Combinatorial Search
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Combinatorial Search From Algorithms To Systems
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Author : Youssef Hamadi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-29
Combinatorial Search From Algorithms To Systems written by Youssef Hamadi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-29 with Computers categories.
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
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Author : Martin Aigner
language : en
Publisher:
Release Date : 1988-11-28
Combinatorial Search written by Martin Aigner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-28 with Computers categories.
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 Algorithms
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Author : Donald L. Kreher
language : en
Publisher: CRC Press
Release Date : 2020-09-23
Combinatorial Algorithms written by Donald L. Kreher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Mathematics categories.
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.
Discrete Cuckoo Search For Combinatorial Optimization
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Author : Aziz Ouaarab
language : en
Publisher: Springer Nature
Release Date : 2020-03-24
Discrete Cuckoo Search For Combinatorial Optimization written by Aziz Ouaarab and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-24 with Technology & Engineering categories.
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.
Local Search In Combinatorial Optimization
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Author : Emile Aarts
language : en
Publisher: Princeton University Press
Release Date : 2018-06-05
Local Search In Combinatorial Optimization written by Emile Aarts and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Mathematics categories.
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.
Stochastic Local Search Algorithms For Multiobjective Combinatorial Optimization
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Author : Luis F. Paquete
language : de
Publisher: IOS Press
Release Date : 2006
Stochastic Local Search Algorithms For Multiobjective Combinatorial Optimization written by Luis F. Paquete and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Business & Economics categories.
Stochastic Local Search algorithms were shown to give state-of-the-art results for many other problems, but little is known on how to design and analyse them for Multiobjective Combinatorial Optimization Problems. This book aims to fill this gap. It defines two search models that correspond to two distinct ways of tackling MCOPs by SLS algorithms."
Combinatorial Search Problems
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Author : Gyula Katona
language : en
Publisher: Springer
Release Date : 2014-05-04
Combinatorial Search Problems written by Gyula Katona and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Computers categories.
Fuzzy Greedy Search In Combinatorial Optimisation
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Author : Kaveh Sheibani
language : en
Publisher: Tadbir Institute for Operational Research, Systems Design, and Financial Services
Release Date : 2008-01-01
Fuzzy Greedy Search In Combinatorial Optimisation written by Kaveh Sheibani and has been published by Tadbir Institute for Operational Research, Systems Design, and Financial Services this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
In recent years, there has been a growth of interest in the development of systematic search methods for solving problems in operational research and artificial intelligence. This monograph introduces a new idea for the integration of approaches for hard combinatorial optimisation problems. The proposed methodology evaluates objects in a way that combines fuzzy reasoning with a greedy mechanism. In other words, a fuzzy solution space is exploited using greedy methods. This seems to be superior to the standard greedy version. The monograph consists of two main parts. The first part focuses on description of the theory and mathematics of the so-called fuzzy greedy evaluation concept. The second part demonstrates through computational experiments, the effectiveness and efficiency of the proposed concept within search, optimisation and learning systems for hard combinatorial optimisation problems.
Local Search Algorithms For Combinatorial Problems
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Author : Thomas G. Stützle
language : en
Publisher:
Release Date : 1999
Local Search Algorithms For Combinatorial Problems written by Thomas G. Stützle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Local Search Algorithms For Combinatorial Problems
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Author : Thomas G. Stutzle
language : en
Publisher: Ios PressInc
Release Date : 1999-01-01
Local Search Algorithms For Combinatorial Problems written by Thomas G. Stutzle and has been published by Ios PressInc this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Computers categories.
Many problems of enormous practical and theoretical importance are of combinatorial nature. Combinatorial problems are intriguing because they are easy to state but many of them are very difficult to solve they are NP-hard. Local search and extensions thereof based on metaheuristics, which have been developed at the interface between Artificial Intelligence and Operations Research, are among the best available techniques for obtaining high-quality solutions to large instances of NP-hard problems in a reasonable time. This book presents contributions to several research aspects of metaheuristics. The contributions concern (i) the introduction of a new methodology for analyzing the run-time behavior of metaheuristics and, in general, randomized algorithms, (ii) the derivation of improved algorithmic variants for known metaheuristics, in particular for ant colony optimization and iterated local search, (iii) the exploration of new applications of specific metaheuristics, and (iv) the characterization of the run-time behavior of specific metaheuristics. The achievements described in this book can be regarded as a further step towards achieving the goals of research on metaheuristics: the development of general and flexible, but at the same time powerful and efficient algorithms to approximately solve hard combinatorial problems.