Optimization Methods For Logical Inference

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Optimization Methods for Logical Inference

Author : Vijay Chandru
Publisher : John Wiley & Sons
ISBN 13 : 1118031415
Total Pages : 386 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Optimization Methods for Logical Inference by : Vijay Chandru

Download or read book Optimization Methods for Logical Inference written by Vijay Chandru and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Merging logic and mathematics in deductive inference-an innovative, cutting-edge approach. Optimization methods for logical inference? Absolutely, say Vijay Chandru and John Hooker, two major contributors to this rapidly expanding field. And even though "solving logical inference problems with optimization methods may seem a bit like eating sauerkraut with chopsticks. . . it is the mathematical structure of a problem that determines whether an optimization model can help solve it, not the context in which the problem occurs." Presenting powerful, proven optimization techniques for logic inference problems, Chandru and Hooker show how optimization models can be used not only to solve problems in artificial intelligence and mathematical programming, but also have tremendous application in complex systems in general. They survey most of the recent research from the past decade in logic/optimization interfaces, incorporate some of their own results, and emphasize the types of logic most receptive to optimization methods-propositional logic, first order predicate logic, probabilistic and related logics, logics that combine evidence such as Dempster-Shafer theory, rule systems with confidence factors, and constraint logic programming systems. Requiring no background in logic and clearly explaining all topics from the ground up, Optimization Methods for Logical Inference is an invaluable guide for scientists and students in diverse fields, including operations research, computer science, artificial intelligence, decision support systems, and engineering.

Logic-Based Methods for Optimization

Author : John Hooker
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Logic-Based Methods for Optimization by : John Hooker

Download or read book Logic-Based Methods for Optimization written by John Hooker and published by Wiley-Interscience. This book was released on 2000-05-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Logic-Based Methods for Optimization develops for the first time a comprehensive conceptual framework for integrating optimization and constraint satisfaction, then goes a step further and shows how extending logical inference to optimization allows for more powerful as well as flexible modeling and solution techniques. Designed to be easily accessible to industry professionals and academics in both operations research and artificial intelligence, the book provides a wealth of examples as well as elegant techniques and modeling frameworks ready for implementation."--BOOK JACKET.

Logic-Based Methods for Optimization

Author : John Hooker
Publisher : John Wiley & Sons
ISBN 13 : 1118031288
Total Pages : 520 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Logic-Based Methods for Optimization by : John Hooker

Download or read book Logic-Based Methods for Optimization written by John Hooker and published by John Wiley & Sons. This book was released on 2011-09-28 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering look at the fundamental role of logic in optimizationand constraint satisfaction While recent efforts to combine optimization and constraintsatisfaction have received considerable attention, little has beensaid about using logic in optimization as the key to unifying thetwo fields. Logic-Based Methods for Optimization develops for thefirst time a comprehensive conceptual framework for integratingoptimization and constraint satisfaction, then goes a step furtherand shows how extending logical inference to optimization allowsfor more powerful as well as flexible modeling and solutiontechniques. Designed to be easily accessible to industryprofessionals and academics in both operations research andartificial intelligence, the book provides a wealth of examples aswell as elegant techniques and modeling frameworks ready forimplementation. Timely, original, and thought-provoking,Logic-Based Methods for Optimization: * Demonstrates the advantages of combining the techniques inproblem solving * Offers tutorials in constraint satisfaction/constraintprogramming and logical inference * Clearly explains such concepts as relaxation, cutting planes,nonserial dynamic programming, and Bender's decomposition * Reviews the necessary technologies for software developersseeking to combine the two techniques * Features extensive references to important computationalstudies * And much more

Boolean Models and Methods in Mathematics, Computer Science, and Engineering

Author : Yves Crama
Publisher : Cambridge University Press
ISBN 13 : 0521847524
Total Pages : 781 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Boolean Models and Methods in Mathematics, Computer Science, and Engineering by : Yves Crama

Download or read book Boolean Models and Methods in Mathematics, Computer Science, and Engineering written by Yves Crama and published by Cambridge University Press. This book was released on 2010-06-28 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

Theory of Computational Complexity

Author : Ding-Zhu Du
Publisher : John Wiley & Sons
ISBN 13 : 1118306082
Total Pages : 517 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Theory of Computational Complexity by : Ding-Zhu Du

Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2014-06-30 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.

