#675

Most Influential Person

American mathematician

According to Wikipedia, George Bernard Dantzig was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his development of the simplex algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems in statistical theory, which he had mistaken for homework after arriving late to a lecture by Jerzy Neyman.

- Linear programming and extensions (1965) (3783)
- The Truck Dispatching Problem (1959) (2734)
- Decomposition Principle for Linear Programs (1960) (2227)
- Solution of a Large-Scale Traveling-Salesman Problem (1954) (1300)
- Linear Programming Under Uncertainty (2004) (1273)
- Discrete-Variable Extremum Problems (1957) (871)
- COMPLEMENTARY PIVOT THEORY OF MATHEMATICAL PROGRAMMING (1968) (769)
- Introduction to Combinatorial Mathematics. (1971) (730)
- Chemical Equilibrium in Complex Mixtures (1958) (726)
- THE DECOMPOSITION ALGORITHM FOR LINEAR PROGRAMS (1961) (711)
- Linear Programming 1: Introduction (1997) (500)
- Fourier-Motzkin Elimination and Its Dual (1973) (387)
- Decision Making and Problem Solving (1987) (379)
- Letter to the Editor - A Comment on Edie's "Traffic Delays at Toll Booths" (1954) (346)
- Notes on Linear Programming: Part 1. The Generalized Simplex Method for Minimizing a Linear Form under Linear Inequality Restraints (1954) (316)
- MINIMIZING THE NUMBER OF CARRIERS TO MEET A FIXED SCHEDULE (1954) (288)
- The fixed charge problem (1968) (253)
- Multi-stage stochastic linear programs for portfolio optimization (1993) (245)
- On the continuity of the minimum set of a continuous function (1967) (234)
- On the Shortest Route Through a Network (1960) (210)
- ON THE SIGNIFICANCE OF SOLVING LINEAR PROGRAMMING PROBLEMS WITH SOME INTEGER VARIABLES (1960) (205)
- Symmetric dual nonlinear programs. (1965) (200)
- Programming of Interdependent Activities: II Mathematical Model (1949) (198)
- ON THE SOLUTION OF TWO-STAGE LINEAR PROGRAMS UNDER UNCERTAINTY. NOTES ON LINEAR PROGRAMMING AND EXTENSIONS. PART 55 (1961) (197)
- On the Max Flow Min Cut Theorem of Networks. (1955) (196)
- Parallel processors for planning under uncertainty (1990) (177)
- Generalized Upper Bounding Techniques (1967) (176)
- The Allocation of Aircraft to Routes—An Example of Linear Programming Under Uncertain Demand (1956) (171)
- The decomposition algorithm for linear programming: notes on linear programming and extensions-part 57. (1961) (164)
- On a Linear-Programming, Combinatorial Approach to the Traveling-Salesman Problem (1959) (157)
- A generalization of the linear complementarity problem (1970) (150)
- Reminiscences about the origins of linear programming (1982) (141)
- FINDING A CYCLE IN A GRAPH WITH MINIMUM COST TO TIME RATIO WITH APPLICATION TO A SHIP ROUTING PROBLEM (1966) (135)
- On the Non-Existence of Tests of "Student's" Hypothesis Having Power Functions Independent of $\sigma$ (1940) (134)
- UPPER BOUNDS, SECONDARY CONSTRAINTS, AND BLOCK TRIANGULARITY IN LINEAR PROGRAMMING (1955) (124)
- 7* A Primal-Dual Algorithm for Linear Programs (1957) (119)
- Formulating and solving the network design problem by decomposition (1979) (117)
- The Diet Problem (1990) (111)
- AUTOMATED MULTIPHASIC SCREENING AND DIAGNOSIS. (1964) (108)
- Origins of the simplex method (1990) (103)
- ALL SHORTEST ROUTES IN A GRAPH (1966) (93)
- 23. A Decomposition Principle for Linear Programs (1963) (87)
- Compact city;: A plan for a liveable urban environment (1973) (85)
- Linear Programming in a Markov Chain (1962) (85)
- Large-Scale Stochastic Linear Programs: Importance Sampling and Benders Decomposition (1991) (84)
- Integral Extreme Points (1968) (78)
- Computation of maximal flows in networks (1955) (76)
- RECENT ADVANCES IN LINEAR PROGRAMMING (1956) (75)
- On the Fundamental Lemma of Neyman and Pearson (1951) (75)
- THE PRODUCT FORM FOR THE INVERSE IN THE SIMPLEX METHOD (1954) (72)
- Optimal Solution of a Dynamic Leontief Model with Substitution (1955) (71)
