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Computational Combinatorial Optimization

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Author by : Michael Jünger
Languange Used : en
Release Date : 2003-06-30
Publisher by : Springer

ISBN : 9783540455868

This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality....

Computational Combinatorial Optimization

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Author by : Michael Jünger
Languange Used : en
Release Date : 2001-11-21
Publisher by : Springer

ISBN : 3540428771

Evolutionary Computation In Combinatorial Optimization

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Author by : Peter Merz
Languange Used : en
Release Date : 2011-04-19
Publisher by : Springer Science & Business Media

ISBN : 9783642203633

This book constitutes the refereed proceedings of the 11th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2011, held in Torino, Italy, in April 2011. The 22 revised full papers presented were carefully reviewed and selected from 42 submissions. The papers present the latest research and discuss current developments and applications in metaheuristics - a paradigm to effectively solve difficult combinatorial optimization problems appearing in various industrial, economical, and scientific domains. Prominent examples of metaheuristics are evolutionary algorithms, simulated annealing, tabu search, scatter search, memetic algorithms, variable neighborhood search, iterated local search, greedy randomized adaptive search procedures, estimation of distribution algorithms, and ant colony optimization....

Bioinspired Computation In Combinatorial Optimization

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Author by : Frank Neumann
Languange Used : en
Release Date : 2010-11-04
Publisher by : Springer Science & Business Media

ISBN : 9783642165443

Bioinspired computation methods such as evolutionary algorithms and ant colony optimization are being applied successfully to complex engineering problems and to problems from combinatorial optimization, and with this comes the requirement to more fully understand the computational complexity of these search heuristics. This is the first textbook covering the most important results achieved in this area. The authors study the computational complexity of bioinspired computation and show how runtime behavior can be analyzed in a rigorous way using some of the best-known combinatorial optimization problems -- minimum spanning trees, shortest paths, maximum matching, covering and scheduling problems. A feature of the book is the separate treatment of single- and multiobjective problems, the latter a domain where the development of the underlying theory seems to be lagging practical successes. This book will be very valuable for teaching courses on bioinspired computation and combinatorial optimization. Researchers will also benefit as the presentation of the theory covers the most important developments in the field over the last 10 years. Finally, with a focus on well-studied combinatorial optimization problems rather than toy problems, the book will also be very valuable for practitioners in this field....

Combinatorial Optimization

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Author by : Christos H. Papadimitriou
Languange Used : en
Release Date : 1998-01-01
Publisher by : Courier Corporation

ISBN : 9780486402581

Clearly written graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; approximation algorithms, local search heuristics for NP-complete problems, more. "Mathematicians wishing a self-contained introduction need look no further." — American Mathematical Monthly. 1982 edition....

Data Correcting Approaches In Combinatorial Optimization

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Author by : Boris Goldengorin
Languange Used : en
Release Date : 2012-10-11
Publisher by : Springer Science & Business Media

ISBN : 9781461452850

Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems. Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find which element of the corrected instance one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems....

Evolutionary Computation In Combinatorial Optimization

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Author by : Günther R. Raidl
Languange Used : en
Release Date : 2005-03-21
Publisher by : Springer Science & Business Media

ISBN : 9783540253372

This book constitutes the refereed proceedings of the 5th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2005, held in Lausanne, Switzerland in March/April 2005. The 24 revised full papers presented were carefully reviewed and selected from 66 submissions. The papers cover evolutionary algorithms as well as related approaches like scatter search, simulated annealing, ant colony optimization, immune algorithms, variable neighborhood search, hyperheuristics, and estimation of distribution algorithms. The papers deal with representations, analysis of operators and fitness landscapes, and comparison algorithms. Among the combinatorial optimization problems studied are graph coloring, quadratic assignment, knapsack, graph matching, packing, scheduling, timetabling, lot-sizing, and the traveling salesman problem....

Recent Advances In Evolutionary Computation For Combinatorial Optimization

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Author by : Carlos Cotta
Languange Used : en
Release Date : 2008-08-26
Publisher by : Springer Science & Business Media

ISBN : 9783540708063

This cutting-edge volume presents recent advances in the area of metaheuristic combinatorial optimisation, with a special focus on evolutionary computation methods. Moreover, it addresses local search methods and hybrid approaches....

Evolutionary Computation In Combinatorial Optimization

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Author by : Christine Zarges
Languange Used : en
Release Date : 2021-03-27
Publisher by : Springer

ISBN : 3030729036

This book constitutes the refereed proceedings of the 21st European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2021, held as part of Evo*2021, as Virtual Event, in April 2021, co-located with the Evo*2021 events: EvoMUSART, EvoApplications, and EuroGP. The 14 revised full papers presented in this book were carefully reviewed and selected from 42 submissions. They cover a wide spectrum of topics, ranging from the foundations of evolutionary algorithms and other search heuristics to their accurate design and application to combinatorial optimization problems. Fundamental and methodological aspects deal with runtime analysis, the structural properties of fitness landscapes, the study of core components of metaheuristics, the clever design of their search principles, and their careful selection and configuration. Applications cover problem domains such as scheduling, routing, search-based software engineering and general graph problems. The range of topics covered in this volume reflects the current state of research in the fields of evolutionary computation and combinatorial optimization....

Applications Of Combinatorial Optimization

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Author by : Vangelis Th. Paschos
Languange Used : en
Release Date : 2014-08-08
Publisher by : John Wiley & Sons

ISBN : 9781119015246

Combinatorial optimization is a multidisciplinary scientific area,lying in the interface of three major scientific domains:mathematics, theoretical computer science and management. Thethree volumes of the Combinatorial Optimization series aim to covera wide range of topics in this area. These topics also dealwith fundamental notions and approaches as with several classicalapplications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided intothree parts: - On the complexity of combinatorial optimization problems,presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methodsfor solving hard combinatorial optimization problems, that areBranch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentalsfrom mathematical programming based methods that are in the heartof Operations Research since the origins of this field....