsangabe

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.