Differential Evolution A Handbook for Global Permutation Based Combinatorial Optimization

Author: Godfrey C. Onwubolu
Publisher: Springer Science & Business Media
ISBN: 9783540921509
Release Date: 2009-01-13
Genre: Computers

This is the first book devoted entirely to Differential Evolution (DE) for global permutative-based combinatorial optimization. Since its original development, DE has mainly been applied to solving problems characterized by continuous parameters. This means that only a subset of real-world problems could be solved by the original, classical DE algorithm. This book presents in detail the various permutative-based combinatorial DE formulations by their initiators in an easy-to-follow manner, through extensive illustrations and computer code. It is a valuable resource for professionals and students interested in DE in order to have full potentials of DE at their disposal as a proven optimizer. All source programs in C and Mathematica programming languages are downloadable from the website of Springer.

Handbook of Combinatorial Optimization

Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 9781475730234
Release Date: 2013-03-14
Genre: Mathematics

Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

Combinatorial Optimization

Author: William J. Cook
Publisher: John Wiley & Sons
ISBN: 9781118031391
Release Date: 2011-09-30
Genre: Mathematics

A complete, highly accessible introduction to one of today's mostexciting areas of applied mathematics One of the youngest, most vital areas of applied mathematics,combinatorial optimization integrates techniques fromcombinatorics, linear programming, and the theory of algorithms.Because of its success in solving difficult problems in areas fromtelecommunications to VLSI, from product distribution to airlinecrew scheduling, the field has seen a ground swell of activity overthe past decade. Combinatorial Optimization is an ideal introduction to thismathematical discipline for advanced undergraduates and graduatestudents of discrete mathematics, computer science, and operationsresearch. Written by a team of recognized experts, the text offersa thorough, highly accessible treatment of both classical conceptsand recent results. The topics include: * Network flow problems * Optimal matching * Integrality of polyhedra * Matroids * NP-completeness Featuring logical and consistent exposition, clear explanations ofbasic and advanced concepts, many real-world examples, and helpful,skill-building exercises, Combinatorial Optimization is certain tobecome the standard text in the field for many years to come.

Combinatorial Optimization and Applications

Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 9783642020254
Release Date: 2009-05-25
Genre: Computers

TheThirdAnnualInternationalConferenceonCombinatorialOptimizationand Applications, COCOA2009, tookplace in Huangshan, China, June 10 12,2009. Past COCOA conferences were held in Xi an, China (2007) and Newfoundland, Canada (2008). COCOA2009providedaforumforresearchersworkingintheareasofcom- natorial optimization and its applications. In addition to theoretical results, the conference is particularly focused on recent works on experimental and applied research of general algorithmic interest. The Program Committee received 103 submissions from 17 countries and regions: Brazil, Canada, China, Denmark, France, Germany, Hong Kong, India, Italy, Japan, Korea, Malaysia, Poland, Switzerland, Taiwan, UK, and USA. Among the 103 submissions, 50 papers were selected for presentation at the conference and are included in this volume. Some of these will be selected for publicationinaspecialissueofJournalof Combinatorial Optimization, aspecial issue of Theoretical Computer Science, and a special issue of Discrete Mat- matics, Algorithms and Applications under the standard refereeing procedure. In addition to the selected papers, the conference also included one invited p- sentation by Panos M. Pardalos (University of Florida, USA). We thank the authors for submitting their papers to the conference. We are grateful to the members of the Program Committee and the external referees for their work within demanding time constraints. We thank the Organizing Committee for their contribution to make the conference a success. We also thank Donghyun Kim for helping us create and update the conference website and maintain the Springer Online Conference Service system."

Applications of Combinatorial Optimization

Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
ISBN: 9781118600115
Release Date: 2013-02-07
Genre: Mathematics

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 aimsto cover a wide range of topics in this area. These topics alsodeal with fundamental notions and approaches as with severalclassical applications of combinatorial optimization. “Applications of Combinatorial Optimization” ispresenting a certain number among the most common and well-knownapplications of Combinatorial Optimization.

