MAA Reviews

Modeling and OR: General

* Daellenbach, Hans G. and George, John A. Introduction to Operations Research Techniques Boston, MA: Allyn and Bacon, 1978.

* Dantzig, George B. and Eaves, B.C., eds. Studies in Optimization Washington, DC: Mathematical Association of America, 1974.

Foulds, L.R. Combinatorial Optimization for Undergraduates New York, NY: Springer-Verlag, 1984.

French, Simon. Readings in Decision Analysis New York, NY: Chapman and Hall, 1989.

* Gass, Saul I. Decision Making, Models, and Algorithms: A First Course New York, NY: John Wiley, 1985.

Gribik, Paul R. and Kortanek, Kenneth O. Extremal Methods of Operations Research New York, NY: Marcel Dekker, 1985.

*** Hillier, Frederick S. and Lieberman, Gerald J. Introduction to Operations Research, New York, NY: McGraw-Hill, 1990. Fifth Edition.

Marlow, W.H. Mathematics for Operations Research New York, NY: John Wiley, 1978.

Schmidt, J. William and Davis, Robert P. Foundations of Analysis in Operations Research New York, NY: Academic Press, 1981.

* Schmidt, J. William. Mathematical Foundations for Management Science and Systems Analysis New York, NY: Academic Press, 1974.

Trueman, Richard E. An Introduction to Quantitative Methods for Decision Making, New York, NY: Holt, Rinehart and Winston, 1977. Second Edition.

*** Wagner, Harvey M. Principles of Operations Research with Applications to Managerial Decisions, Englewood Cliffs, NJ: Prentice Hall, 1969, 1975. Second Edition.

** Winston, Wayne L. Operations Research: Applications and Algorithms, Boston, MA: PWS-Kent, 1991. Second Edition.

Modeling and OR: Mathematical Modeling

* Andrews, J.G. and McLone, R.R., eds. Mathematical Modelling Woburn, MA: Butterworth, 1976.

* Beltrami, Edward J. Mathematics for Dynamic Modeling New York, NY: Academic Press, 1987.

* Boyce, William E., ed. Case Studies in Mathematical Modeling Brooklyn, NY: Pitman, 1981.

** Braun, Martin; Coleman, Courtney S.; and Drew, Donald A., eds. Differential Equation Models New York, NY: Springer-Verlag, 1983. Modules in Applied Mathematics, Vol. 1.

Burghes, David N.; Huntley, Ian; and McDonald, John. Applying Mathematics: A Course in Mathematical Modelling New York, NY: Ellis Horwood, 1982.

Cross, Mark and Moscardini, A.O. Learning the Art of Mathematical Modelling New York, NY: Halsted Press, 1985.

Gass, Saul I., ed. Operations Research: Mathematics and Models Providence, RI: American Mathematical Society, 1981.

* Giordano, Frank R. and Weir, Maurice D. A First Course in Mathematical Modeling Pacific Grove, CA: Brooks/Cole, 1985.

** Haberman, Richard. Mathematical Models, Mechanical Vibrations, Population Dynamics, and Traffic Flow: An Introduction to Applied Mathematics Englewood Cliffs, NJ: Prentice Hall, 1977.

* Hua, Loo-Keng and Wang, Yuan. Popularizing Mathematical Methods in the People's Republic of China: Some Personal Experiences New York, NY: Birkhauser, 1989.

James, D.J.G. and McDonald, John, eds. Case Studies in Mathematical Modelling New York, NY: Halsted Press, 1981.

Kapur, J.N. Mathematical Modelling New York, NY: John Wiley, 1988.

** Klamkin, Murray S. Mathematical Modelling: Classroom Notes in Applied Mathematics Philadelphia, PA: Society for Industrial and Applied Mathematics, 1987.

** Lucas, William F.; Roberts, Fred S.; and Thrall, Robert M., eds. Discrete and System Models New York, NY: Springer-Verlag, 1983. Modules in Applied Mathematics, Vol. 3.

Melzak, Z.A. Mathematical Ideas, Modeling, and Applications New York, NY: John Wiley, 1976.

