# Gerald L. Thompson

#9,554

Most Influential Person Now

American mathematician

## Gerald L. Thompson's AcademicInfluence.com Rankings

Gerald L. Thompsonmathematics Degrees

Mathematics

#864

World Rank

#1530

Historical Rank

#378

USA Rank

Measure Theory

#448

World Rank

#643

Historical Rank

#189

USA Rank

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Mathematics

## Gerald L. Thompson's Degrees

- PhD Mathematics Princeton University
- Masters Mathematics Stanford University

## Why Is Gerald L. Thompson Influential?

(Suggest an Edit or Addition)According to Wikipedia, Gerald L. Thompson was the IBM Professor of Systems and Operations Research in the Tepper School of Business of Carnegie Mellon University. From 1943 to 1946, Thompson served in the Navy as an ensign on the , which was stationed in the Pacific. By correspondence he obtained a Bachelor of Science degree from Iowa State University in 1944. After the war he attended Massachusetts Institute of Technology, graduating with Master of Science in 1948. He then took up further graduate study at University of Michigan, obtaining the Ph.D. in 1953 under the supervision of Robert M. Thrall.

## Gerald L. Thompson's Published Works

### Published Works

- The Theory of Committees and Elections. (1959) (2841)
- Algorithms for Solving Production-Scheduling Problems (1960) (812)
- Optimal Control Theory: Applications to Management Science and Economics (2000) (803)
- Fights, Games, and Debates. (1961) (524)
- 3. The Double Description Method (1953) (366)
- Introduction to finite mathematics (1957) (228)
- A Heuristic Approach to Solving Travelling Salesman Problems (1964) (223)
- Optimal Pricing and Advertising Policies for New Product Oligopoly Models (1984) (193)
- Optimal control theory : applications to management science (1984) (192)
- A GENERALIZATION OF THE VON NEUMANN MODEL OF AN EXPANDING ECONOMY (1956) (167)
- An Optimization Model for Planning Radial Distribution Networks (1979) (165)
- A Branch and Bound Model for Choosing Optimal Substation Locations (1981) (155)
- Benefit-Cost Analysis of Coding Techniques for the Primal Transportation Algorithm (1973) (138)
- Oligopoly Models for Optimal Advertising When Production Costs Obey a Learning Curve (1983) (124)
- Optimal strategies for general price-quality decision models of new products with learning production costs (1996) (120)
- Management Applications of Modern Control Theory (1977) (117)
- Critical Path Analyses Via Chance Constrained and Stochastic Programming (1964) (114)
- PROBABILISTIC AND PARAMETRIC LEARNING COMBINATIONS OF LOCAL JOB SHOP SCHEDULING RULES (1963) (100)
- Decision CPM: A Method for Simultaneous Planning, Scheduling, and Control of Projects (2015) (87)
- An operator theory of parametric programming for the transportation problem‐II (1972) (86)
- Accelerated Algorithms for Labeling and Relabeling of Trees, with Applications to Distribution Problems (1972) (82)
- An Algorithm for Finding a Minimum Equivalent Graph of a Digraph (1969) (79)
- A Forward Algorithm for the Capacitated Lot Size Model with Stockouts (1990) (77)
- Optimal Maintenance Policy and Sale Date of a Machine (1968) (76)
- Games of economic survival (1959) (71)
- A Dynamic Space-Time Network Flow Model for City Traffic Congestion (1987) (69)
- Techniques for Removing Nonbinding Constraints and Extraneous Variables from Linear Programming Problems (1966) (69)
- A Mathematical Approach to the Analysis and Design of Internal Control Systems (1973) (66)
- Turnpike Horizons for Production Planning (1980) (62)
- An Algorithm for Assigning Uses to Sources in a Special Class of Transportation Problems (1973) (57)
- Programming and probability models in operations research (1973) (56)
