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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540095521
eBay Product ID (ePID)
117463255
Product Key Features
Subject Area
Data Analysis
Author
G. F. Newell
Publication Name
Approximate Behavior of Tandem Queues
Format
Paperback
Language
English
Subject
Management
Publication Year
1979
Type
Textbook
Number of Pages
414 Pages
Dimensions
Item Height
244mm
Item Width
170mm
Volume
171
Item Weight
734g
Additional Product Features
Title_Author
G. F. Newell
Series Title
Lecture Notes in Economics and Mathematical Systems