- Mathematics of the decision sciences (1968) (59)
- Programming of Interdependent Activities: I General Discussion (1949) (55)
- Linear Programming (2002) (54)
- A Linear Programming Approach to the Chemical Equilibrium Problem (1958) (53)
- Linear Programming and Its Extensions. (1966) (53)
- A complementarity algorithm for an optimal capital path with invariant proportions (1974) (50)
- A complementarity algorithm for an optimal capital path with invariant proportions (1974) (50)
- Planning under uncertainty using parallel computing (1988) (38)
- A strictly improving linear programming Phase I algorithm (1993) (36)
- Maximum Diameter of Abstract Polytopes (1974) (35)
- Note on solving linear programs in integers (1959) (33)
- On the Status of Multistage Linear Programming Problems (1959) (33)
- Linear Control Processes and Mathematical Programming (1966) (32)
- Converting a Converging Algorithm into a Polynomially Bounded Algorithm (1991) (29)
- Lectures in differential equations (1969) (28)
- Decomposition techniques for multi-area generation and transmission planning under uncertainty: Final report (1989) (26)
- POSITIVE (SEMI-) DEFINITE MATRICES AND MATHEMATICAL PROGRAMMING (1963) (26)
- ALL SHORTEST ROUTES FROM A FIXED ORIGIN IN A GRAPH (1966) (25)
- A Machine-Job Scheduling Model (1960) (25)
- COMPACT BASIS TRIANGULARIZATION FOR THE SIMPLEX METHOD (1962) (25)
- THE APPLICATION OF DECOMPOSITION TO TRANSPORTATION NETWORK ANALYSIS (1976) (25)
- Inductive Proof of the Simplex Method (1960) (25)
- GENERALIZED UPPER BOUNDED TECHNIQUES FOR LINEAR PROGRAMMING - I (1964) (25)
- On the Reduction of Certain Multiplicative Chemical Equilibrium Systems to Mathematically Equivalent Additive Systems (1962) (24)
- The Problem of Routing Aircraft--A Mathematical Solution. (1954) (23)
- A first order approach to a class of multi-time-period stochastic programming problems (1986) (22)
- A PRIMAL--DUAL ALGORITHM (1956) (22)
- The Stanford pilot energy/economic model (1978) (22)
- A Build-Up Interior Method for Linear Programming: Affine Scaling Form (1990) (22)
- A Basis Factorization Method for Block Triangular Linear Programs. (1978) (21)
- Constructive proof of the Min-Max theorem (1956) (21)
- Determining Optimal Policies for Ecosystems (1974) (21)
- Expected Number of Steps of the Simplex Method for a Linear Program with a Convexity Constraint. (1980) (20)
- A PRODUCTION SMOOTHING PROBLEM (1955) (20)
- Large-Scale Linear Programming (1981) (20)
- Stochastic programming : the state of the art : in honor of George B. Dantzig (2011) (20)
- Making progress during a stall in the simplex algorithm (1989) (20)
- 11. Dilworth’s Theorem on Partially Ordered Sets (1957) (19)
- On a Pilot Linear Programming Model for Assessing Physical Impact on the Economy of a Changing Energy Picture (1975) (19)
- Approaches to Stochastic Programming with Application to Electric Power Systems (1993) (19)
- Solving stochastic linear programs on a Hypercube multicomputer. Technical report (1991) (19)
- A Control Problem of Bellman (1971) (17)
- Mathematical decomposition techniques for power system expansion planning: Volume 1, Decomposition methods and uses: Final report (1988) (16)
- QUADRATIC PROGRAMMING. A VARIANT OF THE WOLFE-MARKOWITZ ALGORITHMS (1961) (16)
- A Probabilistic Lower Bound for Two-Stage Stochastic Programs (2010) (15)
- On the Reduction of an Integrated Energy and Interindustry Model to a Smaller Linear Program (1976) (15)
- Existence of A-avoiding paths in abstract polytopes (1974) (15)
- An algorithm for a piecewise linear model of trade and production with negative prices and bankruptcy (1979) (15)
- Deriving a Utility Function For the U.S. Economy (1988) (14)
- Triangulations (tilings) and certain block triangular matrices (1985) (14)
- SPARSE MATRIX TECHNIQUES IN TWO MATHEMATICAL PROGRAMMING CODES (1969) (13)
- Intelligent control and optimization under uncertainty with application to hydro power (1997) (13)
