Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Foundations of network optimization and games / Terry L. Friesz and David Bernstein.

By: Contributor(s): Series: Complex networks and dynamic systems ; v 3.Publication details: London : Springer, 2016.Description: xiii, 504 p. ; illustrationsISBN:
  • 9781489975935
Subject(s): DDC classification:
  • 658.4032 23 F912
Contents:
1. Introduction -- 2. Elements of Nonlinear Programming -- 3. Elements of Graph Theory -- 4. Programs with Network Structure -- 5. Near-Network and Large-Scale Programs -- 6. Normative Network Models and Their Solution -- 7. Nash Games -- 8. Network Traffic Assignment -- 9. Spatial Price Equilibrium on Networks -- 10. Network Stackelberg Games and Mathematical Programs with Equilibrium Constraints.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.

Includes bibliographical references and index.

1. Introduction --
2. Elements of Nonlinear Programming --
3. Elements of Graph Theory --
4. Programs with Network Structure --
5. Near-Network and Large-Scale Programs --
6. Normative Network Models and Their Solution --
7. Nash Games --
8. Network Traffic Assignment --
9. Spatial Price Equilibrium on Networks --
10. 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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in