Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network

Language: English

Published by Forgotten Books, 2018

1332245463 / 9781332245468

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Seller: Forgotten Books, London, United KingdomForgotten Books

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Print on Demand. This book presents a mathematically rigorous framework to analyze fluid and diffusion approximations of a two-station mixed queueing network with two types of customers. The author employs established results from queueing theory and applies them to a specific queueing network model that represents manufacturing systems where some tasks are done on a first-come, first-served basis (open customers) and other tasks circulate between stations (closed customers). Specifically, the author proves that as the number of closed customers grows large relative to the rate at which open customers arrive and receive service, the workload process at station one, which represents the manufacturing center, can be approximated by a one-dimensional reflected Brownian motion (RBM) on a finite interval. Furthermore, the author shows that the workload due to open and closed customers at station one are deterministically related and live in fixed proportions. These results have implications for the design and analysis of manufacturing systems, as they provide a way to approximate the behavior of complex systems using simpler models that are easier to analyze. The author brings their expertise in queueing theory and stochastic processes to bear on the subject. The result is a valuable resource for researchers and practitioners interested in the mathematical analysis of manufacturing systems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…

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Title
Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network
Author
Vin Nguyen
Publisher
Forgotten Books
Publication year
2018
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1332245463
ISBN 13
9781332245468
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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