Handbook of optimization: from classical to modern approach
<p>Optimization problems were and still are the focus of mathematics from antiquity to the present. Since the beginning of our civilization, the human race has had to confront numerous technological challenges, such as finding the optimal solution of various problems including control technolo...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Intelligent systems reference library
38 |
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| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Zusammenfassung: | <p>Optimization problems were and still are the focus of mathematics from antiquity to the present. Since the beginning of our civilization, the human race has had to confront numerous technological challenges, such as finding the optimal solution of various problems including control technologies, power sources construction, applications in economy, mechanical engineering and energy distribution amongst others. These examples encompass both ancient as well as modern technologies like the first electrical energy distribution network in USA etc. Some of the key principles formulated in the middle ages were done by Johannes Kepler (Problem of the wine barrels), Johan Bernoulli (brachystochrone problem), Leonhard Euler (Calculus of Variations), Lagrange (Principle multipliers), that were formulated primarily in the ancient world and are of a geometric nature. In the beginning of the modern era, works of L.V. Kantorovich and G.B. Dantzig (so-called linear programming) can be considered amongst others. This book discusses a wide spectrum of optimization methods from classical to modern, alike heuristics. Novel as well as classical techniques is also discussed in this book, including its mutual intersection. Together with many interesting chapters, a reader will also encounter various methods used for proposed optimization approaches, such as game theory and evolutionary algorithms or modelling of evolutionary algorithm dynamics like complex networks. </p><p> </p> |
| Beschreibung: | Classical methods - theory -- Classical methods - Applications -- Heuristics - Theory -- Heuristics - Applications |
| Beschreibung: | 1 Online-Ressource (XII, 1100 p. 460 illus) |
| ISBN: | 9783642305047 |
| DOI: | 10.1007/978-3-642-30504-7 |
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Datensatz im Suchindex
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| adam_text | HANDBOOK OF OPTIMIZATION
/
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CLASSICAL METHODS - THEORY
CLASSICAL METHODS - APPLICATIONS
HEURISTICS - THEORY
HEURISTICS - APPLICATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
HANDBOOK OF OPTIMIZATION
/
: 2013
ABSTRACT / INHALTSTEXT
OPTIMIZATION PROBLEMS WERE AND STILL ARE THE FOCUS OF MATHEMATICS FROM
ANTIQUITY TO THE PRESENT. SINCE THE BEGINNING OF OUR CIVILIZATION, THE
HUMAN RACE HAS HAD TO CONFRONT NUMEROUS TECHNOLOGICAL CHALLENGES, SUCH
AS FINDING THE OPTIMAL SOLUTION OF VARIOUS PROBLEMS INCLUDING CONTROL
TECHNOLOGIES, POWER SOURCES CONSTRUCTION, APPLICATIONS IN ECONOMY,
MECHANICAL ENGINEERING AND ENERGY DISTRIBUTION AMONGST OTHERS. THESE
EXAMPLES ENCOMPASS BOTH ANCIENT AS WELL AS MODERN TECHNOLOGIES LIKE THE
FIRST ELECTRICAL ENERGY DISTRIBUTION NETWORK IN USA ETC. SOME OF THE KEY
PRINCIPLES FORMULATED IN THE MIDDLE AGES WERE DONE BY JOHANNES KEPLER
(PROBLEM OF THE WINE BARRELS), JOHAN BERNOULLI (BRACHYSTOCHRONE
PROBLEM), LEONHARD EULER (CALCULUS OF VARIATIONS), LAGRANGE (PRINCIPLE
MULTIPLIERS), THAT WERE FORMULATED PRIMARILY IN THE ANCIENT WORLD AND
ARE OF A GEOMETRIC NATURE. IN THE BEGINNING OF THE MODERN ERA, WORKS OF
L.V. KANTOROVICH AND G.B. DANTZIG (SO-CALLED LINEAR PROGRAMMING) CAN BE
CONSIDERED AMONGST OTHERS. THIS BOOK DISCUSSES A WIDE SPECTRUM OF
OPTIMIZATION METHODS FROM CLASSICAL TO MODERN, ALIKE HEURISTICS. NOVEL
AS WELL AS CLASSICAL TECHNIQUES IS ALSO DISCUSSED IN THIS BOOK,
INCLUDING ITS MUTUAL INTERSECTION. TOGETHER WITH MANY INTERESTING
CHAPTERS, A READER WILL ALSO ENCOUNTER VARIOUS METHODS USED FOR PROPOSED
OPTIMIZATION APPROACHES, SUCH AS GAME THEORY AND EVOLUTIONARY ALGORITHMS
OR MODELLING OF EVOLUTIONARY ALGORITHM DYNAMICS LIKE COMPLEX NETWORKS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| series | Intelligent systems reference library |
| series2 | Intelligent systems reference library |
| spellingShingle | Handbook of optimization from classical to modern approach Intelligent systems reference library Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Operations research |
| title | Handbook of optimization from classical to modern approach |
| title_auth | Handbook of optimization from classical to modern approach |
| title_exact_search | Handbook of optimization from classical to modern approach |
| title_full | Handbook of optimization from classical to modern approach Ivan Zelinka ... (eds.) |
| title_fullStr | Handbook of optimization from classical to modern approach Ivan Zelinka ... (eds.) |
| title_full_unstemmed | Handbook of optimization from classical to modern approach Ivan Zelinka ... (eds.) |
| title_short | Handbook of optimization |
| title_sort | handbook of optimization from classical to modern approach |
| title_sub | from classical to modern approach |
| topic | Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Operations research |
| topic_facet | Ingenieurwissenschaften Künstliche Intelligenz Engineering Artificial intelligence Operations research |
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