- The parallel decomposition of linear programs (1989) (13)
- On a Class of Distributions that Approach the Normal Distribution Function (1939) (12)
- A Build-up Interior-point Method for Linear Programming: Aane Scaling Form (1991) (12)
- Algorithmic advances in stochastic programming (1993) (10)
- Comments on Khachian's Algorithm for Linear Programming. (1979) (10)
- The Basic George B. Dantzig (2003) (10)
- Planning under uncertainty (1999) (9)
- Impact of Linear Programming on Computer Development (1985) (9)
- A Case Study of Forest Ecosystem Pest Management (1975) (9)
- A HOSPITAL ADMISSION PROBLEM (1969) (9)
- Mathematical programming : essays in honor of George B. Dantzig (1985) (9)
- Brief Survey of Soft Computing Techniques Used for Optimization of TSP (2013) (9)
- Thoughts on Linear Programming and Automation (1957) (9)
- Maximum Payloads Per Unit Time Delivered Through an Air Network (1964) (8)
- Formulating an objective for an economy (1988) (8)
- The Role of Models in Determining Policy for Transition to a more Resilient Technological Society (1979) (8)
- Formulating a Pilot Model for Energy in Relation to the National Economy (1975) (8)
- Bracketing to speed convergence illustrated on the von Newmann algorithm for finding a feasible solution to a linear program with a convexity contraint (1992) (8)
- OPTIMIZATION IN OPERATIONS RESEARCH: SOME EXAMPLES (1965) (8)
- A Decomposition and Scaling-Inequality for Line-Sum-Symmetric Nonnegative Matrices (1985) (7)
- CONCEPTS, ORIGINS, AND USE OF LINEAR PROGRAMMING (1957) (7)
- The ORSA New Orleans Address on Compact City (1973) (7)
- A Strictly Improving Phase 1 Algorithm Using Least-Squares Subproblems (1992) (7)
- Linear Optimal Control Problems and Generalized Linear Programs (1981) (7)
- THE SIMPLEX METHOD (1956) (7)
- Solving Staircase Linear Programs by a Nested Block-Angular Method (1973) (6)
- MPL, Mathematical Programming Language: specification manual for Committee review (1970) (6)
- Simplex Method for Solving Linear Programs (1987) (6)
- COMPLEMENTARY SPANNING TREES (1969) (6)
- Computing Tetraethyl-Lead Requirements in a Linear-Programming Format (1960) (6)
- Mathematical decomposition techniques for power system expansion planning: Volume 5, Use of parallel computers for multi-area expansion planning: Preliminary results, Final report (1988) (6)
- Deriving a Utility Function For the Economy. (1985) (6)
- A Mathematical Model of the Chemistry of the External Respiratory System (1961) (5)
- Notes on Linear Programming — Part XXXII (1956) (5)
- On the need for a system optimization laboratory (1972) (5)
- SOLVING TWO-MOVE GAMES WITH PERFECT INFORMATION (1958) (5)
- Fourier-Motzkin Elimination and Its Dual with Application to Integer Programming (1975) (5)
- Integrability of the multiple-period equilibrium model part II (1989) (5)
- Discovering Hidden Totally Leontief Substitution Systems (1978) (4)
- Updating the Product Form of the Inverse for the Revised Simplex Method (1965) (4)
- Management Science in the World of Today and Tomorrow (1967) (4)
- Notes on Linear Programming--Part V: A Product-Form Tableau for Revised Simplex Method: Computing Appendix for RM-1268 (1954) (4)
- MATHEMATICS OF THE DECISION SCIENCES, PART 2. LECTURES IN APPLIED MATHEMATICS. VOLUME 12, (1968) (4)
- E.M.L. Beale, FRS; friend and colleague (1987) (4)
- Time-Staged Linear Programs. (1980) (4)
- SOLVING THE CHEMICAL EQUILIBRIUM PROBLEM USING THE DECOMPOSITION PRINCIPLE (1960) (4)
- LARGE-SCALE SYSTEM OPTIMIZATION: A REVIEW (1965) (4)
- Pricing underemployed capacity in a linear economic model. Technical report SOL 79-2 (1979) (3)
- Time-Staged Methods in Linear Programming, Comments and Early History. (1980) (3)
- 14. The Classical Transportation Problem (1963) (3)
- Energy Models and Large-Scale Systems Optimization. (1976) (3)
- GENERALIZED UPPER BOUNDING TECHNIQUES FOR LINEAR PROGRAMMING, 2 (1965) (3)
