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Optimisation Combinatoire Graphes Et Programmation Lineaire
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Book Synopsis Optimisation combinatoire: Graphes et programmation linéaire by : Michel Sakarovitch
Download or read book Optimisation combinatoire: Graphes et programmation linéaire written by Michel Sakarovitch and published by Editions Hermann. This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: "L'optimisation combinatoire traite des problèmes - apparemment dépourvus de mystère - dans lesquels on a à extraire un "meilleur" élément (de coût minimum, par exemple) d'un ensemble fini. Un instant de réflexion montre que la plupart des problèmes concrets d'optimisation appartiennent effectivement à cette classe ou peuvent se formuler de cette manière. Quoique fini, l'ensemble objet de l'étude comporte en général un grand nombre d'éléments (par rapport au nombre de données du problème). C'est ce phénomène qui, en interdisant la solution par énumération de toutes les solutions possibles, rend la problématique de l'optimisation combinatoire non triviale : on est amené à mettre en évidence certaines structures du modèle étudiées et à élaborer différentes méthodes de solution. Cet ouvrage présente l'ensemble de ces techniques très diverses [...]. Ce premier volume es un traité des deux disciplines fondamentales de l'optimisation combinatoire : la théorie des graphes, moyen puissant d'investigation des structures combinatoires et la programmation linéaire, outil de modélisation d'un grand nombre de situations concretes ayant suscité la création d'une technique algorithmique - la méthode du simplexe - d'une grande richesse conceptuelle et d'une extraordinaire efficacité pratique. [...]"
Book Synopsis Optimisation combinatoire by : Michel Sakarovitch
Download or read book Optimisation combinatoire written by Michel Sakarovitch and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Méthodes d'optimisation combinatoire by : Irène Charon
Download or read book Méthodes d'optimisation combinatoire written by Irène Charon and published by Elsevier Masson. This book was released on 1996 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage propose une introduction aux méthodes généralement utilisées dans le domaine de l'optimisation combinatoire. Son objectif est double : proposer un ensemble de modélisations classiques, à l'aide principalement de la théorie des graphes et de la programmation linéaire; décrire un ensemble de méthodes exactes ou approchées pour résoudre les problèmes d'optimisation ainsi modélisés. Composé de trois parties (programmation linéaire, algorithmes dans les graphes, méthodes d'optimisation combinatoire), l'ouvrage propose de nombreux exercices, tous corrigés. Issu d'un cours de première et deuxième années de l'école Nationale Supérieure des Télécommunications, il s'adresse aux élèves des écoles d'ingénieurs, aux étudiants de deuxième cycle, ainsi qu'à tous ceux (ingénieurs, chercheurs... ) qui souhaitent se familiariser avec les méthodes d'optimisation combinatoire le plus souvent utilisées.
Book Synopsis Techniques d'optimisation by : Max Cerf
Download or read book Techniques d'optimisation written by Max Cerf and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage en deux tomes propose un panorama des techniques d'optimisation continue, discrète et fonctionnelle. Ce deuxième tome est consacré à l'optimisation discrète (problèmes à variables entières) et à l'optimisation fonctionnelle (problèmes dont l'inconnue est une fonction). Les thèmes abordés sont : la programmation linéaire mixte : méthodes de coupes et méthodes arborescentes ; l'optimisation combinatoire basée sur les graphes : problèmes de chemin, de flot, d'affectation... ; le calcul des variations basé sur les conditions d'Euler-Lagrange et leurs extensions ; la commande optimale basée sur le principe du maximum de Pontryaguin et ses extensions ; les méthodes numériques : équations différentielles, méthodes directes et indirectes. L'accent est mis sur la compréhension des principes plutôt que sur la rigueur mathématique. Chaque notion ou algorithme est accompagné d'un exemple détaillé aidant à s'approprier les idées principales. Cet ouvrage issu de 30 années d'expérience s'adresse aux étudiants, chercheurs et ingénieurs désireux d'acquérir une culture générale dans le domaine de l'optimisation.
