Nonlinear Integer Programming

Duan Li, Xiaoling Sun (Autoren)

Buch | Softcover

438 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2006
Springer-Verlag New York Inc.
978-1-4419-3991-3 (ISBN)

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It is not an exaggeration that much of what people devote in their hfe re solves around optimization in one way or another. On one hand, many decision making problems in real applications naturally result in optimization problems in a form of integer programming. On the other hand, integer programming has been one of the great challenges for the optimization research community for many years, due to its computational difficulties: Exponential growth in its computational complexity with respect to the problem dimension. Since the pioneering work of R. Gomory [80] in the late 1950s, the theoretical and methodological development of integer programming has grown by leaps and bounds, mainly focusing on linear integer programming. The past few years have also witnessed certain promising theoretical and methodological achieve ments in nonlinear integer programming. When the first author of this book was working on duality theory for n- convex continuous optimization in the middle of 1990s, Prof. Douglas J. White suggested that he explore an extension of his research results to integer pro gramming. The two authors of the book started their collaborative work on integer programming and global optimization in 1997. The more they have investigated in nonlinear integer programming, the more they need to further delve into the subject. Both authors have been greatly enjoying working in this exciting and challenging field.

Optimality, Relaxation and General Solution Procedures.- Lagrangian Duality Theory.- Surrogate Duality Theory.- Nonlinear Lagrangian and Strong Duality.- Nonlinear Knapsack Problems.- Separable Integer Programming.- Nonlinear Integer Programming with a Quadratic Objective Function.- Nonseparable Integer Programming.- Unconstrained Polynomial 0–1 Optimization.- Constrained Polynomial 0–1 Programming.- Two Level Methods for Constrained Polynomial 0–1 Programming.- Mixed-Integer Nonlinear Programming.- Global Descent Methods.

Erscheint lt. Verlag	19.11.2010
Reihe/Serie	International Series in Operations Research Management Science ; 84
Zusatzinfo	XXII, 438 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
ISBN-10	1-4419-3991-1 / 1441939911
ISBN-13	978-1-4419-3991-3 / 9781441939913
Zustand	Neuware