Sorting

Author : Hosam M. Mahmoud
Publisher : John Wiley & Sons
ISBN 13 : 111803113X
Total Pages : 414 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Sorting by : Hosam M. Mahmoud

Download or read book Sorting written by Hosam M. Mahmoud and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge look at the emerging distributional theory of sorting Research on distributions associated with sorting algorithms has grown dramatically over the last few decades, spawning many exact and limiting distributions of complexity measures for many sorting algorithms. Yet much of this information has been scattered in disparate and highly specialized sources throughout the literature. In Sorting: A Distribution Theory, leading authority Hosam Mahmoud compiles, consolidates, and clarifies the large volume of available research, providing a much-needed, comprehensive treatment of the entire emerging distributional theory of sorting. Mahmoud carefully constructs a logical framework for the analysis of all standard sorting algorithms, focusing on the development of the probability distributions associated with the algorithms, as well as other issues in probability theory such as measures of concentration and rates of convergence. With an emphasis on narrative rather than technical explanations, this exceptionally well-written book makes new results easily accessible to a broad spectrum of readers, including computer professionals, scientists, mathematicians, and engineers. Sorting: A Distribution Theory: * Contains introductory material on complete and partial sorting * Explains insertion sort, quick sort, and merge sort, among other methods * Offers verbal descriptions of the mechanics of the algorithms as well as the necessary code * Illustrates the distribution theory of sorting using a broad array of both classical and modern techniques * Features a variety of end-of-chapter exercises

Graph Edge Coloring

Author : Michael Stiebitz
Publisher : John Wiley & Sons
ISBN 13 : 1118205561
Total Pages : 344 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Graph Edge Coloring by : Michael Stiebitz

Download or read book Graph Edge Coloring written by Michael Stiebitz and published by John Wiley & Sons. This book was released on 2012-02-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features recent advances and new applications in graph edgecoloring Reviewing recent advances in the Edge Coloring Problem, GraphEdge Coloring: Vizing's Theorem and Goldberg's Conjectureprovides an overview of the current state of the science,explaining the interconnections among the results obtained fromimportant graph theory studies. The authors introduce many newimproved proofs of known results to identify and point to possiblesolutions for open problems in edge coloring. The book begins with an introduction to graph theory and theconcept of edge coloring. Subsequent chapters explore importanttopics such as: Use of Tashkinov trees to obtain an asymptotic positive solutionto Goldberg's conjecture Application of Vizing fans to obtain both known and newresults Kierstead paths as an alternative to Vizing fans Classification problem of simple graphs Generalized edge coloring in which a color may appear more thanonce at a vertex This book also features first-time English translations of twogroundbreaking papers written by Vadim Vizing on an estimate of thechromatic class of a p-graph and the critical graphs within a givenchromatic class. Written by leading experts who have reinvigorated research inthe field, Graph Edge Coloring is an excellent book formathematics, optimization, and computer science courses at thegraduate level. The book also serves as a valuable reference forresearchers interested in discrete mathematics, graph theory,operations research, theoretical computer science, andcombinatorial optimization.

Integrated Methods for Optimization

Author : John N. Hooker
Publisher : Springer Science & Business Media
ISBN 13 : 146141900X
Total Pages : 655 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Integrated Methods for Optimization by : John N. Hooker

Download or read book Integrated Methods for Optimization written by John N. Hooker and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Integrated Methods for Optimization was published in January 2007. Because the book covers a rapidly developing field, the time is right for a second edition. The book provides a unified treatment of optimization methods. It brings ideas from mathematical programming (MP), constraint programming (CP), and global optimization (GO)into a single volume. There is no reason these must be learned as separate fields, as they normally are, and there are three reasons they should be studied together. (1) There is much in common among them intellectually, and to a large degree they can be understood as special cases of a single underlying solution technology. (2) A growing literature reports how they can be profitably integrated to formulate and solve a wide range of problems. (3) Several software packages now incorporate techniques from two or more of these fields. The book provides a unique resource for graduate students and practitioners who want a well-rounded background in optimization methods within a single course of study. Engineering students are a particularly large potential audience, because engineering optimization problems often benefit from a combined approach—particularly where design, scheduling, or logistics are involved. The text is also of value to those studying operations research, because their educational programs rarely cover CP, and to those studying computer science and artificial intelligence (AI), because their curric ula typically omit MP and GO. The text is also useful for practitioners in any of these areas who want to learn about another, because it provides a more concise and accessible treatment than other texts. The book can cover so wide a range of material because it focuses on ideas that arerelevant to the methods used in general-purpose optimization and constraint solvers. The book focuses on ideas behind the methods that have proved useful in general-purpose optimization and constraint solvers, as well as integrated solvers of the present and foreseeable future. The second edition updates results in this area and includes several major new topics: Background material in linear, nonlinear, and dynamic programming. Network flow theory, due to its importance in filtering algorithms. A chapter on generalized duality theory that more explicitly develops a unifying primal-dual algorithmic structure for optimization methods. An extensive survey of search methods from both MP and AI, using the primal-dual framework as an organizing principle. Coverage of several additional global constraints used in CP solvers. The book continues to focus on exact as opposed to heuristic methods. It is possible to bring heuristic methods into the unifying scheme described in the book, and the new edition will retain the brief discussion of how this might be done.