Combinatorial Optimization

Author: Bernhard Korte
Publisher: Springer Science & Business Media
ISBN: 9783540718444
Release Date: 2007-11-04
Genre: Mathematics

Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete but concise proofs, also for many deep results, some of which have not appeared in print before. Recent topics are covered as well, and numerous references are provided. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.

Mathematical Combinatorics Vol 3 2010

Author: Linfan Mao
Publisher: Infinite Study
ISBN: 9781599731308
Release Date: 2010
Genre:

The Mathematical Combinatorics (International Book Series)(ISBN 978-1-59973-146-9) is a fully refereed international book series, sponsored by the MADISof Chinese Academy of Sciences and published in USA quarterly comprising 100-150 pagesapprox. per volume, which publishes original research papers and survey articles in all aspectsof Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics,non-euclidean geometry and topology and their applications to other sciences. Topics in detailto be covered are:Smarandache multi-spaces with applications to other sciences, such as those of algebraicmulti-systems, multi-metric spaces,· · · , etc.. Smarandache geometries;Differential Geometry; Geometry on manifolds;Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph andmap enumeration; Combinatorial designs; Combinatorial enumeration;Low Dimensional Topology; Differential Topology; Topology of Manifolds;Geometrical aspects of Mathematical Physics and Relations with Manifold Topology;Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatoricsto mathematics and theoretical physics;Mathematical theory on gravitational fields; Mathematical theory on parallel universes;Other applications of Smarandache multi-space and combinatorics.Generally, papers on mathematics with its applications not including in above topics arealso welcome.

Kombinatorische Optimierung

Author: Bernhard Korte
Publisher: Springer-Verlag
ISBN: 9783540769194
Release Date: 2008-08-19
Genre: Mathematics

Das Lehrbuch ist die deutsche Übersetzung der 4., wesentlich erweiterten Auflage des Titels „Combinatorial Optimization – Theory and Algorithms". Es gibt den neuesten Stand der kombinatorischen Optimierung wieder und liefert vornehmlich theoretische Resultate und Algorithmen mit beweisbar guten Laufzeiten und Ergebnissen, jedoch keine Heuristiken. Enthalten sind vollständige Beweise, auch für viele tiefe und neue Resultate, von denen einige bisher in der Lehrbuchliteratur noch nicht erschienen sind. Mit Übungen und umfassendem Literaturverzeichnis.

Local Search in Combinatorial Optimization

Author: Emile Aarts
Publisher: Princeton University Press
ISBN: 0691115222
Release Date: 2003-08-03
Genre: Computers

In the past three decades, local search has grown from a simple heuristic idea into a mature field of research in combinatorial optimization that is attracting ever-increasing attention. Local search is still the method of choice for NP-hard problems as it provides a robust approach for obtaining high-quality solutions to problems of a realistic size in reasonable time. Local Search in Combinatorial Optimization covers local search and its variants from both a theoretical and practical point of view, each topic discussed by a leading authority. This book is an important reference and invaluable source of inspiration for students and researchers in discrete mathematics, computer science, operations research, industrial engineering, and management science. In addition to the editors, the contributors are Mihalis Yannakakis, Craig A. Tovey, Jan H. M. Korst, Peter J. M. van Laarhoven, Alain Hertz, Eric Taillard, Dominique de Werra, Heinz Mühlenbein, Carsten Peterson, Bo Söderberg, David S. Johnson, Lyle A. McGeoch, Michel Gendreau, Gilbert Laporte, Jean-Yves Potvin, Gerard A. P. Kindervater, Martin W. P. Savelsbergh, Edward J. Anderson, Celia A. Glass, Chris N. Potts, C. L. Liu, Peichen Pan, Iiro Honkala, and Patric R. J. Östergård.

