Combinatorial Search

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Combinatorial Algorithms

Author : Donald L. Kreher
Publisher : CRC Press
ISBN 13 : 9780849339882
Total Pages : 346 pages
Book Rating : 4.3/5 (398 download)

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Book Synopsis Combinatorial Algorithms by : Donald L. Kreher

Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 1998-12-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Local Search in Combinatorial Optimization

Author : Emile H. L. Aarts
Publisher : Princeton University Press
ISBN 13 : 9780691115221
Total Pages : 530 pages
Book Rating : 4.1/5 (152 download)

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Book Synopsis Local Search in Combinatorial Optimization by : Emile H. L. Aarts

Download or read book Local Search in Combinatorial Optimization written by Emile H. L. Aarts and published by Princeton University Press. This book was released on 2003-08-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction -- 2. Computational complexity -- 3. Local improvement on discrete structures -- 4. Simulated annealing -- 5. Tabu search -- 6. Genetic algorithms -- 7. Artificial neural networks -- 8. The traveling salesman problem: A case study -- 9. Vehicle routing: Modern heuristics -- 10. Vehicle routing: Handling edge exchanges -- 11. Machine scheduling -- 12. VLSI layout synthesis -- 13. Code design.

Combinatorial Search: From Algorithms to Systems

Author : Youssef Hamadi
Publisher : Springer Science & Business Media
ISBN 13 : 3642414826
Total Pages : 149 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Combinatorial Search: From Algorithms to Systems by : Youssef Hamadi

Download or read book Combinatorial Search: From Algorithms to Systems written by Youssef Hamadi and published by Springer Science & Business Media. This book was released on 2013-10-29 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although they are believed to be unsolvable in general, tractability results suggest that some practical NP-hard problems can be efficiently solved. Combinatorial search algorithms are designed to efficiently explore the usually large solution space of these instances by reducing the search space to feasible regions and using heuristics to efficiently explore these regions. Various mathematical formalisms may be used to express and tackle combinatorial problems, among them the constraint satisfaction problem (CSP) and the propositional satisfiability problem (SAT). These algorithms, or constraint solvers, apply search space reduction through inference techniques, use activity-based heuristics to guide exploration, diversify the searches through frequent restarts, and often learn from their mistakes. In this book the author focuses on knowledge sharing in combinatorial search, the capacity to generate and exploit meaningful information, such as redundant constraints, heuristic hints, and performance measures, during search, which can dramatically improve the performance of a constraint solver. Information can be shared between multiple constraint solvers simultaneously working on the same instance, or information can help achieve good performance while solving a large set of related instances. In the first case, information sharing has to be performed at the expense of the underlying search effort, since a solver has to stop its main effort to prepare and commu nicate the information to other solvers; on the other hand, not sharing information can incur a cost for the whole system, with solvers potentially exploring unfeasible spaces discovered by other solvers. In the second case, sharing performance measures can be done with little overhead, and the goal is to be able to tune a constraint solver in relation to the characteristics of a new instance – this corresponds to the selection of the most suitable algorithm for solving a given instance. The book is suitable for researchers, practitioners, and graduate students working in the areas of optimization, search, constraints, and computational complexity.

Combinatorial Search Problems

Author : Gyula Katona
Publisher : Springer
ISBN 13 : 3709143179
Total Pages : 56 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Combinatorial Search Problems by : Gyula Katona

Download or read book Combinatorial Search Problems written by Gyula Katona and published by Springer. This book was released on 2014-05-04 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Cuckoo Search for Combinatorial Optimization

Author : Aziz Ouaarab
Publisher : Springer Nature
ISBN 13 : 9811538360
Total Pages : 138 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Discrete Cuckoo Search for Combinatorial Optimization by : Aziz Ouaarab