* Melzak, Z.A. Bypasses: A Simple Approach to Complexity New York, NY: John Wiley, 1983.

Mesterton-Gibbons, Michael. A Concrete Approach to Mathematical Modelling Reading, MA: Addison-Wesley, 1989.

* Meyer, Walter J. Concepts of Mathematical Modeling New York, NY: McGraw-Hill, 1984.

Molloy, Michael K. Fundamentals of Performance Modeling New York, NY: Macmillan, 1989.

Nicolas, Gregoier and Prigogine, Ilya. Exploring Complexity: An Introduction New York, NY: W.H. Freeman, 1989.

** Poston, Tim and Stewart, Ian. Catastrophe Theory and its Applications Brooklyn, NY: Pitman, 1978.

Richardson, Jacques, ed. Models of Reality: Shaping Thought and Action Mt. Airy, MD: Lomond, 1984.

* Roberts, Fred S. Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems Englewood Cliffs, NJ: Prentice Hall, 1976.

Saaty, Thomas L. and Alexander, Joyce M. Thinking With Models: Mathematical Models in the Physical, Biological, and Social Sciences Elmsford, NY: Pergamon Press, 1981.

Starfield, Anthony M.; Smith, Karl A.; and Bleloch, Andrew L. How to Model It: Problem Solving for the Computer Age New York, NY: McGraw-Hill, 1990.

* Thompson, James R. Empirical Model Building New York, NY: John Wiley, 1989.

* Wan, Frederic Y.M. Mathematical Models and Their Analysis New York, NY: Harper and Row, 1989.

Williams, H.P. Model Building in Mathematical Programming, New York, NY: John Wiley, 1978, 1985. Second Edition.

** Woodcock, Alexander and Davis, Monte. Catastrophe Theory New York, NY: E.P. Dutton, 1978.

Zeeman, E.C. Catastrophe Theory: Selected Papers, 1972--1977 Reading, MA: Addison-Wesley, 1977.

Modeling and OR: Stochastic Modeling and Dynamic Programming

Athreya, A.K.B. and Ney, P.E. Branching Processes New York, NY: Springer-Verlag, 1972.

Bailey, Norman T.J. Mathematical Theory of Epidemics London: Charles Griffin, 1957.

* Barlow, Richard and Proschan, Frank. Statistical Theory of Reliability and Life Testing New York, NY: Holt, Rinehart and Winston, 1975.

Denardo, Eric V. Dynamic Programming: Models and Applications Englewood Cliffs, NJ: Prentice Hall, 1982.

Dreyfus, Stuart E. and Law, Averill M. The Art and Theory of Dynamic Programming New York, NY: Academic Press, 1977.

French, Simon. Sequencing and Scheduling: An Introduction to the Methodologies of the Job-Shop New York, NY: Ellis Horwood, 1982.

** Gazis, Denos C., ed. Traffic Science New York, NY: John Wiley, 1974.

Getis, Arthur and Boots, Barry. Models of Spatial Processes: An Approach to the Study of Point, Line, and Area Patterns New York, NY: Cambridge University Press, 1978.

Gittins, J.C. Multi-Armed Bandit Allocation Indices New York, NY: John Wiley, 1989.

Haight, F.A. Mathematical Theories of Traffic Flow New York, NY: Academic Press, 1963.

* Heyman, D.P. and Sobel, M.J. Handbook in Operations Research and Management Science Amsterdam: North-Holland, 1989.

*** Heyman, D.P. and Sobel, M.J. Stochastic Models in Operations Research, New York, NY: McGraw-Hill, 1982, 1984. 2 Vols.

Prabhu, N.U. Stochastic Storage Processes: Queues, Insurance Risk, and Dams New York, NY: Springer-Verlag, 1980.

** Ross, Sheldon M. Introduction to Stochastic Dynamic Programming New York, NY: Academic Press, 1983.

Sauer, C.H. and Chandy, K. Computer Systems Performance Modeling Englewood Cliffs, NJ: Prentice Hall, 1981.

Seal, H.L. Survival Probabilities: The Goal of Risk Theory New York, NY: John Wiley, 1978.

