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Foundations of Network Optimization and Games

  • Terry L. Friesz
  • David Bernstein
Book
  • 13k Downloads

Part of the Complex Networks and Dynamic Systems book series (CNDS, volume 3)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Terry L. Friesz, David Bernstein
    Pages 1-21
  3. Terry L. Friesz, David Bernstein
    Pages 23-73
  4. Terry L. Friesz, David Bernstein
    Pages 75-120
  5. Terry L. Friesz, David Bernstein
    Pages 121-167
  6. Terry L. Friesz, David Bernstein
    Pages 169-205
  7. Terry L. Friesz, David Bernstein
    Pages 207-264
  8. Terry L. Friesz, David Bernstein
    Pages 265-323
  9. Terry L. Friesz, David Bernstein
    Pages 325-390
  10. Terry L. Friesz, David Bernstein
    Pages 391-442
  11. Back Matter
    Pages 499-504

About this book

Introduction

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.

Keywords

Feasible Direction Infrastructure Networks Infrastructure Research Network Economics Network Engineering Network Flows Network Games Network Optimization Steepest Descent

Authors and affiliations

  • Terry L. Friesz
    • 1
  • David Bernstein
    • 2
  1. 1.Department of Industrial & Manufacturing EngineeringPennsylvania State UniversityUniversity ParkUSA
  2. 2.Dept. of Computer ScienceJames Madison UniversityHarrisonburgUSA

Bibliographic information

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