Boolean Methods In Operations Research And Related Areas

Author : P. L. Hammer,S. Rudeanu
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642858239

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Boolean Methods in Operations Research and Related Areas by P. L. Hammer,S. Rudeanu Pdf

In classical analysis, there is a vast difference between the class of problems that may be handled by means of the methods of calculus and the class of problems requiring combinatorial techniques. With the advent of the digital computer, the distinction begins to blur, and with the increasing emphasis on problems involving optimization over structures, tIlE' distinction vanishes. What is necessary for the analytic and computational treatment of significant questions arising in modern control theory, mathematical economics, scheduling theory, operations research, bioengineering, and so forth is a new and more flexible mathematical theory which subsumes both the cla8sical continuous and discrete t 19orithms. The work by HAMMER (IVANESCU) and RUDEANU on Boolean methods represents an important step in this dnectlOn, and it is thus a great pleasure to welcome it into print. It will certainly stimulate a great deal of additional research in both theory and application. RICHARD BELLMAN University of Southern California FOf(,WOl'

Author : C. Kastning
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 45,7 Mb
Release : 2013-11-11
Category : Business & Economics
ISBN : 9783662022849

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Integer Programming and Related Areas by C. Kastning Pdf

Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.

Author : P. L. Ivanescu,S. Rudeanu
Publisher : Springer
Page : 123 pages
File Size : 44,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540348351

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Pseudo-Boolean Methods for Bivalent Programming by P. L. Ivanescu,S. Rudeanu Pdf

Author : Yves Crama,Peter L. Hammer
Publisher : Cambridge University Press
Page : 711 pages
File Size : 50,6 Mb
Release : 2011-05-16
Category : Mathematics
ISBN : 9781139498630

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Boolean Functions by Yves Crama,Peter L. Hammer Pdf

Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.

Author : Achim Bachem,Ulrich Derigs,Michael Jünger,Rainer Schrader
Publisher : Springer Science & Business Media
Page : 574 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642469558

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Operations Research ’93 by Achim Bachem,Ulrich Derigs,Michael Jünger,Rainer Schrader Pdf

This proceedings volume contains extended abstracts of talks presented at the 18th Symposium on Operations Research held at the University of Cologne, September 1-3, 1993. The Symposia on Operations Research are the annual meetings of the Gesellschaft fiir Mathematik, Okonometrie und Operations Research (GMOOR), a scientific society providing a link between research and applications in the areas of applied mathematics, economics and operations research. The broad range of interests and scientific activities covered by GMOOR and its members was demonstrated by about 250 talks presented at the 18th Symposium. As in l'ecent years, emphasis was placed on optimization and stochastics, this year with a special focus on combinatorial optimization and discrete mathematics. We appreciate that with sections on parallel and distributed computing and on scientific computing also new fields could be integrated into the scope of the GMOOR. This book contains extended abstracts of most of the papers presented at the con ference. Long versions and full papers of the talks are expected to appear elsewhere in refereed periodicals. The contributions were divided into sixteen sections: (1) Theory of Optimization, (2) Computational Methods of Optimization, (3) Combinatorial Optimization and Dis crete Mathematics, (4) Scientific Computing, (5) Decision Theory, (6) Mathematical Economics and Game Theory, (7) Banking, Finance and Insurance, (8) Econometrics, (9) Macroeconomics and Economic Theory, (10) Stochastics, (11) Production and Lo gistics, (12) System and Control Theory, (13) Routing and Scheduling, (14) Knowledge Based Systems, (15) Information Systems and (16) Parallel and Distributed Compu ting.

Author : Anonim
Publisher : Elsevier
Page : 450 pages
File Size : 55,5 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080867677

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Discrete Optimization I by Anonim Pdf

Discrete Optimization I

Author : Suhash Chandra Dutta Roy
Publisher : Springer Nature
Page : 330 pages
File Size : 48,5 Mb
Release : 2019-10-11
Category : Technology & Engineering
ISBN : 9789811395321

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Topics in Signal Processing by Suhash Chandra Dutta Roy Pdf

This book is a collection of specific research problems in signal processing and their solutions. It touches upon most core topics, including active and passive processing, discrete-time and continuous signals, and design of filters and networks for specific applications. This unique collection of design problems and conceptual insights will be useful to graduate students, researchers, and professionals working on signal processing problems. In addition, the book can also be used as a supplementary text for graduate courses in advanced signal processing, and for professional development courses for practicing engineers.