Download or read book Discrete Cuckoo Search for Combinatorial Optimization written by Aziz Ouaarab and published by Springer Nature. This book was released on 2020-03-24 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a literature review of techniques used to pass from continuous to combinatorial space, before discussing a detailed example with individual steps of how cuckoo search (CS) can be adapted to solve combinatorial optimization problems. It demonstrates the application of CS to three different problems and describes their source code. The content is divided into five chapters, the first of which provides a technical description, together with examples of combinatorial search spaces. The second chapter summarizes a diverse range of methods used to solve combinatorial optimization problems. In turn, the third chapter presents a description of CS, its formulation and characteristics. In the fourth chapter, the application of discrete cuckoo search (DCS) to solve three POCs (the traveling salesman problem, quadratic assignment problem and job shop scheduling problem) is explained, focusing mainly on a reinterpretation of the terminology used in CS and its source of inspiration. In closing, the fifth chapter discusses random-key cuckoo search (RKCS) using random keys to represent positions found by cuckoo search in the TSP and QAP solution space.

The Twilight Child

Author : Elizabeth Harris
Publisher :
ISBN 13 : 9780002255776
Total Pages : 265 pages
Book Rating : 4.2/5 (557 download)

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Book Synopsis The Twilight Child by : Elizabeth Harris

Download or read book The Twilight Child written by Elizabeth Harris and published by . This book was released on 1997 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the hot September of 1942, Clare is waiting for the birth of her first child and trying not to miss her husband who is away fighting. The gift of an antique cradle coincides with sinister visions, and Clare realises something is threatening her.

Combinatorial Optimization

Author : Bernhard Korte
Publisher : Springer Science & Business Media
ISBN 13 : 3540292977
Total Pages : 596 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Combinatorial Optimization by : Bernhard Korte

Download or read book Combinatorial Optimization written by Bernhard Korte and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

Local Search in Combinatorial Optimization

Author : Emile Aarts
Publisher : Princeton University Press
ISBN 13 : 0691187568
Total Pages : 525 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Local Search in Combinatorial Optimization by : Emile Aarts

Download or read book Local Search in Combinatorial Optimization written by Emile Aarts and published by Princeton University Press. This book was released on 2018-06-05 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Algorithms

Author : Donald L. Kreher
Publisher : CRC Press
ISBN 13 : 1000102874
Total Pages : 344 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Combinatorial Algorithms by : Donald L. Kreher

Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 2020-09-23 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Geometric Algorithms and Combinatorial Optimization

Author : Martin Grötschel
Publisher : Springer Science & Business Media
ISBN 13 : 3642978819
Total Pages : 374 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Geometric Algorithms and Combinatorial Optimization by : Martin Grötschel

Download or read book Geometric Algorithms and Combinatorial Optimization written by Martin Grötschel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, there is a close connection between geometry and optImization. This is illustrated by methods like the gradient method and the simplex method, which are associated with clear geometric pictures. In combinatorial optimization, however, many of the strongest and most frequently used algorithms are based on the discrete structure of the problems: the greedy algorithm, shortest path and alternating path methods, branch-and-bound, etc. In the last several years geometric methods, in particular polyhedral combinatorics, have played a more and more profound role in combinatorial optimization as well. Our book discusses two recent geometric algorithms that have turned out to have particularly interesting consequences in combinatorial optimization, at least from a theoretical point of view. These algorithms are able to utilize the rich body of results in polyhedral combinatorics. The first of these algorithms is the ellipsoid method, developed for nonlinear programming by N. Z. Shor, D. B. Yudin, and A. S. NemirovskiI. It was a great surprise when L. G. Khachiyan showed that this method can be adapted to solve linear programs in polynomial time, thus solving an important open theoretical problem. While the ellipsoid method has not proved to be competitive with the simplex method in practice, it does have some features which make it particularly suited for the purposes of combinatorial optimization. The second algorithm we discuss finds its roots in the classical "geometry of numbers", developed by Minkowski. This method has had traditionally deep applications in number theory, in particular in diophantine approximation.