- Computational economics : economic modeling with optimization software (1992) (55)
- ALGORITHMS FOR MINIMIZING TOTAL COST, BOTTLENECK TIME AND BOTTLENECK SHIPMENT IN TRANSPORTATION PROBLEMS (1976) (53)
- An exact algorithm for the general quadratic assignment problem (1986) (52)
- Computational Performance of Three Subtour Elimination Algorithms for Solving Asymmetric Traveling Salesman Problems. (1977) (52)
- A Lifo Implicit Enumeration Search Algorithm for the Symmetric Traveling Salesman Problem Using Held and Karp's 1-Tree Relaxation (1977) (51)
- Strong planning and forecast horizons for a model with simultaneous price and production decisions (1984) (49)
- Discrete Optimal Control of Production Plans (1975) (45)
- A Computational Study of Satisfiability Algorithms for Propositional Logic (1994) (44)
- Constrained Generalized Medians and Hypermedians as Deterministic Equivalents for Two-Stage Linear Programs under Uncertainty (1965) (44)
- Mathematical theory of expanding and contracting economies (1976) (43)
- Applications of Mathematical Control Theory to Finance: Modeling Simple Dynamic Cash Balance Problems (1970) (42)
- Decision horizons for the capacitated lot size model with inventory bounds and stockouts (1993) (39)
- The column subtraction algorithm: An exact method for solving weighted set covering, packing and partitioning problems (1994) (38)
- A heuristic method for the multi-story layout problem (1988) (38)
- A mixed-initiative scheduling workbench integrating AI, OR and HCI (1993) (38)
- Competitive and Allelopathic Suppression of Understory by Oklahoma Oak Forests (1972) (36)
- Auctions and market games (1980) (36)
- A hybrid heuristic for the facilities layout problem (1991) (35)
- Overhead Allocation via Mathematical Programming Models (1970) (35)
- Cost operator algorithms for the transportation problem (1977) (31)
- Computing the Core of a Market Game (1980) (31)
- An Integral Simplex Algorithm for Solving Combinatorial Optimization Problems (2002) (30)
- Determining Cost vs. Time Pareto-Optimal Frontiers in Multi-Modal Transportation Problems (1977) (30)
- Optimal strategies for general price-advertising models (1984) (30)
- Multiship, multishop, workload‐smoothing progfum (1962) (30)
- Necessary and sufficient conditions for optimal control of quasilinear partial differential systems (1984) (29)
- A Bilinear-Quadratic Differential Game in Advertising. (1978) (28)
- An operator theory of parametric programming for the generalized transportation problem: I. Basic theory (1975) (26)
- Simple Models in Stochastic Production Planning. (1978) (26)
- A Distributed Parameter Cohort Personnel Planning Model That Uses Cross-Sectional Data (1984) (25)
- The pivot and probe algorithm for solving a linear program (1984) (25)
- A Forward Simplex Method for Staircase Linear Programs (1985) (23)
- Solution of large dense transportation problems using a parallel primal algorithm (1990) (23)
- An open expanding economy model (1969) (23)
- A forward algorithm and planning horizon procedure for the production smoothing problem without inventory (1984) (23)
- PRIVATE AND PUBLIC CONSUMPTION AND SAVINGS IN THE VON NEUMANN MODEL OF AN EXPANDING ECONOMY (1967) (22)
- Distributed Parameter Systems Approach to the Optimal Cattle Ranching Problem (1980) (21)
- Some Properties of Redundant Constraints and Extraneous Variables in Direct and Dual Linear Programming Problems (1962) (20)
- An operator theory of parametric programming for the generalized transportation problem: II Rim, cost and bound operators† (1975) (18)
- COMPUTATION OF EXPANSION RATES FOR THE GENERALIZED VON NEUMANN MODEL OF AN EXPANDING ECONOMY (1966) (17)
- A Recursive Method for Solving Assignment Problems (1981) (17)
