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Titlebook: Recent Advances and Historical Development of Vector Optimization; Proceedings of an In Johannes Jahn,Werner Krabs Conference proceedings 1

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书目名称Recent Advances and Historical Development of Vector Optimization
副标题Proceedings of an In
编辑Johannes Jahn,Werner Krabs
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Recent Advances and Historical Development of Vector Optimization; Proceedings of an In Johannes Jahn,Werner Krabs Conference proceedings 1
描述In vector optimization one investigates optimization problems in an abstract setting which have a not necessarily real-valued objective function. This scientific discipline is closely related to multi-objective optimization and multi-criteria decision making. This book contains refereed contributions to the "International Conference on Vector Optimization" held at the Technical University of Darmstadt from August 4-7, 1986. This meeting was an interdisciplinary forum devoted to new results in the theory, to applications as well as to the solution of vector optimization problems which are relevant in practice. Because of the great variety of topics covered by the contributions, the 25 articles of this volume are organized in different sections: Historical retrospect, mathematical theory, goal setting and decision making, engineering applications, and related topics. The papers of the invited State-of-the-Art Tutorials given by Professors J.M. Borwein, H. Eschenauer, W. Stadler and P.L. Yu are also included.
出版日期Conference proceedings 1987
关键词decision making; multi-criteria decision making; multi-objective optimization; optimization
版次1
doihttps://doi.org/10.1007/978-3-642-46618-2
isbn_softcover978-3-540-18215-3
isbn_ebook978-3-642-46618-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1987
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https://doi.org/10.1007/978-3-642-46618-2decision making; multi-criteria decision making; multi-objective optimization; optimization
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978-3-540-18215-3Springer-Verlag Berlin Heidelberg 1987
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Some Considerations about Computational Complexity for Multi Objective Combinatorial Problemsring the 70’s just a few papers have been published on multi objective (m.o.) integer linear programming. However no special emphasis was put on the important aspect of computational complexity. This can be certainly ascribed to the fact that the theory of NP—completeness was developing at a fast pace in those same years.
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Evaluation Functionals are the Extreme Points of a Basis for the Dual de C 1 + [a,b]We show via a Sobolev’s imbedding theorem that the evaluation functionals are the extreme points of a basis for the dual cone of the cone formed by real non-negative continuously differentiable functions on a bounded closed interval.
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A Result of Farkas Type and Duality in Vector OptimizationBy a minimax approach we prove a result of Farkas type and use it to derive duality for vector optimization problems with and without constraint qualification.
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