Syski, R. Introduction to Congestion Theory in Telephone Systems Amsterdam: North-Holland, 1986.

Whittle, Peter. Optimization Over Time: Programming and Stochastic Control, New York, NY: John Wiley, 1983. 2 Vols.

Modeling and OR: Game Theory

** Aumann, Robert J. and Hart, Sergiu. Handbook of Game Theory with Applications to Economics, Amsterdam: North-Holland, 1991.

Blackwell, David and Girshick, M.A. Theory of Games and Statistical Decisions Mineola, NY: Dover, 1979.

Brams, Steven J. and Kilgour, D. Marc. Game Theory and National Security Cambridge, MA: Basil Blackwell, 1988.

* Davis, Morton D. Game Theory: A Nontechnical Introduction New York, NY: Basic Books, 1970.

Dresher, Melvin. The Mathematics of Games of Strategy: Theory and Applications Mineola, NY: Dover, 1981.

Hajek, Otomar. Pursuit Games: An Introduction to the Theory and Applications of Differential Games of Pursuit and Evasion New York, NY: Academic Press, 1975.

Jones, A.J. Game Theory: Mathematical Models of Conflict New York, NY: Halsted Press, 1980.

* Lucas, William F., ed. Game Theory and its Applications Providence, RI: American Mathematical Society, 1981.

*** Luce, Robert Duncan and Raiffa, Howard. Games and Decisions New York, NY: John Wiley, 1957.

* McDonald, John. The Game of Business New York, NY: Doubleday, 1975.

** Myerson, Roger B. Game Theory: Analysis of Conflict Cambridge, MA: Harvard University Press, 1991.

Owen, Guillermo. Game Theory, New York, NY: Academic Press, 1982. Second Edition.

Ruckle, W.H. Geometric Games and Their Applications Brooklyn, NY: Pitman, 1983.

* Shubik, Martin. Game Theory in the Social Sciences, Cambridge, MA: MIT Press, 1982, 1984. 2 Vols.

Stone, Lawrence D. Theory of Optimal Search New York, NY: Academic Press, 1975.

Thomas, L.C. Games: Theory and Applications New York, NY: Halsted Press, 1984.

Wang, Jianhua. The Theory of Games New York, NY: Clarendon Press, 1988.

** Williams, John D. The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy Mineola, NY: Dover, 1986.

*** von Neumann, John and Morgenstern, Oskar. Theory of Games and Economic Behavior Princeton, NJ: Princeton University Press, 1980.

Modeling and OR: Linear Programming

Brickman, Louis. Mathematical Introduction to Linear Programming and Game Theory New York, NY: Springer-Verlag, 1989.

Buchanan, J.T. Discrete and Dynamic Decision Analysis New York, NY: John Wiley, 1982.

*** Chvatal, Vasek. Linear Programming New York, NY: W.H. Freeman, 1983.

Collatz, L. and Wetterling, W. Optimization Problems New York, NY: Springer-Verlag, 1975.

*** Dantzig, George B. Linear Programming and Extensions Princeton, NJ: Princeton University Press, 1963.

** Gass, Saul I. Linear Programming: Methods and Applications, New York, NY: McGraw-Hill, 1969, 1985. Fifth Edition.

Hartley, Roger. Linear and Nonlinear Programming: An Introduction to Linear Methods in Mathematical Programming New York, NY: Halsted Press, 1985.

Kaplan, Edward L. Mathematical Programming and Games New York, NY: John Wiley, 1982.

* Kolman, Bernard and Beck, Robert E. Elementary Linear Programming with Applications, New York, NY: Academic Press, 1980.

Luenberger, D. Linear and Nonlinear Programming, Reading, MA: Addison-Wesley, 1984. Second Edition.

Murty, Katta G. Linear and Combinatorial Programming Melbourne, FL: Robert E. Krieger, 1985.

Nazareth, J.L. Computer Solution of Linear Programs New York, NY: Oxford University Press, 1987.

* Solodovnikov, A.S. Systems of Linear Inequalities Chicago, IL: University of Chicago Press, 1980.

