Handbook of Optimization in TelecommunicationsM.G.C. Resende and P.M. Pardalos (Editors)
Springer Science + Business Media, 2006.
Nonlinear programming in telecommunications
have always been the subject of application for advanced mathematical
techniques. In this chapter, we review classical nonlinear programming approaches to
modeling and solving certain problems in telecommunications. We emphasize the common
aspects of telecommunications and road networks, and indicate that several lessons
are to be learned from the field of transportation science, where game theoretic and
equilibrium approaches have been studied for more than forty years.
research directions are also stated.
optimization, Frank-Wolfe-like algorithms, simplicial decomposition,
team games, routing, equilibrium flows, capacity assignment, network
design, bilevel programming, Nash equilibrium,Wardrop's principle,