Dantzig, George B. (George Bernard) 19142005
Overview
Works:  243 works in 771 publications in 8 languages and 7,123 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Collector, Dedicatee 
Classifications:  QA265, 519.92 
Publication Timeline
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Most widely held works about
George B Dantzig
 The basic George B. Dantzig by George B Dantzig( Book )
 Mathematical programming : essays in honor of George B. Dantzig by Richard Cottle( Book )
 John Von Neumann and Klara Dan Von Neumann papers by John Von Neumann( )
 Dantzig, George Bernard : Computer Science( )
 George and Alexandra Forsythe papers by George E Forsythe( )
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fewer
Most widely held works by
George B Dantzig
Linear programming and extensions by
George B Dantzig(
Book
)
124 editions published between 1959 and 2012 in 8 languages and held by 1,937 WorldCat member libraries worldwide
The linear programming concept; Origins and influences; Formulating a linear programming model; Linear equation and inequality systems; The simplex method; Proof of the simplex algorithm and the duality theorem; The geometry of linear programs; Pivoting, vector spaces, matrices, and inverses; The simplex method using multipliers; Finiteness of the simplex method under perturbation; Variants of the simplex algorithm; The price concept in linear programming; Games and linear programs; The classical transportation problem; Optimal assignment and other distribution problems; The transshipment problem; Networks and the transshipment problem; Variables with upper bounds; Maximal flows in networks; The primaldual method for transportation problems; The weighted distribution problem; Programs with variable coefficients; A decomposition principle for linear programs; Convex programming; Uncertainty; Discrete variable extremum problems; Stigler's nutrition model: an example of formulation and solution; The allocation of aircraft to routes under uncertain demand
124 editions published between 1959 and 2012 in 8 languages and held by 1,937 WorldCat member libraries worldwide
The linear programming concept; Origins and influences; Formulating a linear programming model; Linear equation and inequality systems; The simplex method; Proof of the simplex algorithm and the duality theorem; The geometry of linear programs; Pivoting, vector spaces, matrices, and inverses; The simplex method using multipliers; Finiteness of the simplex method under perturbation; Variants of the simplex algorithm; The price concept in linear programming; Games and linear programs; The classical transportation problem; Optimal assignment and other distribution problems; The transshipment problem; Networks and the transshipment problem; Variables with upper bounds; Maximal flows in networks; The primaldual method for transportation problems; The weighted distribution problem; Programs with variable coefficients; A decomposition principle for linear programs; Convex programming; Uncertainty; Discrete variable extremum problems; Stigler's nutrition model: an example of formulation and solution; The allocation of aircraft to routes under uncertain demand
Studies in optimization by
George B Dantzig(
Book
)
14 editions published in 1974 in English and Undetermined and held by 685 WorldCat member libraries worldwide
14 editions published in 1974 in English and Undetermined and held by 685 WorldCat member libraries worldwide
Linear inequalities and related systems by
Harold W Kuhn(
Book
)
24 editions published between 1956 and 1985 in English and held by 587 WorldCat member libraries worldwide
24 editions published between 1956 and 1985 in English and held by 587 WorldCat member libraries worldwide
Mathematics of the decision sciences by
George B Dantzig(
Book
)
40 editions published between 1968 and 1970 in English and Undetermined and held by 528 WorldCat member libraries worldwide
40 editions published between 1968 and 1970 in English and Undetermined and held by 528 WorldCat member libraries worldwide
Mathematical programming : essays in honor of George B. Dantzig by
Richard Cottle(
Book
)
29 editions published in 1985 in English and Undetermined and held by 307 WorldCat member libraries worldwide
29 editions published in 1985 in English and Undetermined and held by 307 WorldCat member libraries worldwide
Lectures in differential equations by
A. K Aziz(
Book
)
7 editions published in 1969 in English and held by 297 WorldCat member libraries worldwide
7 editions published in 1969 in English and held by 297 WorldCat member libraries worldwide
Linear programming by
George B Dantzig(
Book
)
92 editions published between 1899 and 2013 in 3 languages and held by 295 WorldCat member libraries worldwide
