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Titlebook: Boolean Methods in Operations Research and Related Areas; Peter L. Hammer,Sergiu Rudeanu Textbook 1968 Springer Science+Business Media New

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发表于 2025-3-21 17:52:32 | 显示全部楼层 |阅读模式
期刊全称Boolean Methods in Operations Research and Related Areas
影响因子2023Peter L. Hammer,Sergiu Rudeanu
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学科分类Ökonometrie und Unternehmensforschung‘ Econometrics and Operations Research
图书封面Titlebook: Boolean Methods in Operations Research and Related Areas;  Peter L. Hammer,Sergiu Rudeanu Textbook 1968 Springer Science+Business Media New
影响因子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‘
Pindex Textbook 1968
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发表于 2025-3-21 20:38:00 | 显示全部楼层
0078-3390 certainly stimulate a great deal of additional research in both theory and application. RICHARD BELLMAN University of Southern California FOf(,WOl‘978-3-642-85825-3978-3-642-85823-9Series ISSN 0078-3390
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J. P. Daudey,J. P. Malrieu,O. RojasWe are going to present some typical problems leading either to the minimization of certain pseudo-Boolean functions, or to the solution of certain Boolean equations, in order to justify the abstract study of Boolean algebras, Boolean equations, pseudo-Boolean functions, etc. given in the first chapters of the book.
发表于 2025-3-22 11:38:26 | 显示全部楼层
Introduction to the Loge TheoryIn this chapter the basic definitions and properties of the Boolean algebra, of Boolean functions, of Boolean matrices and of the Boolean rings will be presented, in order to facilitate the understanding of Chapters II–VI, where the basic techniques used in this book will be developed.
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Jaqueline Langlet,Jean-Paul Malrieu, that is equations of the form ., where . is a pseudo-Boolean function, have been studied by R. Fortet [1–3], P. Camion [2], and P. L. Hammer [3, 4]. These authors have suggested various methods for expressing the general solution in a parametric form.
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Comments on Excitons and LocalizationThe results of the preceding two chapters will now be used in order to solve ., that is problems of minimizing (maximizing) pseudo-Boolean functions with variables possibly subject to pseudo-Boolean constraints.
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Applications of Pair Density AnalysisAny nonlinear pseudo-Boolean program may be reduced to a linear one, if the linearization process of . (see § 7 of Chapter IV) is applied to the objective function as well as to the constraints.
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