Author: Christian Malivert
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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CETTE THESE REGROUPE UN ENSEMBLE DE TRAVAUX AUTOUR DU THEME DE L'OPTIMISATION MULTICRITERE. ON PRESENTE TOUT D'ABORD DE NOUVEAUX RESULTATS SUR L'EXISTENCE DES SOLUTIONS DANS LE CAS OU LA RELATION DE PREFERENCE EST TRANSITIVE, NON NECESSAIREMENT ASSOCIEE A UN CONE. LE CHAPITRE 2 EST CONSACRE AUX QUESTIONS DE DUALITE. ON MONTRE QUE DE NOMBREUSES RELATIONS EXISTANT DANS LE CAS SCALAIRE ENTRE LE PROBLEME PRIMAL ET LE PROBLEME DUAL RESTENT VRAIES DANS LE CADRE MULTICRITERE. PLUSIEURS NOUVEAUX RESULTATS EN DUALITE GENERALE, DE FENCHEL ET LAGRANGIENNE SONT ETABLIS. LES PROBLEMES DE STABILITE OCCUPENT UNE PLACE IMPORTANTE EN OPTIMISATION ET SONT TRAITES DANS UN CADRE MULTICRITERE AVEC DES PREFERENCES MOBILES AU CHAPITRE 3. LE CHAPITRE 4 EST CONSACRE A LA RECHERCHE DE L'ENSEMBLE EFFICIENT. ON PROPOSE POUR CELA UNE GENERALISATION DES METHODES DE DESCENTE, PUIS, DANS LE CAS LINEAIRE, ON PRESENTE UN ALGORITHME SPECIFIQUE, QUI PERMET D'OBTENIR TOUS LES POINTS EFFICIENTS. LE DERNIER CHAPITRE TRAITE DES GAMMA-INEGALITES QUI PERMETTENT D'OBTENIR DES RESULTATS DE STABILITE POUR DE NOMBREUSES OPERATIONS MATHEMATIQUES ET QUI SONT EN PARTICULIER APPLICABLES EN OPTIMISATION MULTICRITERE
Author: Nicolae Popovici
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Author: Christophe Durousseau
Publisher:
ISBN:
Category :
Languages : fr
Pages : 67
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Cette thèse est composée de cinq chapitres, tous liés à lanalyse convexe. Nous étudions pour commencer la convergence "slice" d'une suite de fonctions à l'aide de la convergence de leurs sous-différentiels...Nous terminons en établissant des résultats liés au sous-différentiel régulier d'une fonction vectorielle et nous présentons des propriétés du sous-différentiel vectoriel d'une application multivoque par laméthode de scalarisation.
Author: Nicolae Popovici
Publisher:
ISBN:
Category :
Languages : fr
Pages : 68
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LA THESE COMPORTE TROIS CHAPITRES ET RECOUVRE PLUSIEURS SUJETS DE L'OPTIMISATION VECTORIELLE: L'APPROXIMATION DE POINTS EFFICIENTS DANS LES ESPACES NORMES ORDONNES, LA STRUCTURE ALGEBRIQUE ET TOPOLOGIQUE DES ENSEMBLES D'EFFICIENCE ASSOCIEES A DES OBJECTIFS QUASICONVEXES AU SENS GENERALISE, LA LOCALISATION DANS LES ESPACES METRIQUES, LA PROGRAMMATION A DEUX CRITERES LINEAIRES-FRACTIONNAIRES ET LA PROGRAMMATION UNIDIMENSIONELLE A PLUSIEURS CRITERES UNIMODAUX. LES METHODES EMPLOYEES DANS LA PLUPART DES CAS, S'APPUIENT SUR DE NOUVELLES NOTIONS INTRODUITES DANS LE COURS DE LA THESE, COMME PAR EXEMPLE: L'ECART D'EFFICIENCE DANS LES ESPACES NORMES ORDONNES, LA CONVEXITE AU SENS DIRECT OU INVERSE D'UNE FONCTION VECTORIELLE, ET L'ENVELOPPE FAIBLE DANS LES ESPACES METRIQUES
Author: Reiner Horst
Publisher: Springer Science & Business Media
ISBN: 366203199X
Category : Business & Economics
Languages : en
Pages : 735
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Book Description
The main contents and character of the monograph did not change with respect to the first edition. However, within most chapters we incorporated quite a number of modifications which take into account the recent development of the field, the very valuable suggestions and comments that we received from numerous colleagues and students as well as our own experience while using the book. Some errors and misprints in the first edition are also corrected. Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years aga would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro perties. Aside from a coherent view of the field much new material is presented.
Author: Arij Bouzelmate
Publisher: Springer Nature
ISBN: 303167264X
Category :
Languages : en
Pages : 161
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Author:
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 652
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Author: Johannes Jahn
Publisher: Springer Science & Business Media
ISBN: 3540248285
Category : Business & Economics
Languages : en
Pages : 471
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Book Description
In vector optimization one investigates optimal elements such as min imal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space. The prob lem of determining at least one of these optimal elements, if they exist at all, is also called a vector optimization problem. Problems of this type can be found not only in mathematics but also in engineer ing and economics. Vector optimization problems arise, for exam ple, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland's variational principle), multiobjective pro gramming, multi-criteria decision making, statistics (Bayes solutions, theory of tests, minimal covariance matrices), approximation theory (location theory, simultaneous approximation, solution of boundary value problems) and cooperative game theory (cooperative n player differential games and, as a special case, optimal control problems). In the last decade vector optimization has been extended to problems with set-valued maps. This new field of research, called set optimiza tion, seems to have important applications to variational inequalities and optimization problems with multivalued data. The roots of vector optimization go back to F. Y. Edgeworth (1881) and V. Pareto (1896) who has already given the definition of the standard optimality concept in multiobjective optimization. But in mathematics this branch of optimization has started with the leg endary paper of H. W. Kuhn and A. W. Tucker (1951). Since about v Vl Preface the end of the 60's research is intensively made in vector optimization.
Author: Petra Perner
Publisher: Springer
ISBN: 3642397123
Category : Computers
Languages : en
Pages : 671
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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Machine Learning and Data Mining in Pattern Recognition, MLDM 2013, held in New York, USA in July 2013. The 51 revised full papers presented were carefully reviewed and selected from 212 submissions. The papers cover the topics ranging from theoretical topics for classification, clustering, association rule and pattern mining to specific data mining methods for the different multimedia data types such as image mining, text mining, video mining and web mining.
Author: Gianni Di Pillo
Publisher: Springer Science & Business Media
ISBN: 9781402075322
Category : Business & Economics
Languages : en
Pages : 434
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Book Description
The chapters included in this volume, which are authored by some of the most well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints: theoretical analysis, algorithmic developments, software evaluation, implementation issues, and applications. Audience: This volume would be useful to researchers and professionals working in applied mathematics, advanced engineering, computer sciences, as well as graduate students.
