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Foundations of network optimization ...

Bernstein, David.

Foundations of network optimization and games

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Foundations of network optimization and gamesby Terry L. Friesz, David Bernstein.
作者:	Friesz, Terry L.
其他作者:	Bernstein, David.
出版者:	Boston, MA :Springer US :2016.
面頁冊數:	xiii, 504 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Infrastructure (Economics)
電子資源:	http://dx.doi.org/10.1007/978-1-4899-7594-2
ISBN:	9781489975942$q(electronic bk.)

Foundations of network optimization and games
Friesz, Terry L.

Foundations of network optimization and games[electronic resource] /by Terry L. Friesz, David Bernstein. - Boston, MA :Springer US :2016. - xiii, 504 p. :ill., digital ;24 cm. - Complex networks and dynamic systems,v.32195-724X ;. - Complex networks and dynamic systems ;v.3..

Introduction -- Elements of Nonlinear Programming -- Elements of Graph Theory -- Programs with Network Structure -- Near-Network and Large-Scale Programs -- Normative Network Models and Their Solution -- Nash Games -- Network Traffic Assignment -- Spatial Price Equilibrium on Networks -- Network Stackelberg Games and Mathematical Programs with Equilibrium Constraints.

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 book is 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.

ISBN: 9781489975942$q(electronic bk.)

Standard No.: 10.1007/978-1-4899-7594-2doiSubjects--Topical Terms:

205488
Infrastructure (Economics)

LC Class. No.: HB74.2

Dewey Class. No.: 303.5

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520 $a 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 book is 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.
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