Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
Book Description
Pseudo-Boolean Methods for Bivalent Programming
Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
Book Description
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
Book Description
Probabilistic Methods in Discrete Mathematics
Author: Valentin Fedorovič Kolčin
Publisher: VSP
ISBN: 9789067641586
Category : Science
Languages : en
Pages : 484
Book Description
Publisher: VSP
ISBN: 9789067641586
Category : Science
Languages : en
Pages : 484
Book Description
Integer Programming and Related Areas
Author: R.v. Randow
Publisher: Springer Science & Business Media
ISBN: 3642464491
Category : Business & Economics
Languages : en
Pages : 349
Book Description
Publisher: Springer Science & Business Media
ISBN: 3642464491
Category : Business & Economics
Languages : en
Pages : 349
Book Description
Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics
Author: V.F. Kolchin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112318986
Category : Mathematics
Languages : en
Pages : 480
Book Description
No detailed description available for "Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112318986
Category : Mathematics
Languages : en
Pages : 480
Book Description
No detailed description available for "Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics".
Integer Programming and Related Areas
Author: C. Kastning
Publisher: Springer Science & Business Media
ISBN: 3662022842
Category : Business & Economics
Languages : en
Pages : 504
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3662022842
Category : Business & Economics
Languages : en
Pages : 504
Book Description
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.
Boolean Methods in Operations Research and Related Areas
Author: P. L. Hammer
Publisher: Springer Science & Business Media
ISBN: 3642858236
Category : Business & Economics
Languages : en
Pages : 343
Book Description
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'
Publisher: Springer Science & Business Media
ISBN: 3642858236
Category : Business & Economics
Languages : en
Pages : 343
Book Description
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'
Combinatorial Programming: Methods and Applications
Author: B. Roy
Publisher: Springer Science & Business Media
ISBN: 9401175578
Category : Computers
Languages : en
Pages : 392
Book Description
"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.
Publisher: Springer Science & Business Media
ISBN: 9401175578
Category : Computers
Languages : en
Pages : 392
Book Description
"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.
Groups of Homotopy Classes
Author: M. Arkowitz
Publisher: Springer
ISBN: 3540349685
Category : Mathematics
Languages : en
Pages : 39
Book Description
Many of the sets that one encounters in homotopy classification problems have a natural group structure. Among these are the groups [A, nX] of homotopy classes of maps of a space A into a loop-space nx. Other examples are furnished by the groups (̃y) of homotopy classes of homotopy equivalences of a space Y with itself. The groups [A, nX] and (̃Y) are not necessarily abelian. It is our purpose to study these groups using a numerical invariant which can be defined for any group. This invariant, called the rank of a group, is a generalisation of the rank of a finitely generated abelian group. It tells whether or not the groups considered are finite and serves to distinguish two infinite groups. We express the rank of subgroups of [A, nX] and of C(Y) in terms of rational homology and homotopy invariants. The formulas which we obtain enable us to compute the rank in a large number of concrete cases. As the main application we establish several results on commutativity and homotopy-commutativity of H-spaces. Chapter 2 is purely algebraic. We recall the definition of the rank of a group and establish some of its properties. These facts, which may be found in the literature, are needed in later sections. Chapter 3 deals with the groups [A, nx] and the homomorphisms f*: [B, nl̃ ̃[A, nx] induced by maps f: A ̃B. We prove a general theorem on the rank of the intersection of coincidence subgroups (Theorem 3. 3).
Publisher: Springer
ISBN: 3540349685
Category : Mathematics
Languages : en
Pages : 39
Book Description
Many of the sets that one encounters in homotopy classification problems have a natural group structure. Among these are the groups [A, nX] of homotopy classes of maps of a space A into a loop-space nx. Other examples are furnished by the groups (̃y) of homotopy classes of homotopy equivalences of a space Y with itself. The groups [A, nX] and (̃Y) are not necessarily abelian. It is our purpose to study these groups using a numerical invariant which can be defined for any group. This invariant, called the rank of a group, is a generalisation of the rank of a finitely generated abelian group. It tells whether or not the groups considered are finite and serves to distinguish two infinite groups. We express the rank of subgroups of [A, nX] and of C(Y) in terms of rational homology and homotopy invariants. The formulas which we obtain enable us to compute the rank in a large number of concrete cases. As the main application we establish several results on commutativity and homotopy-commutativity of H-spaces. Chapter 2 is purely algebraic. We recall the definition of the rank of a group and establish some of its properties. These facts, which may be found in the literature, are needed in later sections. Chapter 3 deals with the groups [A, nx] and the homomorphisms f*: [B, nl̃ ̃[A, nx] induced by maps f: A ̃B. We prove a general theorem on the rank of the intersection of coincidence subgroups (Theorem 3. 3).
Optimization in integers and related extremal problems
Author: Thomas L. Saaty
Publisher: RWS Publications
ISBN: 1888603372
Category : Business & Economics
Languages : en
Pages : 310
Book Description
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.
Publisher: RWS Publications
ISBN: 1888603372
Category : Business & Economics
Languages : en
Pages : 310
Book Description
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.
Formal Groups
Author: A. Fröhlich
Publisher: Springer
ISBN: 3540359168
Category : Mathematics
Languages : en
Pages : 147
Book Description
Publisher: Springer
ISBN: 3540359168
Category : Mathematics
Languages : en
Pages : 147
Book Description