Overview
- For practitioners, researchers, and advanced students in Civil Engineering, Industrial Engineering, Systems Engineering, and Operations Research
- Useful reference for researchers in the design and operation of transportation, water resource, telecommunication, and energy infrastructure
- Presents many numerical examples throughout
Part of the book series: Complex Networks and Dynamic Systems (CNDS, volume 3)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This is a book about infrastructure networks that are intrinsically nonlinear. The networks considered range from vehicular networks to electric power networks to data networks.
The main point of view taken is that of mathematical programming in concert with finite-dimensional variational inequality theory. The principle modeling perspectives are network optimization, the theory of Nash games, and mathematical programming with equilibrium constraints. Computational methods and novel mathematical formulations are emphasized. Among the numerical methods explored are network simplex, gradient projection, fixed-point, gap function, Lagrangian relaxation, Dantzig-Wolfe decomposition, simplicial decomposition, and computational intelligence algorithms.
Many solved example problems are included that range from simple to quite challenging. Theoretical analyses of several models and algorithms, to uncover existence, uniqueness and convergence properties, are undertaken. The bookis meant for use in advanced undergraduate as well as doctoral courses taught in civil engineering, industrial engineering, systems engineering, and operations research degree programs. At the same time, the book should be a useful resource for industrial and university researchers engaged in the mathematical modeling and numerical analyses of infrastructure networks.
Reviews
“This book is about nonlinear deterministic network models. … Each chapter is self-contained and has its own reference list. The book's main aim is to present a tool kit to model and solve complex network problems in practice. … It is easy to follow the exposition. … this book provides a good guideline for first and second reading.” (Mechthild Opperud, Mathematical Reviews, June, 2016)
“The book presents an excellent comprehensive introduction to the area of network flow problems, where not only a system optimum is searched, but also the behaviour of competing non-cooperative users is taken into account. … Generally, it can be stated that the book constitutes a precious guide for researchers and advanced students to the field of network flow problems.” (Jaroslav Janáček, zbMATH 1344.90062, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Foundations of Network Optimization and Games
Authors: Terry L. Friesz, David Bernstein
Series Title: Complex Networks and Dynamic Systems
DOI: https://doi.org/10.1007/978-1-4899-7594-2
Publisher: Springer New York, NY
eBook Packages: Business and Management, Business and Management (R0)
Copyright Information: Springer Science+Business Media New York 2016
Hardcover ISBN: 978-1-4899-7593-5Published: 01 October 2015
Softcover ISBN: 978-1-4899-7772-4Published: 23 August 2016
eBook ISBN: 978-1-4899-7594-2Published: 30 September 2015
Series ISSN: 2195-724X
Series E-ISSN: 2195-7258
Edition Number: 1
Number of Pages: XIII, 504
Number of Illustrations: 57 b/w illustrations, 6 illustrations in colour
Topics: Operations Research/Decision Theory, Operations Research, Management Science