* Solow, Daniel. Linear Programming: An Introduction to Finite Improvement Algorithms New York, NY: Elsevier Science, 1984.

Stancu-Minasian, I.M. Stochastic Programming with Multiple Objective Functions Norwell, MA: D. Reidel, 1984.

Strayer, James K. Linear Programming and Its Applications New York, NY: Springer-Verlag, 1989.

* Thie, Paul R. An Introduction to Linear Programming and Game Theory, New York, NY: John Wiley, 1979, 1988. Second Edition.

Walsh, G.R. An Introduction to Linear Programming, New York, NY: John Wiley, 1985. Second Edition.

Modeling and OR: Nonlinear Programming

* Cohon, Jared L. Multiobjective Programming and Planning New York, NY: Academic Press, 1978.

Gill, Philip E.; Murray, Walter; and Wright, Margaret H. Practical Optimization New York, NY: Academic Press, 1981.

McCormick, Garth P. Nonlinear Programming: Theory, Algorithms, and Applications New York, NY: John Wiley, 1983.

* Peressini, Anthony L.; Sullivan, Francis E.; and Uhl, J.J., Jr. The Mathematics of Nonlinear Programming New York, NY: Springer-Verlag, 1988.

* Saaty, Thomas L. and Bram, Joseph. Nonlinear Mathematics Mineola, NY: Dover, 1981.

Shapiro, Roy D. Optimization Models for Planning and Allocation: Text and Cases in Mathematical Programming New York, NY: John Wiley, 1984.

** Simmons, Donald M. Nonlinear Programming for Operations Research Englewood Cliffs, NJ: Prentice Hall, 1975.

Wismer, David A. and Chattergy, R. Introduction to Nonlinear Optimization: A Problem Solving Approach Amsterdam: North-Holland, 1978.

Modeling and OR: Integer Programming

* Ford, L.R., Jr. and Fulkerson, D.R. Flows in Networks Princeton, NJ: Princeton University Press, 1962.

Garfinkel, Robert S. and Nemhauser, George L. Integer Programming New York, NY: John Wiley, 1972.

Lawler, Eugene L. Combinatorial Optimization: Networks and Matroids New York, NY: Holt, Rinehart and Winston, 1976.

** Lawler, Eugene L., et al., eds. The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization New York, NY: John Wiley, 1985.

*** Nemhauser, George L. and Wolsey, Laurence A. Integer and Combinatorial Optimization New York, NY: John Wiley, 1988.

* Papadimitriou, Christos H. and Steiglitz, Kenneth. Combinatorial Optimization: Algorithms and Complexity Englewood Cliffs, NJ: Prentice Hall, 1982.

Parker, R. Gary and Rardin, Ronald L. Discrete Optimization New York, NY: Academic Press, 1988.

Saaty, Thomas L. Optimization in Integers and Related Extremal Problems New York, NY: McGraw-Hill, 1970.

* Schrijver, Alexander. Theory of Linear and Integer Programming New York, NY: John Wiley, 1986.

Taha, Hamdy A. Integer Programming: Theory, Applications, and Computations New York, NY: Academic Press, 1975.

Modeling and OR: Queueing Theory

Allen, Arnold O. Probability, Statistics, and Queueing Theory with Computer Science Applications, New York, NY: Academic Press, 1977, 1990. Second Edition.

Borovkov, A.A. Asymptotic Methods in Queueing Theory New York, NY: John Wiley, 1984.

Borovkov, A.A. Stochastic Processes in Queueing Theory New York, NY: Springer-Verlag, 1976.

Cohen, J.W. The Single Server Queue, Amsterdam: North-Holland, 1982. Second Edition.

* Cooper, R.B. Introduction to Queueing Theory, Amsterdam: North-Holland, 1981. Second Edition.

Franken, P., et al. Queues and Point Processes New York, NY: John Wiley, 1982.

Gelenbe, E. and Pujolle, G. Introduction to Queueing Networks New York, NY: John Wiley, 1987.

