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Multilevel Optimization : Algorithms and Applications :  Algorithms and Applications - Athanasios Migdalas

Multilevel Optimization : Algorithms and Applications

Algorithms and Applications

By: Athanasios Migdalas (Editor), Panos M. Pardalos (Editor), Peter Varbrand (Editor)

Hardcover Published: December 1997
ISBN: 9780792346937
Number Of Pages: 386

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In many decision processes there is an hierarchy of decision-makers and decisions are taken at different levels in this hierarchy. Multi-level programming focuses on the whole hierarchy structure. In terms of modeling, the constraint domain associated with a multi-level programming problem is implicitly determined by a series of optimization problems which must be solved in a predetermined sequence. Hierarchical structures can be found in scientific disciplines such as environment, ecology, biology, chemical engineering, mechanics, classification theory, databases, network design, transportation, game theory and economics. New applications are constantly being introduced. This has stimulated the development of new theory and efficient algorithms. This volume contains 16 chapters written by various leading researchers and presents a cohesive authoritative overview of developments and applications in their emerging field of optimization. This volume will be of interest to researchers whose work involves the application of mathematical programming and optimization to hierarchical structures.

Preface
Congested O-D Trip Demand Adjustment Problem: Bilevel Programming Formulation and Optimality Conditionsp. 1
Determining Tax Credits for Converting Nonfood Crops to Biofuels: An Application of Bilevel Programmingp. 23
Multilevel Optimization Methods in Mechanicsp. 51
Optimal Structural Design in Nonsmooth Mechanicsp. 91
Optimizing the Operations of an Aluminium Smelter Using Non-Linear Bi-Level Programmingp. 117
Complexity Issues in Bilevel Linear Programmingp. 149
The Computational Complexity of Multi-Level Bottleneck Programming Problemsp. 165
On the Linear Maxmin and Related Programming Problemsp. 181
Piecewise Sequential Quadratic Programming for Mathematical Programs with Nonlinear Complementarity Constraintsp. 209
A New Branch and Bound Method for Bilevel Linear Programsp. 231
A Penalty Method for Linear Bilevel Programming Problemsp. 251
An Implicit Function Approach to Bilevel Programming Problemsp. 273
Bilevel Linear Programming, Multiobjective Programming, and Monotonic Reverse Convex Programmingp. 295
Existence of Solutions to Generalized Bilevel Programming Problemp. 315
Application of Topological Degree Theory to Complementarity Problemsp. 333
Optimality and Duality in Parametric Convex Lexicographic Programmingp. 359
Indexp. 381
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792346937
ISBN-10: 0792346939
Series: Nonconvex Optimization and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 386
Published: December 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 17.15  x 2.54
Weight (kg): 0.79