Nonlinear Multiobjective Optimization
Subtitle: A Generalized Homotopy Approach (International Series of Numerical Mathematics)
Edition: 1 edition
Publisher: Birkhauser; Birkhaüser Verlag
Published: March 1, 2001
Language: eng
Format: Hardcover
Number of pages: 135
ISBN-13: 9783764364984
Subjects: Applied mathematics; Numerical analysis; Optimization; Multiple criteria decision mak; Optimization (Mathematical Theory); Mathematics; Science/Mathematics; Multiple criteria decision making; Engineering - Industrial; Game Theory; General; Mathematics / General; homotopy theory; Linear Programming; Mathematical optimization; Nonlinear Programming
First sentence: The behavior of industrial plants and systems is in general determined by a number of physical and technical parameters.
Description: "Arguably, many industrial optimization problems are of the multiobjective type. The present work, after presenting a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-rounded and numerically efficient. The power of the new method is demonstrated by solving two real life problems of industrial optimization.

The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimizations and numerical homotopy methods."--Jacket.