From its inception Linear Programming was envisioned as being applied to large detailed dynamic models of economic and industrial systems. Difficulties of obtaining input data, making use of detailed output data, and the cost of computation have in the past limited applications. Three types of approaches have been proposed for efficient computation. These are reviewed in terms of typical matrix structures to which they are applicable. A list of 128 references is appended. (Author)
92 editions published between 1899 and 2013 in 3 languages and held by 295 WorldCat member libraries worldwide
From its inception Linear Programming was envisioned as being applied to large detailed dynamic models of economic and industrial systems. Difficulties of obtaining input data, making use of detailed output data, and the cost of computation have in the past limited applications. Three types of approaches have been proposed for efficient computation. These are reviewed in terms of typical matrix structures to which they are applicable. A list of 128 references is appended. (Author)
Linear programming by
George B Dantzig(
Book
)
10 editions published between 1997 and 2003 in English and held by 252 WorldCat member libraries worldwide
10 editions published between 1997 and 2003 in English and held by 252 WorldCat member libraries worldwide
Mathematics of the decision sciences(
Book
)
11 editions published between 1968 and 1970 in English and Undetermined and held by 52 WorldCat member libraries worldwide
11 editions published between 1968 and 1970 in English and Undetermined and held by 52 WorldCat member libraries worldwide
Activity analysis of production and allocation : proceedings of a conference by
Yale University(
Book
)
5 editions published between 1951 and 1971 in English and held by 46 WorldCat member libraries worldwide
5 editions published between 1951 and 1971 in English and held by 46 WorldCat member libraries worldwide
The application of decomposition to transportation network analysis by
George B Dantzig(
Book
)
1 edition published in 1976 in English and held by 38 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 38 WorldCat member libraries worldwide
On the continuity of the minimum set of a continuous function by
George B Dantzig(
Book
)
2 editions published in 1966 in English and held by 19 WorldCat member libraries worldwide
This memorandum obtains necessary and sufficient conditions so that the solution of a constrained minimization problem will vary continuously when the constraints and objective function are varied. It also obtains special results in the case that the constraints are linear inequalities. (Author)
2 editions published in 1966 in English and held by 19 WorldCat member libraries worldwide
This memorandum obtains necessary and sufficient conditions so that the solution of a constrained minimization problem will vary continuously when the constraints and objective function are varied. It also obtains special results in the case that the constraints are linear inequalities. (Author)
Stochastic programming the state of the art ; in honor of George B. Dantzig(
)
1 edition published in 2011 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 17 WorldCat member libraries worldwide
Natural gas transmission system optimization(
Book
)
3 editions published in 1970 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1970 in English and held by 17 WorldCat member libraries worldwide
Stochastic programming : the state of the art in honor of George B. Dantzig by
Gerd Infanger(
Book
)
5 editions published between 2010 and 2011 in English and Undetermined and held by 13 WorldCat member libraries worldwide
From the Preface: "The preparation of this book started in 2004, when George B. Dantzig and I, following a longstanding invitation by Fred Hillier to contribute a volume to his "International Series in Operations Research and Management Science", decided finally to go ahead with editing a volume on stochastic programming. The field of stochastic programming (also referred to as optimization under uncertainty or planning under uncertainty) had advanced significantly in the last two decades, both theoretically and in practice. George Dantzig and I felt that it would be valuable t
5 editions published between 2010 and 2011 in English and Undetermined and held by 13 WorldCat member libraries worldwide
From the Preface: "The preparation of this book started in 2004, when George B. Dantzig and I, following a longstanding invitation by Fred Hillier to contribute a volume to his "International Series in Operations Research and Management Science", decided finally to go ahead with editing a volume on stochastic programming. The field of stochastic programming (also referred to as optimization under uncertainty or planning under uncertainty) had advanced significantly in the last two decades, both theoretically and in practice. George Dantzig and I felt that it would be valuable t
Comments on J. Von Neumann's "The problem of optimal assignment in a twoperson game" by
George B Dantzig(
Book
)