Constrained Optimization and Image Space Analysis

Author: Franco Giannessi
Publisher: Springer Science & Business Media
ISBN: 9780387280202
Release Date: 2006-10-27
Genre: Mathematics

Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers. Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light. It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalities and Complementarity Problems. The applications benefit from a unified theory.

Recent Advances in Swarm Intelligence and Evolutionary Computation

Author: Xin-She Yang
Publisher: Springer
ISBN: 9783319138268
Release Date: 2014-12-27
Genre: Computers

This timely review volume summarizes the state-of-the-art developments in nature-inspired algorithms and applications with the emphasis on swarm intelligence and bio-inspired computation. Topics include the analysis and overview of swarm intelligence and evolutionary computation, hybrid metaheuristic algorithms, bat algorithm, discrete cuckoo search, firefly algorithm, particle swarm optimization, and harmony search as well as convergent hybridization. Application case studies have focused on the dehydration of fruits and vegetables by the firefly algorithm and goal programming, feature selection by the binary flower pollination algorithm, job shop scheduling, single row facility layout optimization, training of feed-forward neural networks, damage and stiffness identification, synthesis of cross-ambiguity functions by the bat algorithm, web document clustering, truss analysis, water distribution networks, sustainable building designs and others. As a timely review, this book can serve as an ideal reference for graduates, lecturers, engineers and researchers in computer science, evolutionary computing, artificial intelligence, machine learning, computational intelligence, data mining, engineering optimization and designs.

Combinatorial Optimization and Applications

Author: Andreas Dress
Publisher: Springer Science & Business Media
ISBN: 9783540735557
Release Date: 2007-07-25
Genre: Computers

The papers in this volume were presented at the 1st International Conference on Combinatorial Optimization and Applications (COCOA 2007), held August 12-15, 2007, in Xi'an, China. The topics cover most areas in combinatorial op- mization and applications. Submissions to the conference this year were conducted electronically. A - tal of 114 papers were submitted, of which 29 were accepted. The papers were evaluated by an International Program Committee consisting of Tetsuo Asano, Kyung-Yong Chwa, Bill Chen, Bo Chen, Andreas Dress, Pater Eades, Omer Egecioglu, Rudolf Fleischer, Bin Fu, Mordecai Golin, Ron Graham, Pavol Hell, Xiao-Dong Hu, Marek Karpinski, Minghui Jiang, Michael Langston, Hanno L- mann, Ko-Wei Lih, Andy Mirzaian, Brendan Mumey, Mauricio G.C. Resende, Takao Nishizeki, Mike Steel, Zheng Sun, My T. Thai, Kanliang Wang, Michael Waterman, Gerhard Woeginger, Yinfeng Xu, Boting Yang, Wenan Zang, Alex Zelikovsky and Binhai Zhu. It is expected that most of the accepted papers will appear in a more complete form in scienti'c journals. The submitted papers are from Australia, Canada, China, France, Germany, Greece, Hong Kong, Japan, Korea, Mexico, Poland, Romania, Russia, Switz- land, Tunisia, Turkey and USA. Each paper was evaluated by at least two P- gram Committee members (and in some cases by as many as seven Program Committee members), assisted in some cases by subreferees. In addition to - lected papers, the conference also included two invited presentations, by Bailin Hao and Kurt Mehlhorn, and eight invited papers.

Combinatorial Optimization

Author: Pierre Fouilhoux
Publisher: Springer
ISBN: 9783319091747
Release Date: 2014-07-21
Genre: Computers

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Symposium on Combinatorial Optimization, ISCO 2014, held in Lisbon, Portugal, in March 2014. The 37 revised full papers presented together with 64 short papers were carefully reviewed and selected from 97 submissions. They present original research on all aspects of combinatorial optimization, such as algorithms and complexity; mathematical programming; operations research; stochastic optimization; graphs and combinatorics.