Stochastic Local Search

Author : Holger H. Hoos
Publisher : Morgan Kaufmann
ISBN 13 : 1558608729
Total Pages : 678 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Stochastic Local Search by : Holger H. Hoos

Download or read book Stochastic Local Search written by Holger H. Hoos and published by Morgan Kaufmann. This book was released on 2005 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic local search (SLS) algorithms are among the most prominent and successful techniques for solving computationally difficult problems. Offering a systematic treatment of SLS algorithms, this book examines the general concepts and specific instances of SLS algorithms and considers their development, analysis and application.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Combinatorial Search

Author : Martin Aigner
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Combinatorial Search by : Martin Aigner

Download or read book Combinatorial Search written by Martin Aigner and published by . This book was released on 1988-11-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic ideas and most interesting instances of search problems. The first chapter discusses combinatorial search. Following chapters, which are relatively independent of one another, present five general types of search problems. Each subsection is accompanied by exercises, some of which are answered at the back of the book. Stresses connections with information theory, combinatorics, tree structures, order, and graphs.

Combinatorial Machine Learning

Author : Mikhail Moshkov
Publisher : Springer
ISBN 13 : 3642209955
Total Pages : 186 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Combinatorial Machine Learning by : Mikhail Moshkov

Download or read book Combinatorial Machine Learning written by Mikhail Moshkov and published by Springer. This book was released on 2011-06-29 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision trees and decision rule systems are widely used in different applications as algorithms for problem solving, as predictors, and as a way for knowledge representation. Reducts play key role in the problem of attribute (feature) selection. The aims of this book are (i) the consideration of the sets of decision trees, rules and reducts; (ii) study of relationships among these objects; (iii) design of algorithms for construction of trees, rules and reducts; and (iv) obtaining bounds on their complexity. Applications for supervised machine learning, discrete optimization, analysis of acyclic programs, fault diagnosis, and pattern recognition are considered also. This is a mixture of research monograph and lecture notes. It contains many unpublished results. However, proofs are carefully selected to be understandable for students. The results considered in this book can be useful for researchers in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, test theory and logical analysis of data. The book can be used in the creation of courses for graduate students.

Algorithms in Combinatorial Geometry

Author : Herbert Edelsbrunner
Publisher : Springer Science & Business Media
ISBN 13 : 9783540137221
Total Pages : 446 pages
Book Rating : 4.1/5 (372 download)

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Book Synopsis Algorithms in Combinatorial Geometry by : Herbert Edelsbrunner

Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner and published by Springer Science & Business Media. This book was released on 1987-07-31 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.

Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining

Author : Hassan AbouEisha
Publisher : Springer
ISBN 13 : 3319918397
Total Pages : 277 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining by : Hassan AbouEisha

Download or read book Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining written by Hassan AbouEisha and published by Springer. This book was released on 2018-05-22 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses.

State Space Search

Author : Fouad Sabry
Publisher : One Billion Knowledgeable
ISBN 13 :
Total Pages : 111 pages
Book Rating : 4.:/5 (661 download)

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Book Synopsis State Space Search by : Fouad Sabry

Download or read book State Space Search written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2023-06-28 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Is State Space Search State space search is a technique that is employed in the field of computer science, particularly artificial intelligence (AI), in which consecutive configurations or states of an instance are explored, with the objective of finding a goal state with the desired feature. The term "state space search" comes from the phrase "state space," which refers to the space in which the process takes place. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: State Space Search Chapter 2: Brute-Force Search Chapter 3: Heuristic in Computer Science Chapter 4: Local Search Optimization Chapter 5: Game Tree Chapter 6: Constraint Satisfaction Problem Chapter 7: Adversarial Search Chapter 8: Markov Decision Process Chapter 9: Reinforcement Learning Chapter 10: Combinatorial search (II) Answering the public top questions about state space search. (III) Real world examples for the usage of state space search in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of state space search' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of state space search.