*** Gross, Donald and Harris, Carl M. Fundamentals of Queueing Theory, New York, NY: John Wiley, 1974, 1985. Second Edition.

Kalashnikov, V.V. and Rachev, S.T. Mathematical Models for the Construction of Queueing Models Belmont, CA: Wadsworth, 1990.

** Kleinrock, L. Queueing Systems, New York, NY: John Wiley, 1976. 2 Vols.

Neuts, Marcel. Structured Stochastic Matrices of M/G/1 Type and Their Applications New York, NY: Marcel Dekker, 1989.

Walrand, J. An Introduction to Queueing Networks Englewood Cliffs, NJ: Prentice Hall, 1988.

* Wolff, R.W. Stochastic Modelling and the Theory of Queues Englewood Cliffs, NJ: Prentice Hall, 1989.

Modeling and OR: Simulation

Banks, Jerry. Discrete-Event System Simulation Englewood Cliffs, NJ: Prentice Hall, 1984.

** Bratley, Paul; Fox, Bennett L.; and Schrage, Linus E. A Guide to Simulation New York, NY: Springer-Verlag, 1983.

Devroye, L. Non-Uniform Random Variate Generation New York, NY: Springer-Verlag, 1986.

** Fishman, G.S. Principles of Discrete Event Simulation New York, NY: John Wiley, 1978.

Graybeal, Wayne J. and Pooch, Udo W. Simulation: Principles and Methods Cambridge: Winthrop, 1980.

Law, Averill M. and Kelton, W.D. Simulation Modeling and Analysis New York, NY: McGraw-Hill, 1982.

Morgan, Byron J.T. Elements of Simulation New York, NY: Chapman and Hall, 1984.

Ord-Smith, R.J. and Stephenson, J. Computer Simulation of Continuous Systems New York, NY: Cambridge University Press, 1975.

* Ripley, Brian D. Stochastic Simulation New York, NY: John Wiley, 1987.

Rubinstein, Reuven Y. Simulation and the Monte Carlo Method New York, NY: John Wiley, 1981.

Rubinstein, Reuven Y. Monte Carlo Optimization, Simulation, and Sensitivity of Queueing Networks New York, NY: John Wiley, 1986.

* van Daal, J. and van Doeland, F. On the Height of a Railway Bridge Beaverton, OR: Rotterdam University Press, 1974.

Modeling and OR: Control Theory

** Barnett, Stephen and Cameron, R.G. Introduction to Mathematical Control Theory, New York, NY: Clarendon Press, 1985. Second Edition.

Barnett, Stephen. Polynomials and Linear Control Systems New York, NY: Marcel Dekker, 1983.

Boltyanskii, Vladimir G. Mathematical Methods of Optimal Control New York, NY: Holt, Rinehart and Winston, 1971.

Chui, C.K. and Chen, G. Linear Systems and Optimal Control New York, NY: Springer-Verlag, 1989.

Jacobs, O.L.R. Introduction to Control Theory New York, NY: Oxford University Press, 1974.

* Kamien, Morton I. and Schwartz, Nancy L. Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management New York, NY: Elsevier Science, 1981.

* LaSalle, Joseph P. The Stability and Control of Discrete Processes New York, NY: Springer-Verlag, 1986.

Lagunov, V.N. Introduction to Differential Games and Control Theory Berlin: Heldermann Verlag, 1985.

Leitmann, George. The Calculus of Variations and Optimal Control: An Introduction New York, NY: Plenum Press, 1981.

Pontrjagin, Lev S., et al. The Mathematical Theory of Optimal Processes New York, NY: Interscience, 1962.

Trappl, Robert, ed. Cybernetics: Theory and Applications New York, NY: Hemisphere, 1983.

Tu, Pierre N.V. Introductory Optimization Dynamics: Optimal Control with Economics and Management Science Applications New York, NY: Springer-Verlag, 1984.

** Wonham, W. Murray. Linear Multivariable Control: A Geometric Approach, New York, NY: Springer-Verlag, 1985. Third Edition.

Young, L.C. Lectures on the Calculus of Variations and Optimal Control Theory New York, NY: Chelsea, 1980.