Graph Theory

Author : Russell Merris
Publisher : John Wiley & Sons
ISBN 13 : 1118031296
Total Pages : 258 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Graph Theory by : Russell Merris

Download or read book Graph Theory written by Russell Merris and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively invitation to the flavor, elegance, and power of graph theory This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory. Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to Pólya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra. The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.

The Probabilistic Method

Author : Noga Alon
Publisher : John Wiley & Sons
ISBN 13 : 0471653985
Total Pages : 322 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis The Probabilistic Method by : Noga Alon

Download or read book The Probabilistic Method written by Noga Alon and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercises and over 30% new material. It continues to emphasize the basic elements of the methodology, discussing in a remarkably clear and informal style both algorithmic and classical methods as well as modern applications. The Probabilistic Method, Second Edition begins with basic techniques that use expectation and variance, as well as the more recent martingales and correlation inequalities, then explores areas where probabilistic techniques proved successful, including discrepancy and random graphs as well as cutting-edge topics in theoretical computer science. A series of proofs, or "probabilistic lenses," are interspersed throughout the book, offering added insight into the application of the probabilistic approach. New and revised coverage includes: * Several improved as well as new results * A continuous approach to discrete probabilistic problems * Talagrand's Inequality and other novel concentration results * A discussion of the connection between discrepancy and VC-dimension * Several combinatorial applications of the entropy function and its properties * A new section on the life and work of Paul Erdös-the developer of the probabilistic method

Combinatorial Optimization

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
ISBN 13 : 9783540443896
Total Pages : 2024 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Combinatorial Optimization by : Alexander Schrijver

Download or read book Combinatorial Optimization written by Alexander Schrijver and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Introduction to Combinatorics

Author : Martin J. Erickson
Publisher : John Wiley & Sons
ISBN 13 : 1118637585
Total Pages : 200 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Introduction to Combinatorics by : Martin J. Erickson

Download or read book Introduction to Combinatorics written by Martin J. Erickson and published by John Wiley & Sons. This book was released on 2013-06-13 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition “This excellent text should prove a useful accoutrement for any developing mathematics program . . . it’s short, it’s sweet, it’s beautifully written.” —The Mathematical Intelligencer “Erickson has prepared an exemplary work . . . strongly recommended for inclusion in undergraduate-level library collections.” —Choice Featuring a modern approach, Introduction to Combinatorics, Second Edition illustrates the applicability of combinatorial methods and discusses topics that are not typically addressed in literature, such as Alcuin’s sequence, Rook paths, and Leech’s lattice. The book also presents fundamental results, discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise questions and observations. Many important combinatorial methods are revisited and repeated several times throughout the book in exercises, examples, theorems, and proofs alike, allowing readers to build confidence and reinforce their understanding of complex material. In addition, the author successfully guides readers step-by-step through three major achievements of combinatorics: Van der Waerden’s theorem on arithmetic progressions, Pólya’s graph enumeration formula, and Leech’s 24-dimensional lattice. Along with updated tables and references that reflect recent advances in various areas, such as error-correcting codes and combinatorial designs, the Second Edition also features: Many new exercises to help readers understand and apply combinatorial techniques and ideas A deeper, investigative study of combinatorics through exercises requiring the use of computer programs Over fifty new examples, ranging in level from routine to advanced, that illustrate important combinatorial concepts Basic principles and theories in combinatorics as well as new and innovative results in the field Introduction to Combinatorics, Second Edition is an ideal textbook for a one- or two-semester sequence in combinatorics, graph theory, and discrete mathematics at the upper-undergraduate level. The book is also an excellent reference for anyone interested in the various applications of elementary combinatorics.

