Math 381 - Discrete Mathematical Modeling

References

Reserve Books:

• F. S. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N.J., 1984. (Math Library QA164.R6.1884)
• L. Lovász, J. Pelikán, and K. Vesztergombi, Discrete Mathematics: elementary and beyond Springer Verlag, New York, 2003. (Engineering Library QA39.3.L68 2003)
• Sheldon M Ross, A First Course in Probability Upper Saddle River, N.J. : Prentice Hall, c2002. (Math Library QA273.R83 2002)
• S. M. Ross, A Course in Simulation, Macmillan Publishing Company, New York, 1990. (Engineering Library QA273.R82 1990)
• D. P. Gaver and G. L. Thompson, Programming and probability models in operations research, Brooks/Cole Pub. Co., 1973. (Engineering Library T57.6.G38)
• F. S. Hillier and G. J. Lieberman, Introduction to operations research, McGraw-Hill, New York, 1995. (Engineering Library T57.6.H53 1995)
• W. L. Winston, Operations Research; Applications and Algorithms, Brooks/Cole, 2004. (Engineering Library T57.6.W645 1994)

Interesting web pages:

• Traveling salesman problem
• Mathematical Contest in Modeling website
• Solutions by UW students to problems in the Mathematical Contest in Modeling

Papers:

Computer languages and software for modeling and simulation:

• MATLAB The optimization and financial math toolboxes are particularly useful for modeling. Simulink can be used for Monte Carlo simulations. ( Student Edition and Student Version)
• LINDO Language for optimization Download a demo version
• The Stony Brook Algorithm Repository (large collection of combinatorial algorithms and implementations in various languages)
• NETLIB Collection of numerical software
• GAMS Guide to Available Mathematical Software

References elsewhere:

• Math 407: Model LP problems. Archive of linear programming problems maitained by Professor Jim Burke.