- An institutionalized Divvy economy (1975) (3)
- Letter to the Editor—Note on Klein's “Direct Use of Extremal Principles in Solving Certain Problems Involving Inequalities” (1956) (3)
- Molecular-Sized Channels and Flows against the Gradient (1962) (3)
- 28. The Allocation of Aircraft to Routes under Uncertain Demand (1963) (2)
- Bracketing to speed convergence illustrated on the von Newmann algorithm for finding a feasible solution to a linear program with a convexity contraint. Technical report (1992) (2)
- ON POSITIVE PRINCIPAL MINORS (1967) (2)
- NOTE ON B. KLEIN'S 'DIRECT USE OF EXTREMAL PRINCIPLES IN SOLVING CERTAIN PROBLEMS INVOLVING INEQUALITIES' (1957) (2)
- The Mathematical Programming Language (MPL) (1971) (2)
- 5. The Simplex Method (1963) (2)
- Analyzing the effects of technological change: A computable general equilibrium approach (1988) (2)
- Mathematical decomposition techniques for power system expansion planning: Volume 3, An integrated methodology for VAR sources planning: Final report (1988) (2)
- Drews Institutionalized Divvy Economy (1973) (2)
- AT THE INTERFACE OF MODELING AND ALGORITHMS RESEARCH11Research supported by the Energy Research and Development Administration Contracts EY-76-S-03-0326 PA#18, and EY-76-S-03-0326 PA#52; the Office of Naval Research Contract N00014-75-C-0865; the National Science Foundation Grant MCS76-20019; the El (1978) (2)
- New Mathematical Methods in the Life Sciences (1964) (2)
- Using the Pilot Model to Study the Effects of Technological Change (1986) (2)
- The Stanford PILOT energy/economic model. Technical report (1977) (1)
- 1. The Linear Programming Concept (1963) (1)
- On steady-state intercompartmental flows. (1967) (1)
- Formulating a linear programming model (1956) (1)
- 13. Games And Linear Programs (1963) (1)
- 17. Networks and the Transshipment Problem (1963) (1)
- Mathematical decomposition techniques for power system expansion planning: Volume 4, Security-constrained optimal power flow with postcontingency corrective rescheduling: Final report (1988) (1)
- A Generalized Programming Solution to a Convex Programming Problem with a Homogeneous Objective (1973) (1)
- OPERATIONS RESEARCH IN THE WORLD OF TODAY AND TOMORROW (1965) (1)
- On a Model for Computing Round-Off Error of a Sum (1970) (1)
- 15. Optimal Assignment and Other Distribution Problems (1963) (1)
- On the relation of operations research to mathematics (1972) (1)
- 9. The Simplex Method Using Multipliers (1963) (1)
- 10. Finiteness of the Simplex Method under Perturbation (1963) (1)
- OPTIMAL ASSIGMENT OF COMPUTER STORAGE BY CHAIN DECOMPOSITION OF PARTIALLY ORDERED SETS (1966) (1)
- Energy models and large-scale systems optimization. Technical report (1976) (1)
- Three geographic decomposition approaches in transportation network analysis (1980) (1)
- On a convex programming problem of Rozanov (1974) (1)
- Linear programming in a Markov chain: notes on linear programming and extensions-part 59. (1962) (1)
- AD-750 674 FOURIER-MOTZKIN ELIMINATION AND ITS DUAL (2014) (0)
- COMPLEHENTARY SPANNING TREES BY GEÜRC (2014) (0)
- Notes on Linear Programming: Part XLVII Solving Linear Programs in Integers (1958) (0)
- Stephen Maurer's Response (1985) (0)
- FUTURE DEVELOPMENT OF OPERATIONS RESEARCH (1961) (0)
- 6. Proof of the Simplex Algorithm and the Duality Theorem (1963) (0)
- Project Status Report: Ecology and Environment Project (1974) (0)
- Notes on Linear Programming — Part XXXI: A Primal — Dual Algorithm (1956) (0)
- THE JUNE MEETING IN EUGENE The four hundred eight-second meeting of the American Mathe- (2007) (0)
- Problems for Solution: 3951, 4810-4815 (1958) (0)
- New directions in mathematical programmings (1959) (0)
- Solving linear programs under uncertainty, using decomposition, importance sampling and parallel processors. Progress report (1994) (0)
- The Fourth International Conference on Complementarity Problems Dedicated to the Memory of (0)
