Kategoria BISAC: Mathematics >> Linear & Nonlinear Programming

This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990's. The authors integrate related research into the book and demonstrate the wide context from which the area has grown and continues to grow.

Wer Querverbindungen in der Mathematik mag, den interessiert mit Sicherheit auch das lineare Komplementaritatsproblem. Denn viele mathematische Problemstellungen, die auf den ersten Blick nichts miteinander zu tun haben, lassen sich in ein lineares Komplementaritatsproblem uberfuhren. Das Buch stellt erstmals auf Deutsch viele dieser Problemstellungen vor. Zur Losung werden sowohl direkte als auch iterative Verfahren betrachtet. Die Losungen zu den in den Kapiteln gestellten Aufgaben sind ausgearbeitet, detaillierte Abbildungen runden das Buch ab.

A path player game is a new innovative type of game which considers network flow problems from the viewpoint of network owners. This strategy enables modeling real-world problems and has many practical applications.

Key features:

* Presents a rigorous exposition of the theoretical foundations of the concept of a path player game;

* Suggests 18 practical open problems for future research in such areas as traffic planning, computation of equilibria, and optimization;

* Examines potentials for games on polyhedra as well as integer versions of generalized Nash...

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the...