- THE ROOTS OF MATRIX PENCILS (Ay = Lambda By): EXISTENCE, CALCULATIONS, AND RELATIONS TO GAME THEORY. (1972) (17)
- 14. Signaling Strategies in n-Person Games (1953) (17)
- Reducing the rank of ( (1970) (15)
- A survey on forward methods in mathematical programming (1984) (15)
- Optimal preventive and repair maintenance of a machine subject to failure (1984) (14)
- An operator theory of parametric programming for the generalized transportation problem—IV—global operators (1975) (14)
- A single source transportation algorithm (1980) (14)
- A Simplex-Like Algorithm for the Continuous Modular Design Problem (1977) (14)
- Hamiltonian Tours and Paths in Rectangular Lattice Graphs (1977) (13)
- Multilist Scheduling. A New Parallel Programming Model. (1993) (13)
- APPLICATIONS OF MATHEMATICAL CONTROL THEORY TO ACCOUNTING AND BUDGETING: II. THE CONTINUOUS JOINT TRADING MADEL. (1969) (13)
- Determining optimal growth paths in logistics operations (1972) (12)
- Lectures on game theory, Markov chains, and related topics (1958) (12)
- A successful algorithm for the undirected Hamiltonian path problem (1985) (11)
- A Network Transshipment Model for Manpower Planning and Design. (1979) (11)
- Solution of constrained generalized transportation problems using the pivot and probe algorithm (1986) (10)
- Strong Decision and Forecast Horizons in a Convex Production Planning Problem (1984) (10)
- A Tutorial on Optimal Control Theory (1981) (10)
- The solution of multiperiod personnel planning problems by the forward simplex method (1985) (9)
- A real-time solution for preventive and repair maintenance (1989) (9)
- A cost operator approach to multistage location-allocation (1981) (9)
- Managerial Tests of Conversational Manpower Planning Models. (1975) (9)
- A problem expanding parametric programming method for solving the job shop scheduling problem (1985) (9)
- The continuous multiple‐modular design problem (1983) (8)
- Christmas Toy Manufacturer's Problem: An Application of the Stochastic Maximum Principle (1977) (8)
- Reducing the Rank of (A - λB) (1970) (8)
- Recent developments in the job‐shop scheduling problem (1960) (7)
- THE COLUMN SUBSTRACTION ALGORITHM: AN EXACT METHOD FOR SOLVING THE WEIGHTED SET COVERING PROBLEM (1989) (7)
- Alternate Formulations for Static Multi-Attribute Assignment Models (1973) (7)
- Planning and Forecast Horizons in a Simple Wheat Trading Model (1982) (6)
- MATHEMATICAL BASIS OF THE CRITICAL PATH METHOD (1962) (6)
- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES (1958) (6)
- The Non Candidate Constraint Method for Reducing the Size of a Linear Program. (1980) (6)
- Economic disequilibrium by mathematical programming (1991) (5)
- Von Neumann Model Solutions Are Generalized Eigensystems (1971) (5)
- SOLVING SCHEDULING PROBLEMS BY APPLYING COST OPERATORS TO ASSIGNMENT MODELS (1973) (5)
- Further Relations between Game Theory and Eigensystems (1969) (5)
- Finding Postal Carrier Walk Paths in Mixed Graphs (1998) (5)
- An Experiment on Executive Decision Making. (1977) (5)
- On the Parts Requirements Problem (1965) (4)
- Accelerated Algorithms for Labelling and Relabelling of Trees, with Application to Distribution Problems. (1970) (4)
- Algorithm 405: roots of matrix pencils: the generalized eigenvalue problem [F2] (1971) (4)
- 17. On the Solution of a Game-Theoretic Problem (1957) (4)
- A successful algorithm for solving directed Hamiltonian path problems (1984) (4)
- Balanced Growth of Firms in a Competitive Situation with External Economies (1960) (4)
- Lower bounds for the symmetric travelling salesman problem from Lagrangean relaxations (1990) (4)
- A Heuristic Algorithm for the Facilities Layout Problem (1988) (3)
- Rainfall interception by mesquite on the rolling plains of Texas (1986) (3)
