Combinatorial Search From Algorithms To Systems

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Combinatorial Search: From Algorithms to Systems

Youssef Hamadi
Combinatorial Search From Algorithms to Systems Book PDF

Author : Youssef Hamadi
Publisher : Springer Science & Business Media
Page : 149 pages
File Size : 43,5 Mb
Release : 2013-10-29
Category : Computers
ISBN : 9783642414824

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Combinatorial Search: From Algorithms to Systems by Youssef Hamadi Pdf

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 Algorithms

Donald L. Kreher,Douglas R. Stinson
Combinatorial Algorithms Book PDF

Author : Donald L. Kreher,Douglas R. Stinson
Publisher : CRC Press
Page : 344 pages
File Size : 41,9 Mb
Release : 2020-09-23
Category : Mathematics
ISBN : 9781000102871

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Combinatorial Algorithms by Donald L. Kreher,Douglas R. Stinson Pdf

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

Martin Grötschel,Laszlo Lovasz,Alexander Schrijver
Geometric Algorithms and Combinatorial Optimization Book PDF

Author : Martin Grötschel,Laszlo Lovasz,Alexander Schrijver
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642978814

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Geometric Algorithms and Combinatorial Optimization by Martin Grötschel,Laszlo Lovasz,Alexander Schrijver Pdf

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.

Combinatorial Optimization

Christos H. Papadimitriou,Kenneth Steiglitz
Combinatorial Optimization Book PDF

Author : Christos H. Papadimitriou,Kenneth Steiglitz
Publisher : Courier Corporation
Page : 528 pages
File Size : 45,5 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486320137

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Combinatorial Optimization by Christos H. Papadimitriou,Kenneth Steiglitz Pdf

This 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; local search heuristics for NP-complete problems, more. 1982 edition.

Combinatorial Algorithms

Paola Flocchini,Lucia Moura
Combinatorial Algorithms Book PDF

Author : Paola Flocchini,Lucia Moura
Publisher : Springer Nature
Page : 588 pages
File Size : 43,8 Mb
Release : 2021-06-30
Category : Computers
ISBN : 9783030799878

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Combinatorial Algorithms by Paola Flocchini,Lucia Moura Pdf

This book constitutes the proceedings of the 32nd International Workshop on Combinatorial Algorithms which was planned to take place in Ottawa, ON, Canada, in July 2021. Due to the COVID-19 pandemic the conference changed to a virtual format. The 38 full papers included in this book together with 2 invited talks were carefully reviewed and selected from 107 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business. Chapter “Minimum Eccentricity Shortest Path Problem with Respect to Structural Parameters” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Local Search in Combinatorial Optimization

Emile H. L. Aarts,Jan Karel Lenstra
Local Search in Combinatorial Optimization Book PDF

Author : Emile H. L. Aarts,Jan Karel Lenstra
Publisher : Princeton University Press
Page : 525 pages
File Size : 42,7 Mb
Release : 2003-08-03
Category : Computers
ISBN : 9780691115221

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Local Search in Combinatorial Optimization by Emile H. L. Aarts,Jan Karel Lenstra Pdf

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 Algorithms,

Luděk Kučera
Combinatorial Algorithms Book PDF

Author : Luděk Kučera
Publisher : CRC Press
Page : 296 pages
File Size : 47,9 Mb
Release : 1991
Category : Art
ISBN : UOM:39015019606501

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Combinatorial Algorithms, by Luděk Kučera Pdf

Combinatorial Algorithms is devoted to the solution of problems presented by the theory of graphs. This area of problems has been growing dramatically. Until now, the majority of results could only be found in specialized journals, technical reports and conference proceedings. Here for the first time, the subject is dealt with in a systematic manner in one book. Although directed primarily to students of computer science, it will also be useful to programmers and other workers in the area of computers.

Data Mining and Constraint Programming

Christian Bessiere,Luc De Raedt,Lars Kotthoff,Siegfried Nijssen,Barry O'Sullivan,Dino Pedreschi
Data Mining and Constraint Programming Book PDF

Author : Christian Bessiere,Luc De Raedt,Lars Kotthoff,Siegfried Nijssen,Barry O'Sullivan,Dino Pedreschi
Publisher : Springer
Page : 0 pages
File Size : 48,7 Mb
Release : 2016-12-06
Category : Computers
ISBN : 3319501364

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Data Mining and Constraint Programming by Christian Bessiere,Luc De Raedt,Lars Kotthoff,Siegfried Nijssen,Barry O'Sullivan,Dino Pedreschi Pdf

A successful integration of constraint programming and data mining has the potential to lead to a new ICT paradigm with far reaching implications. It could change the face of data mining and machine learning, as well as constraint programming technology. It would not only allow one to use data mining techniques in constraint programming to identify and update constraints and optimization criteria, but also to employ constraints and criteria in data mining and machine learning in order to discover models compatible with prior knowledge. This book reports on some key results obtained on this integrated and cross- disciplinary approach within the European FP7 FET Open project no. 284715 on “Inductive Constraint Programming” and a number of associated workshops and Dagstuhl seminars. The book is structured in five parts: background; learning to model; learning to solve; constraint programming for data mining; and showcases.

Combinatorial Algorithms for Integrated Circuit Layout

Anonim
Combinatorial Algorithms for Integrated Circuit Layout Book PDF

Author : Anonim
Publisher : Springer Science & Business Media
Page : 715 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783322921062

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Combinatorial Algorithms for Integrated Circuit Layout by Anonim Pdf

The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.