- STOCHASTIC MATHEMATICAL PROGRAMS. Project Summary 1966--1972, and Progress Report January 1, 1972--September 30, 1972. (1972) (0)
- Selected Rand Books (1963) (0)
- A Method forOptimizationof NonlinearSystemResponse (1970) (0)
- A strictly improving linear programming alorithm based on a series of Phase 1 problems (1992) (0)
- 18. Variables with Upper Bounds (1963) (0)
- Systems optimization project. Progress report, 30 September 1972--30 June 1973 (1973) (0)
- THE CENTRAL MATHEMATICAL PROBLEM (1956) (0)
- 12. The Price Concept in Linear Programming (1963) (0)
- 27. Stigler’s Nutrition Model: An Example of Formulation and Solution (1963) (0)
- 00 l > ^ OlARGE-SCALE SYSTEM OPTIMIZATION : 2 A REVIEW by (2014) (0)
- 21. The Weighted Distribution Problem (1963) (0)
- Mathematical Methods in Operations Research and Computer Science (1992) (0)
- Notes on Linear Programming: Part VII The Dual Simplex Algorithm (1954) (0)
- Obituary (1910) (0)
- Numerical applications: updating the product form of the inverse for the revised simplex method (1965) (0)
- Building a linear programming model (1959) (0)
- 0 ] 1 F ] ILE Coll ) Systems Optimization Laboratory (0)
- Systems Optimization Project. Progress report, 1 October 1975--30 June 1976. [Systems Optimization Lab. , Dept. of Operations Research, Stanford Univ] (1976) (0)
- Planning under Uncertainty using Parallel (0)
- 24. Convex Programming (1963) (0)
- Parallel processors for planning under uncertainty 3 IA 11 j A 21 A 22 A 31 A 32 A (2005) (0)
- 11. Variants of the Simplex Algorithm (1963) (0)
- THE NOVEMBER MEETING IN LOS ANGELES The four hundred eighty-seventh meeting of the American Mathe- (2007) (0)
- 19. Maximal Flows in Networks (1963) (0)
- MPL: Mathematical Programming Language (1968) (0)
- 20. The Primal-Dual Method for Transportation Problems (1963) (0)
- OlARGE-SCALE SYSTEM OPTIMIZATION : 2 A REVIEW (2014) (0)
- Upper Bounded Variables in Linear Programming. (1957) (0)
- Interface of modeling and algorithms research. Technical report SOL 77-29 (1977) (0)
- 22. Programs with Variable Coefficients (1963) (0)
- PROGRESS REPORT, JUNE 15, 1970--SEPTEMBER 30, 1971. (1971) (0)
- Bibliography of Soviet and Western European Publications on Large-Scale Linear Programming (1984) (0)
- 4. Linear Equation and Inequality Systems (1963) (0)
- Status of Solution of Large-Scale Linear Programming Problems (Notes on Linear Programming: Part 18) (1954) (0)
- PROFESSOR GEORGE BERNARD DANTZIG, LIFE AND LEGEND (2005) (0)
- 2. Origins and Influences (1963) (0)
- 7. The Geometry of Linear Programs (1963) (0)
- 16. The Transshipment Problem (1963) (0)
- LECTURE SERIES IN DIFFERENTIAL EQUATIONS, SESSION I. CONTROL THEORY (1965) (0)
- LINEAR INEQUALITY SYSTEMS ELIMINATION OF VARIABLES ELIMINATION OF EQUATIONS INTEGER PROGRAMS (2014) (0)
- A Few Remarks on the History of Mst{problem Dedicated to the Memory of Professor Otakar Bor Uvka (1997) (0)
- Deriving a utility function for the US economy. Technical report (1988) (0)
- COMMENTS ON J. VON NEUMANN'S 'THE PROBLEM OF OPTIMAL ASSIGNMENT IN A TWO-PERSON GAME' (1952) (0)
- The word " fuzzy " is used in the sense of (2007) (0)
- In memory of Tjalling C. Koopmans (1985) (0)
- An equivalent linear-programming problem. (1958) (0)
- On Modified Divided Differences II (2010) (0)
- Comments on the Budworm for Forest Ecology Model (1973) (0)
- Automated multiphasic screening and diagnosis. 1964. (1994) (0)
- Large-scale linear programming : proceedings of a IIASA workshop, 2-6 June 1980 (1981) (0)
- 8. Pivoting, Vector Spaces, Matrices, and Inverses (1963) (0)
- Special seminar on operations research (1959) (0)
- In honor of A. W. Tucker’s contributions to mathematical programming (1974) (0)

This paper list is powered by the following services:

George Dantzig is affiliated with the following schools:

This website uses cookies to enhance the user experience. Read the Privacy Policy for more.

Subscribe To Newsletter?Yes!