- Operations Research in Research and Development (1965) (3)
- Profit maximization models for exponential decay processes (1985) (3)
- A network approach to cohort personnel planning using cross-sectional data (1987) (3)
- Chapter 8. Some Approaches to the Solution of Large-Scale Combinatorial Problems (1967) (3)
- Exchanging heterogeneous goods via sealed bid auctions and transportation systems (1996) (3)
- CPM and DCPM under risk (1968) (3)
- APPLICATIONS OF MATHEMATICAL CONTROL THEORY TO ACCOUNTING AND BUDGET ING ! . THE CONTINUOUS WHEAT TRADING MODEL (2)
- An Exact Two-Matching Based Branch and Bound Algorithm for the Symmetric Traveling Salesman Problem (1991) (2)
- A note on An open expanding economy model (1972) (2)
- Simplification of games in extensive form (1971) (2)
- Pareto Optimal Deterministic Models for Bid and Offer Auctions. (1978) (2)
- Note-Comment on A Perturbation Scheme to Improve Hillier's Solution to the Facilities Layout Problem (1986) (2)
- Optimal Pricing and Advertising Policies for New Product Oligopoly Models. Revision. (1981) (2)
- THE DISCRETE MAXIMUM PRINCIPLE WITH APPLICATIONS TO MANAGEMENT SCIENCE. (1968) (2)
- A study of the bottleneck single source transportation problem (1980) (2)
- Introduction to Finite Mathematics.@@@Mathematics: With Applications in the Management, Natural, and Social Sciences.@@@Graphs, Models, and Finite Mathematics. (1975) (2)
- ECONOMIC PROGRAMMING AND THE VON NEUMANN MODEL: SOME PLANNING TECHNIQUES. (1966) (1)
- A Simplex-Like Approach for Nonlinear Programs with Nonlinear Constraints. (1972) (1)
- Bargaining Assignment and Officer Rotation Models in the US Navy (1978) (1)
- Solving Linear Programs Using Distributed Parallel Computing. (1994) (1)
- Size , persistence and interrelation of nominal and real shocks : Some evidence from four countries (2015) (1)
- Introduction to Finite Mathematics Edisi 3 (2012) (1)
- Sealed Bid Auctions and Economic Market Games (1994) (1)
- CRITICAL PATH METHOD - A NEW TOOL FOR MANAGEMENT (1962) (1)
- Hydrology of melt-water channels in southwestern Minnesota (1965) (1)
- Using branch-and-bound methods to optimize generation planning (1980) (1)
- A probabilistic polynomial algorithm for solving a directed Hamiltonian Path problem (1983) (1)
- Mathematical control theory solution of an interactive accounting flows model (1972) (1)
- An Integral Three Ways: 11000 (2004) (1)
- Recent research in network problems with applications (1980) (1)
- Decision Trees, Truth Tables@@@Finite Mathematics with Business Applications (1963) (1)
- A METHOD FOR SCHEDULING STUDENTS TO CLASSES (1965) (1)
- AN ALGORITHM FOR CLASSIFYING ERGODIC MATRICES (1966) (1)
- A method for maximizing the reliability coefficient of a communications network (1985) (1)
- A Comparison of Two Different Lagrangean Relaxations of the Traveling Salesman Problem. (1975) (1)
- A Parallel Implementation of the Column Subtraction Algorithm (1995) (1)
- EXTENSIONS OF A THEOREM BY CLARK (1961) (1)
- AN Exact Algorithm for Finding Undirected Hamiltonian Cycles Based on a Two-Matching Problem Relaxation (1991) (1)
- Further Consideration of “An Open Expanding Economy Model” (1971) (1)
- The Noncandidate Constraint Method (1983) (1)
- Continuous Expanding and Contracting Economies (1982) (1)
- Decision making and new mathematics (1956) (1)
- Calculus of Functions of one Argument. (1961) (1)
- Operational guidelines for assistance centers of the National Water Data Exchange (1980) (0)
- A Note on 'Computational Simplifications in Solving Generalized Transportation Problems,' by Glover and Kingman (1974) (0)
- Research Showcase @ CMU Tepper School of Business 1980 A forward simplex method (2015) (0)
- Solutions for Chapter 1 (1981) (0)