Book Synopsis Optimisation combinatoire: Programmation discrète by : Michel Sakarovitch
Download or read book Optimisation combinatoire: Programmation discrète written by Michel Sakarovitch and published by Editions Hermann. This book was released on 1984 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Programmation Linéaire, Complexité by : Jean F. Maurras
Download or read book Programmation Linéaire, Complexité written by Jean F. Maurras and published by Springer Science & Business Media. This book was released on 2002-07-27 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le but de cet ouvrage est de faire une présentation complète et auto contenue de l'équivalence entre les Oracles Séparer, Optimiser et Appartenir en Optimisation Polyédrale.
Book Synopsis APPROXIMATION DE PROGRAMMES QUADRATIQUES EN 0-1 SOUMIS A DES CONTRAINTES LINEAIRES. APPLICATION AUX PROBLEMES DE PLACEMENT ET DE PARTITION DE GRAPHES by : FREDERIC.. ROUPIN
Download or read book APPROXIMATION DE PROGRAMMES QUADRATIQUES EN 0-1 SOUMIS A DES CONTRAINTES LINEAIRES. APPLICATION AUX PROBLEMES DE PLACEMENT ET DE PARTITION DE GRAPHES written by FREDERIC.. ROUPIN and published by . This book was released on 1996 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE PROBLEME DE PLACEMENT DE TACHES DANS UN SYSTEME DISTRIBUE SANS CONTRAINTES DE CAPACITE SUR LES PROCESSEURS ET AVEC COUTS DE COMMUNICATION UNIFORMES EST ETUDIE EN DETAIL, ET DEUX NOUVEAUX ALGORITHMES APPROCHES AVEC GARANTIES DE PERFORMANCE SONT PROPOSES POUR SA RESOLUTION. LE PREMIER EST FONDE SUR LA NOTION DE COUPE ISOLANTE DANS UN GRAPHE DE STONE, ALORS QUE LE DEUXIEME UTILISE LA PROGRAMMATION LINEAIRE CONTINUE. POUR LE PROBLEME PLUS GENERAL AVEC CONTRAINTES DE CAPACITE, IL EST DEMONTRE POUR PLUSIEURS VARIANTES QU'AUCUN ALGORITHME S'EXECUTANT EN TEMPS POLYNOMIAL NE PEUT PRESENTER DE GARANTIES DE PERFORMANCE SANS QUE P=NP. DEUXIEMEMENT, UNE NOUVELLE METHODE GENERALE DE CONSTRUCTION D'ALGORITHMES EPSILON-APPROCHES POUR LES PROBLEMES DE MAXIMISATION QUADRATIQUES EN 0-1 SOUMIS A DES CONTRAINTES LINEAIRES EST EXPOSEE. ELLE EST FONDEE SUR L'UTILISATION DE LA PROGRAMMATION LINEAIRE CONTINUE, ET EST APPLIQUEE AVEC SUCCES A PLUSIEURS PROBLEMES CLASSIQUES DE L'OPTIMISATION COMBINATOIRE (MAXIMISATION D'UNE POSIFORME QUADRATIQUE SANS CONTRAINTES, UN PROBLEME DE PLACEMENT NE COMPORTANT QUE DES GAINS, K-MAX-CUT, K-CLUSTER POUR LES GRAPHES BIPARTIS, ET LA BIPARTITION D'UN GRAPHE). ENFIN, DEUX NOUVELLES HEURISTIQUES POUR LA RESOLUTION DES PROGRAMMES QUADRATIQUES CONTINUS SOUMIS A DES CONTRAINTES LINEAIRES SONT PROPOSEES. LEUR PRINCIPE COMMUN EST UNE REDUCTION DE LA FONCTION QUADRATIQUE INITIALE EN FONCTIONS LINEAIRES PAR FIXATION ALTERNEE DE GROUPES DE VARIABLES. EN UTILISANT LA RELAXATION CONTINUE DU PROGRAMME QUADRATIQUE EN 0-1 ASSOCIE AU PROBLEME DE PLACEMENT DE TACHES DANS UN SYSTEME DISTRIBUE, DEUX ALGORITHMES PERFORMANTS ONT ETE OBTENUS. LES TESTS COMPARATIFS EFFECTUES AVEC LE RECUIT SIMULE MONTRENT QUE NOS HEURISTIQUES SONT BEAUCOUP PLUS RAPIDES ET FOURNISSENT DES RESULTATS D'AUSSI BONNE QUALITE
Book Synopsis Eléments de programmation linéaire avec application aux graphes by : Dominique de Werra
Download or read book Eléments de programmation linéaire avec application aux graphes written by Dominique de Werra and published by PPUR. This book was released on 1990 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Concepts of Combinatorial Optimization by : Vangelis Th. Paschos
Download or read book Concepts of Combinatorial Optimization written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2014-09-09 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Book Synopsis Programming in Networks and Graphs by : Ulrich Derigs
