Boolean Methods In Operations Research And Related Areas
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Boolean Methods In Operations Research And Related Areas
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Author : P. L. Hammer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boolean Methods In Operations Research And Related Areas written by P. L. Hammer 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 2012-12-06 with Business & Economics categories.
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'
Boolean Methods In Operations Research And Related Areas
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Author : Peter L. Hammer
language : de
Publisher:
Release Date : 1986
Boolean Methods In Operations Research And Related Areas written by Peter L. Hammer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Boolean Models And Methods In Mathematics Computer Science And Engineering
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-28
Boolean Models And Methods In Mathematics Computer Science And Engineering written by Yves Crama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-28 with Computers categories.
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
Boolean Functions
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2011-05-16
Boolean Functions written by Yves Crama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-16 with Mathematics categories.
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.
Pseudo Boolean Methods For Bivalent Programming
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Author : P. L. Ivanescu
language : en
Publisher: Springer
Release Date : 2006-11-14
Pseudo Boolean Methods For Bivalent Programming written by P. L. Ivanescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Boolean Functions
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Author : Winfried G. Schneeweiss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boolean Functions written by Winfried G. Schneeweiss 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 2012-12-06 with Technology & Engineering categories.
Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.
Integer Programming And Related Areas
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Author : C. Kastning
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Integer Programming And Related Areas written by C. Kastning 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 2013-11-11 with Business & Economics categories.
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.
Econometrics And Operations Research
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Author :
language : en
Publisher:
Release Date : 1968
Econometrics And Operations Research written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Economics categories.
Pseudo Boolean Programming And Applications
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Author : P. L. Ivanescu
language : en
Publisher: Springer
Release Date : 2006-11-14
Pseudo Boolean Programming And Applications written by P. L. Ivanescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Algebraic And Combinatorial Methods In Operations Research
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Author : R.E. Burkard
language : en
Publisher: Elsevier
Release Date : 1984-01-01
Algebraic And Combinatorial Methods In Operations Research written by R.E. Burkard and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.