Activity Analysis of Production and Allocation

Abstract: Preliminary Pages [i-xiv]
PART ONE: Theory of Programming and Allocation
1 The Programming of Interdependent Activities: General Discussion, by Marshall K. Wood and George B. Dantzig [15]
2 The Programming of Interdependent Activities: Mathematical Model, by George B. Dantzig [19]
3 Analysis of Production as an Efficient Combination of Activities, by Tjalling C. Koopmans [33]
4 The Aggregate Linear Production Function and Its Applications to von Neumann's Economic Model, by Nicholas Georgescu-Roegen [98]
5 Relaxation Phenomena in Linear Dynamic Models, by Nicholas Georgescu-Roegen [116]
6 Uses of Leontief's Open Input-Output Models, by Harlan M. Smith [132]
7 Abstract of a Theorem Concerning Substitutability in Open Leontief Models, by Paul A. Samuelson [142]
8 Alternative Proof of the Substitution Theorem of Leontief Models in the Case of Three Industries, by Tjalling C. Koopmans [147]
9 Alternative Proof of the Substitution Theorem of Leontief Models in the General Case, by Kenneth J. Arrow [155]
10 Some Properties of a Generalized Leontief Model, by Nicholas Georgescu-Roegen [165]
PART TWO: Applications of Allocation Models
11 On the Choice of a Crop Rotation Plan, by Clifford Hildreth and Stanley Reiter [177]
12 Development of Dynamic Models for Program Planning, by Marshall K. Wood and Murray A. Geisler [189]
13 Representation in a Linear Model of Nonlinear Growth Curves in the Aircraft Industry, by Marshall K. Wood [216]
14 A Model of Transportation, by Tjalling C. Koopmans and Stanley Reiter [222]
15 Effects of Technological Change in a Linear Model, by Herbert A. Simon
With comments by Ansley Coale and Yale Brozen [260]
16 The Accuracy of Economic Observations, by Oskar Morgenstern [282]
PART THREE: Mathematical Properties of Convex Sets
17 Convex Polyhedral Cones and Linear Inequalities, by David Gale [287]
18 Theory of Convex Polyhedral Cones, by Murray Gerstenhaber [298]
19 Linear Programming and the Theory of Games, by David Gale, Harold W. Kuhn, and Albert W. Tucker [317]
20 A Proof of the Equivalence of the Programming Problem and the Game Problem, by George B. Dantzig [330]
PART FOUR: Problems of Computation
21 Maximization of a Linear Function of Variables Subject to Linear Inequalities, by George B. Dantzig [339]
22 Application of the Simplex Method to a Game Theory Problem, by Robert Dorfman [348]
23 Application of the Simplex Method to a Transportation Problem, by George B. Dantzig [359]
23 Iterative Solution of Games by Fictitious Play, by George W. Brown [374]
25 Computational Suggestions for Maximizing a Linear Function Subject to Linear Inequalities, by George W. Brown and Tjalling C. Koopmans [377]
References [381]
Index of Names & Subject Index [387]
Document Control Number(s): CFM 13
Author(s): Tjalling C. Koopmans & John Wiley & Sons
Publication Date: January 1951

Preliminary Pages [i-xiv]
PART ONE: Theory of Programming and Allocation
1	The Programming of Interdependent Activities: General Discussion, by Marshall K. Wood and George B. Dantzig [15]
2	The Programming of Interdependent Activities: Mathematical Model, by George B. Dantzig [19]
3	Analysis of Production as an Efficient Combination of Activities, by Tjalling C. Koopmans [33]
4	The Aggregate Linear Production Function and Its Applications to von Neumann's Economic Model, by Nicholas Georgescu-Roegen [98]
5	Relaxation Phenomena in Linear Dynamic Models, by Nicholas Georgescu-Roegen [116]
6	Uses of Leontief's Open Input-Output Models, by Harlan M. Smith [132]
7	Abstract of a Theorem Concerning Substitutability in Open Leontief Models, by Paul A. Samuelson [142]
8	Alternative Proof of the Substitution Theorem of Leontief Models in the Case of Three Industries, by Tjalling C. Koopmans [147]
9	Alternative Proof of the Substitution Theorem of Leontief Models in the General Case, by Kenneth J. Arrow [155]
10	Some Properties of a Generalized Leontief Model, by Nicholas Georgescu-Roegen [165]
PART TWO: Applications of Allocation Models
11	On the Choice of a Crop Rotation Plan, by Clifford Hildreth and Stanley Reiter [177]
12	Development of Dynamic Models for Program Planning, by Marshall K. Wood and Murray A. Geisler [189]
13	Representation in a Linear Model of Nonlinear Growth Curves in the Aircraft Industry, by Marshall K. Wood [216]
14	A Model of Transportation, by Tjalling C. Koopmans and Stanley Reiter [222]
15	Effects of Technological Change in a Linear Model, by Herbert A. Simon With comments by Ansley Coale and Yale Brozen [260]
16	The Accuracy of Economic Observations, by Oskar Morgenstern [282]
PART THREE: Mathematical Properties of Convex Sets
17	Convex Polyhedral Cones and Linear Inequalities, by David Gale [287]
18	Theory of Convex Polyhedral Cones, by Murray Gerstenhaber [298]
19	Linear Programming and the Theory of Games, by David Gale, Harold W. Kuhn, and Albert W. Tucker [317]
20	A Proof of the Equivalence of the Programming Problem and the Game Problem, by George B. Dantzig [330]
PART FOUR: Problems of Computation
21	Maximization of a Linear Function of Variables Subject to Linear Inequalities, by George B. Dantzig [339]
22	Application of the Simplex Method to a Game Theory Problem, by Robert Dorfman [348]
23	Application of the Simplex Method to a Transportation Problem, by George B. Dantzig [359]
23	Iterative Solution of Games by Fictitious Play, by George W. Brown [374]
25	Computational Suggestions for Maximizing a Linear Function Subject to Linear Inequalities, by George W. Brown and Tjalling C. Koopmans [377]
References [381]
Index of Names & Subject Index [387]