Author : Thomas L. Saaty
Publisher : RWS Publications
Page : 310 pages
File Size : 45,8 Mb
Release : 2014-12-19
Category : Business & Economics
ISBN : 9781888603378

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Optimization in integers and related extremal problems by Thomas L. Saaty Pdf

This text, the first of its kind, surveys the entire field of optimization in integers. It is designed for students of mathematics, engineering, science, social science, and operations research. It will stimulate and excite the reader's interest in the elementary methods and ideas. of discrete optimization and related problems. The text presents the current theories and a wide variety of examples and applications of optimization in integers in both geometric end algebraic settings. Coverage is given to a wide class of problems and the ways in which they may be handled. The text includes numerous exercises and illustrations.

Author : A. Biere,H. van Maaren
Publisher : IOS Press
Page : 1486 pages
File Size : 46,7 Mb
Release : 2021-05-05
Category : Computers
ISBN : 9781643681610

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Handbook of Satisfiability by A. Biere,H. van Maaren Pdf

Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"

Author : Sergiu Rudeanu
Publisher : Bentham Science Publishers
Page : 260 pages
File Size : 49,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9781608053384

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Sets and Ordered Structures by Sergiu Rudeanu Pdf

This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and attractive way. Readers will easily identify problems/t

Author : Duan Li,Xiaoling Sun
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 46,5 Mb
Release : 2006-08-13
Category : Mathematics
ISBN : 9780387329956

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Nonlinear Integer Programming by Duan Li,Xiaoling Sun Pdf

A combination of both Integer Programming and Nonlinear Optimization, this is a powerful book that surveys the field and provides a state-of-the-art treatment of Nonlinear Integer Programming. It is the first book available on the subject. The book aims to bring the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science.

Author : B. Roy
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 45,7 Mb
Release : 2013-03-08
Category : Computers
ISBN : 9789401175579

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Combinatorial Programming: Methods and Applications by B. Roy Pdf

"Combinatorial Programming" are two words whose juxtaposition still strike us as unusual, nevertheless their association in recent years adequately reflects the preoccupations underlying differing work fields, and their importance will increase both from methodology and application view points. To those who like definitions and consider the function of this book to furnish one for combinatorial programming, I will simply say that it is precise ly this which is exclusively treated here and which in the eyes of the autors is the heart of this branch of applied mathematics. Such was the initial intention of those who in the spring of 1973 gathered tog~ther in Paris to state the work of the Advanced Study Institute from which this book arises. As young as combinatorial programming is, it was easy to see that a two week school was insufficient to cover the subject in an exhaustive manner. Finally the decision had to be taken to reduce to book form, and to organise within this particular means of expression, the essential syntheses and communications. Unfortunately the discussions, the round tables, and the majority of the case studies could not be included in this book which is more of a hand-book on the subject. XIV PREFACE The choice and orientation of the surveys has been guided by two criteria : the importance of already accomplished work, and the originality of the survey to be undertaken.

Author : G Z Liu
Publisher : World Scientific
Page : 1718 pages
File Size : 49,6 Mb
Release : 1995-09-01
Category : Electronic
ISBN : 9789814549158

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Optimization: Techniques And Applications (Icota '95) by G Z Liu Pdf

With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchange of new ideas and information and for identifying needs for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.

Author : Sergiu Rudeanu
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447102410

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Lattice Functions and Equations by Sergiu Rudeanu Pdf

One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.

Author : Stephan Foldes
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 48,7 Mb
Release : 1994-03-31
Category : Mathematics
ISBN : 0471571806

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Fundamental Structures of Algebra and Discrete Mathematics by Stephan Foldes Pdf

Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.