Combinatorial Algorithms on Words

Alberto Apostolico,Zvi Galil
Combinatorial Algorithms on Words Book PDF

Author : Alberto Apostolico,Zvi Galil
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 41,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642824562

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Combinatorial Algorithms on Words by Alberto Apostolico,Zvi Galil Pdf

Combinatorial Algorithms on Words refers to the collection of manipulations of strings of symbols (words) - not necessarily from a finite alphabet - that exploit the combinatorial properties of the logical/physical input arrangement to achieve efficient computational performances. The model of computation may be any of the established serial paradigms (e.g. RAM's, Turing Machines), or one of the emerging parallel models (e.g. PRAM ,WRAM, Systolic Arrays, CCC). This book focuses on some of the accomplishments of recent years in such disparate areas as pattern matching, data compression, free groups, coding theory, parallel and VLSI computation, and symbolic dynamics; these share a common flavor, yet ltave not been examined together in the past. In addition to being theoretically interest ing, these studies have had significant applications. It happens that these works have all too frequently been carried out in isolation, with contributions addressing similar issues scattered throughout a rather diverse body of literature. We felt that it would be advantageous to both current and future researchers to collect this work in a sin gle reference. It should be clear that the book's emphasis is on aspects of combinatorics and com plexity rather than logic, foundations, and decidability. In view of the large body of research and the degree of unity already achieved by studies in the theory of auto mata and formal languages, we have allocated very little space to them.

Combinatorial Optimization Problems in Planning and Decision Making

Michael Z. Zgurovsky,Alexander A. Pavlov
Combinatorial Optimization Problems in Planning and Decision Making Book PDF

Author : Michael Z. Zgurovsky,Alexander A. Pavlov
Publisher : Springer
Page : 518 pages
File Size : 41,9 Mb
Release : 2018-09-24
Category : Technology & Engineering
ISBN : 9783319989778

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Combinatorial Optimization Problems in Planning and Decision Making by Michael Z. Zgurovsky,Alexander A. Pavlov Pdf

The book focuses on the next fields of computer science: combinatorial optimization, scheduling theory, decision theory, and computer-aided production management systems. It also offers a quick introduction into the theory of PSC-algorithms, which are a new class of efficient methods for intractable problems of combinatorial optimization. A PSC-algorithm is an algorithm which includes: sufficient conditions of a feasible solution optimality for which their checking can be implemented only at the stage of a feasible solution construction, and this construction is carried out by a polynomial algorithm (the first polynomial component of the PSC-algorithm); an approximation algorithm with polynomial complexity (the second polynomial component of the PSC-algorithm); also, for NP-hard combinatorial optimization problems, an exact subalgorithm if sufficient conditions were found, fulfilment of which during the algorithm execution turns it into a polynomial complexity algorithm. Practitioners and software developers will find the book useful for implementing advanced methods of production organization in the fields of planning (including operative planning) and decision making. Scientists, graduate and master students, or system engineers who are interested in problems of combinatorial optimization, decision making with poorly formalized overall goals, or a multiple regression construction will benefit from this book.

Combinatorial Algorithms on Words

Alberto Apostolico,Zvi Galil
Combinatorial Algorithms on Words Book PDF

Author : Alberto Apostolico,Zvi Galil
Publisher : Springer
Page : 378 pages
File Size : 52,7 Mb
Release : 1985-07
Category : Mathematics
ISBN : UCSD:31822001901990

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Combinatorial Algorithms on Words by Alberto Apostolico,Zvi Galil Pdf

Combinatorial Algorithms on Words refers to the collection of manipulations of strings of symbols (words) - not necessarily from a finite alphabet - that exploit the combinatorial properties of the logical/physical input arrangement to achieve efficient computational performances. The model of computation may be any of the established serial paradigms (e.g. RAM's, Turing Machines), or one of the emerging parallel models (e.g. PRAM ,WRAM, Systolic Arrays, CCC). This book focuses on some of the accomplishments of recent years in such disparate areas as pattern matching, data compression, free groups, coding theory, parallel and VLSI computation, and symbolic dynamics; these share a common flavor, yet ltave not been examined together in the past. In addition to being theoretically interest ing, these studies have had significant applications. It happens that these works have all too frequently been carried out in isolation, with contributions addressing similar issues scattered throughout a rather diverse body of literature. We felt that it would be advantageous to both current and future researchers to collect this work in a sin gle reference. It should be clear that the book's emphasis is on aspects of combinatorics and com plexity rather than logic, foundations, and decidability. In view of the large body of research and the degree of unity already achieved by studies in the theory of auto mata and formal languages, we have allocated very little space to them.

Algorithms in Combinatorial Design Theory

C.J. Colbourn,M.J. Colbourn
Algorithms in Combinatorial Design Theory Book PDF

Author : C.J. Colbourn,M.J. Colbourn
Publisher : Elsevier
Page : 333 pages
File Size : 50,9 Mb
Release : 1985-01-01
Category : Mathematics
ISBN : 0080872255

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Algorithms in Combinatorial Design Theory by C.J. Colbourn,M.J. Colbourn Pdf

The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

Fuzzy Greedy Search in Combinatorial Optimisation

Kaveh Sheibani
Fuzzy Greedy Search in Combinatorial Optimisation Book PDF

Author : Kaveh Sheibani
Publisher : Tadbir Institute for Operational Research, Systems Design, and Financial Services
Page : 118 pages
File Size : 43,9 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9789640411186

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Fuzzy Greedy Search in Combinatorial Optimisation by Kaveh Sheibani Pdf

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

Thomas G. Stutzle
Local Search Algorithms for Combinatorial Problems Book PDF

Author : Thomas G. Stutzle
Publisher : Ios PressInc
Page : 203 pages
File Size : 51,6 Mb
Release : 1999-01-01
Category : Computers
ISBN : 1586031198

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Local Search Algorithms for Combinatorial Problems by Thomas G. Stutzle Pdf

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.