Cryptography, Information Theory, and Error-Correction

Author : Aiden A. Bruen
Publisher : John Wiley & Sons
ISBN 13 : 1118031385
Total Pages : 496 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Cryptography, Information Theory, and Error-Correction by : Aiden A. Bruen

Download or read book Cryptography, Information Theory, and Error-Correction written by Aiden A. Bruen and published by John Wiley & Sons. This book was released on 2011-09-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the first unified treatment of today's most essential information technologies— Compressing, Encrypting, and Encoding With identity theft, cybercrime, and digital file sharing proliferating in today's wired world, providing safe and accurate information transfers has become a paramount concern. The issues and problems raised in this endeavor are encompassed within three disciplines: cryptography, information theory, and error-correction. As technology continues to develop, these fields have converged at a practical level, increasing the need for a unified treatment of these three cornerstones of the information age. Stressing the interconnections of the disciplines, Cryptography, Information Theory, and Error-Correction offers a complete, yet accessible account of the technologies shaping the 21st century. This book contains the most up-to-date, detailed, and balanced treatment available on these subjects. The authors draw on their experience both in the classroom and in industry, giving the book's material and presentation a unique real-world orientation. With its reader-friendly style and interdisciplinary emphasis, Cryptography, Information Theory, and Error-Correction serves as both an admirable teaching text and a tool for self-learning. The chapter structure allows for anyone with a high school mathematics education to gain a strong conceptual understanding, and provides higher-level students with more mathematically advanced topics. The authors clearly map out paths through the book for readers of all levels to maximize their learning. This book: Is suitable for courses in cryptography, information theory, or error-correction as well as courses discussing all three areas Provides over 300 example problems with solutions Presents new and exciting algorithms adopted by industry Discusses potential applications in cell biology Details a new characterization of perfect secrecy Features in-depth coverage of linear feedback shift registers (LFSR), a staple of modern computing Follows a layered approach to facilitate discussion, with summaries followed by more detailed explanations Provides a new perspective on the RSA algorithm Cryptography, Information Theory, and Error-Correction is an excellent in-depth text for both graduate and undergraduate students of mathematics, computer science, and engineering. It is also an authoritative overview for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, entrepreneurs, and the generally curious.

Ethical Challenges in AI-enhanced Military Operations

Author : George Lucas
Publisher : Frontiers Media SA
ISBN 13 : 2832528961
Total Pages : 80 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Ethical Challenges in AI-enhanced Military Operations by : George Lucas

Download or read book Ethical Challenges in AI-enhanced Military Operations written by George Lucas and published by Frontiers Media SA. This book was released on 2023-07-10 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Computer Science - ASIAN 2004, Higher Level Decision Making

Author : Michael J. Maher
Publisher : Springer
ISBN 13 : 3540305025
Total Pages : 522 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Advances in Computer Science - ASIAN 2004, Higher Level Decision Making by : Michael J. Maher

Download or read book Advances in Computer Science - ASIAN 2004, Higher Level Decision Making written by Michael J. Maher and published by Springer. This book was released on 2004-12-02 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Computer Science - ASIAN 2004, Higher Level Decision Making

Author : Michael J. Maher
Publisher : Springer Science & Business Media
ISBN 13 : 354024087X
Total Pages : 522 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Advances in Computer Science - ASIAN 2004, Higher Level Decision Making by : Michael J. Maher

Download or read book Advances in Computer Science - ASIAN 2004, Higher Level Decision Making written by Michael J. Maher and published by Springer Science & Business Media. This book was released on 2004-12 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th Asian Computing Science Conference, ASIAN 2004, dedicated to Jean-Louis Lassez on the occasion of his 60th birthday and held in Chiang Mai, Thailand in December 2004. The 17 revised full papers presented together with 3 keynote papers and 16 invited papers honouring Jean-Louis Lassez were carefully reviewed and selected from 75 submissions. The contributed papers are focusing on higher-level decision making, whereas the invited papers address a broader variety of topics in theoretical computer science.

Logic and Integer Programming

Author : H. Paul Williams
Publisher : Springer Science & Business Media
ISBN 13 : 0387922806
Total Pages : 167 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Logic and Integer Programming by : H. Paul Williams

Download or read book Logic and Integer Programming written by H. Paul Williams and published by Springer Science & Business Media. This book was released on 2009-04-09 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such.