- Solutions for Chapter 7 (1981) (0)
- hydrology of lelt-Water Channels in outhwestern Minnesota (1965) (0)
- A Maximum Principle for Stochastic Networks. (1973) (0)
- A method for maximizing communications network reliability (1984) (0)
- THE WEIGHTED UNI-DIMENTIONAL SIMILARITIES PROBLEM WITH LEAST ABSOLUTE VALUE METRIC IS NP-HARD (1990) (0)
- Solutions for Chapter 2 (1981) (0)
- Long Term Planning with Models of Static and Dynamic Open Expanding Economies, and Strategic Allocation and Integral Games, (1972) (0)
- Solutions for Chapter 11 (1981) (0)
- Computational Efficiency in the AMIS Naval Officer Rotation Model. (1979) (0)
- A NEW ALGORITHM FOR TRANSPORTATION AND ASSIGNMENT PROBLEMS (2015) (0)
- A SPARSE MATRIX TECHNIQUE FOR PARALLEL SOLUTION OF FULLY DENSE TRANSPORTATION PROBLEMS (1988) (0)
- A study of total cost and bottleneck single source transportation and location problems with applications (1980) (0)
- REDUCING THE RANK OF (A - LAMBDA B) USING THE ROOTS OF A GENERALIZED CHARACTERISTIC POLYNOMIAL. (1970) (0)
- Needs, opportunities, and options for large scale systems research (1984) (0)
- SEVEN REASONS FOR CHANGING THE NATIONAL AIRSPACE SYSTEM (2004) (0)
- SALESMAN PROBLEMS*tJ (2016) (0)
- Preface (1996) (0)
- Solutions for Chapter 6 (1981) (0)
- Solutions for Chapter 8 (1981) (0)
- a mailing to each member of the host Section and contiguous Sections). If appropriate, plans should be made for the publication of notes from the seminar. Of course many other details may (2016) (0)
- Ratio Goal Programming for Personnel Assignments. (1979) (0)
- The Solution of Manpower Planning Problems by the Forward Simplex Method. (1980) (0)
- Solutions for Chapter 5 (1981) (0)
- A Large Bipartite Subgraph: 10580 (1999) (0)
- An Exact Column Subtraction Algorithm For Set Partioning And Set Packing Problems (1989) (0)
- Solutions for Chapter 4 (1981) (0)
- A COST OPERATOR APPROACH TO MULTISTAGE LOCATICW-ALLOCATION by (2015) (0)
- A forward simplex method (1980) (0)
- A note on the MT-consumption model (1975) (0)
- Computing the natural factors of a closed expanding economy model (1974) (0)
- An improved column subtraction method (2006) (0)
- An Introduction To Infor Special Issue On Applied Optimal Control Theory (1981) (0)
- Base-flow study: Blanco River, Texas, February-March 1963 (1963) (0)
- Management Science Applications Of Optimal Control Theory (1998) (0)
- Duality in the Transportation Model: III. (1970) (0)
- THE PIVOT A N D PROBE ALGORITHM FOR SOLVING (2007) (0)
- Solutions for Chapter 12 (1981) (0)
- Expanding and Contracting Economies (1982) (0)
- Solutions for Chapter 9 (1981) (0)
- REDUCING THE RANK OF (A-\B)1 (2010) (0)
- An Integral Simplex Method for Solving Combinatorial Optimization Problems (1996) (0)
- Solutions Manual for Optimal Control Theory (1981) (0)
- Solutions for Chapter 10 (1981) (0)
- Toward the Twenty-First Century - Modernization of the National Airspace System (1982) (0)
- Calculus of Functions of One Argument: With Analytic Geometry and Differential Equations (2013) (0)
- Advertising and Sealed Bid Auctions in a Transshipment Game (1996) (0)
- The Semi-Linear Programming Algorithm: A Solution Technique for Production Smoothing Problems (1992) (0)
- SADDLE POINT THEOREMS AND THE DISCRETE MAXIMUM PRINCIPLE. (1968) (0)
- 15. Bridge and Signaling (1953) (0)
- REDUCING THE RANK OF (A-XB)1 (2016) (0)
- A Subtour Elimination Algorithm for the Bottleneck Traveling Salesman Problem. (1975) (0)
- Solutions for Chapter 3 (1981) (0)
- An improved column subtraction method : reviewed article (2006) (0)
- Tepper School of Business 6-1974 Credit Availability and Economic Decisions : Some Evidence from the Mortgage and Housing Markets (2015) (0)

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