Download or read book Programming in Networks and Graphs written by Ulrich Derigs and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed. These algorithms are usually classified as primal, dual, primal-dual etc. The question the author addresses in this work is that of the existence of a common combinatorial principle which might be inherent in all those apparently different approaches. It is shown that all common network flow and matching algorithms implicitly follow the so-called shortest augmenting path. This can be interpreted as a greedy-like decision rule where the optimal solution is built up through a sequence of local optimal solutions. The efficiency of this approach is realized by combining this myopic decision rule with an anticipant organization. The approach of this work is organized as follows. For several standard flow and matching problems the common solution procedures are first reviewed. It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule. Recognizing this near-equivalence of all commonly used algorithms the question of the best method has to be modified - all methods are (only) different implementations of the same algorithm obtained by different views of the problem.
Book Synopsis Graphs, Algorithms, and Optimization, Second Edition by : William Kocay
Download or read book Graphs, Algorithms, and Optimization, Second Edition written by William Kocay and published by CRC Press. This book was released on 2016-11-03 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?
Book Synopsis Concepts of Combinatorial Optimization, Volume 1 by : Vangelis Th. Paschos
Download or read book Concepts of Combinatorial Optimization, Volume 1 written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Book Synopsis Integer Programming and Related Areas by : Rabe v. Randow
Download or read book Integer Programming and Related Areas written by Rabe v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.
Book Synopsis Discrete Mathematics by : Jean Gallier
Download or read book Discrete Mathematics written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
Book Synopsis Cahiers by : Centre d'études de recherche operationnelle
Download or read book Cahiers written by Centre d'études de recherche operationnelle and published by . This book was released on 1984 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay
Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2017-09-20 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.
Book Synopsis Techniques d'optimisation - Tome 2 by : Max Cerf
Download or read book Techniques d'optimisation - Tome 2 written by Max Cerf and published by EDP Sciences. This book was released on 2022-12-01T00:00:00+01:00 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage en deux tomes propose un panorama des techniques d’optimisation continue, discrète et fonctionnelle. Ce deuxième tome est consacré à l’optimisation discrète (problèmes à variables entières) et à l’optimisation fonctionnelle (problèmes dont l’inconnue est une fonction). Les thèmes abordés sont : - la programmation linéaire mixte : méthodes de coupes et méthodes arborescentes ; l’optimisation combinatoire basée sur les graphes : problèmes de chemin, de flot, d’affectation ... ; le calcul des variations basé sur les conditions d’Euler-Lagrange et leurs extensions ; - la commande optimale basée sur le principe du maximum de Pontryaguin et ses extensions ; - les méthodes numériques : équations différentielles, méthodes directes et indirectes. L’accent est mis sur la compréhension des principes plutôt que sur la rigueur mathématique. Chaque notion ou algorithme est accompagné d’un exemple détaillé aidant à s’approprier les idées principales. Cet ouvrage issu de 30 années d’expérience s’adresse aux étudiants, chercheurs et ingénieurs désireux d’acquérir une culture générale dans le domaine de l’optimisation.