3 editions published in 1952 in English and held by 11 WorldCat member libraries worldwide
Certain arguments in J. von Neumann's paper reducing the optimal assignment problem to a twoperson game can be simplified. A simple observation produces a proof that all vertices of the convex of solutions (or a related continuous problem) are permutations; hence, admissible solutions to the original combinatorial problem. (This is a modification of the author's proof that optimal solution to the transportation problem is integral if the row and column totals are integers.) The present proof depends on a wellknown and easily verified theorem that the vertex of a convex defined by mlinear equations in nnonnegative variables (considered as a point in R sub N) has at most m positive components. (Author)
3 editions published in 1952 in English and held by 11 WorldCat member libraries worldwide
Certain arguments in J. von Neumann's paper reducing the optimal assignment problem to a twoperson game can be simplified. A simple observation produces a proof that all vertices of the convex of solutions (or a related continuous problem) are permutations; hence, admissible solutions to the original combinatorial problem. (This is a modification of the author's proof that optimal solution to the transportation problem is integral if the row and column totals are integers.) The present proof depends on a wellknown and easily verified theorem that the vertex of a convex defined by mlinear equations in nnonnegative variables (considered as a point in R sub N) has at most m positive components. (Author)
The basic George B. Dantzig by
George B Dantzig(
Book
)
4 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide
"George B. Dantzig, widely known as the father of linear programming, has been a major influence in mathematics, operations research, and economics. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, nontechnical summaries at the opening of each part of the book introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings."Jacket
4 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide
"George B. Dantzig, widely known as the father of linear programming, has been a major influence in mathematics, operations research, and economics. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, nontechnical summaries at the opening of each part of the book introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings."Jacket
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Related Identities
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 Kuhn, Harold W. (Harold William) 19252014 Author Editor
 Cottle, Richard Author Editor
 Veinott, Arthur F. Editor
 American Mathematical Society Publisher
 Stanford University
 Aziz, A. K. (Abdul Kadir) Author Editor
Useful Links
Associated Subjects
Aldor, Eva Association for Computing Machinery Ballistics Canada Chandrasekhar, S.(Subrahmanyan), Computers Control theory Dan family Dantzig, George B.(George Bernard), Decision making Decomposition method Differential equations Economics Einstein, Albert, Fermi, Enrico, Functions, Continuous Game theory Heisenberg, Werner, Industrial managementMathematical models Industrial priorities Industries Kent, R. H.(Robert Harrington), Large scale systems Linear programming Logic, Symbolic and mathematical Los Alamos Scientific Laboratory Lyman, Richard W Management games Mathematical models Mathematical optimization Mathematical statistics MathematicsStudy and teaching Matrices Natural gas pipelinesData processing Natural gas pipelinesMathematical models Network analysis (Planning) Production (Economic theory) Production functions (Economic theory) Production planning Programming (Mathematics) Stanford University.Department of Mathematics Stochastic programming Strauss, Lewis L Suppes, Patrick, Teller, Edward, Terman, Frederick Emmons, TransportationPlanning United States Weaver, Warren, Wiener, Norbert,
Alternative Names
Dancig, Dž.
Dancig, Dž. 19142005
Dantzig, G. B.
Dantzig, G. B. 1914
Dantzig, G. B. 19142005
Dantzig, G. B. (George Bernard), 1914
Dantzig, G. B. (George Bernard), 19142005
Dantzig, George 1914
Dantzig, George 19142005
Dantzig, George B.
Dantzig, George B. 1914
Dantzig, George B. 19142005
Dantzig, George B. (George Bernard), 1914
Dantzig, George B. (George Bernard), 19142005
Dantzig, George Bernard
Dantzig, George Bernard 19142005
George Dantzig ABD'li matematikçi
George Dantzig Amerikaans wiskundige
George Dantzig amerikansk datavetare och matematiker
George Dantzig amerikansk informatikar og matematikar
George Dantzig amerikansk informatiker og matematiker
George Dantzig matematico e statistico statunitense
George Dantzig mathématicien américain
George Dantzig USamerikanischer Mathematiker
Данциг, Дж 19142005
Данциг, Джордж
Джордж Данціг
جورج دانتزغ
ஜார்ஜ் டாண்ட்சிக்
조지 단치그
ジョージ・ダンツィーグ
ダンツィーク, G. B.
喬治·伯納德·丹齊格
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