Titlebook: Basic Mathematical Programming Theory; Giorgio Giorgi,Bienvenido Jiménez,Vicente Novo Textbook 2023 The Editor(s) (if applicable) and The

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https://doi.org/10.1007/978-1-4612-5134-7iterion. However, in areas such as Economics, Social Sciences, Engineering, or Industry it is usually necessary to consider multiple objectives, confronted each other, that requires the use of decision techniques based on a finite number of objectives or criteria (multiobjective optimization or mult

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Giorgio Giorgi,Bienvenido Jiménez,Vicente NovoPuts forth a modern approach to the most valuable mathematical tools within mathematical programming theory.Forms the basis for further study of various algorithmic methods and applications of mathema

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0884-8289 rential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. T978-3-031-30326-5978-3-031-30324-1Series ISSN 0884-8289 Series E-ISSN 2214-7934

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Textbook 2023f the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. T

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Introduction to Multiobjective Optimization,, the interested reader can consult the monographs by Ehrgott [.], Miettinen [.] and Sawaragi, Nakayama and Tanino [.] in finite-dimensional spaces, and Jahn [.] and Luc [.] in infinite-dimensional spaces.

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0884-8289 y of various algorithmic methods and applications of mathemaThe subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations re

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Yves Giguère,Marie-Thérèse Berthiere of these applications the optimal solution . of the unperturbed problem (i.e. with fixed values of the parameters) may be of less interest than its sensitivity with respect to changes in the parameters. In other words, one may ask: how does the solution of the problem change as a function of the changes in the values of the parameters?