Math 381 - Discrete Mathematical Modeling

References

On reserve in the Engineering Library:

• F. S. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N.J., 1984.
• F. S. Roberts, Discrete mathematical models, with applications to social, biological, and environmental problems, Prentice-Hall, Englewood Cliffs, N.J., 1976.
• D. P. Gaver and G. L. Thompson, Programming and probability models in operations research, Brooks/Cole Pub. Co., 1973.
• F. S. Hillier and G. J. Lieberman, Introduction to operations research, McGraw-Hill, New York, 1995.
• D. E. Knuth, The Stanford GraphBase: A Platform for Combinatorial Computing, Addison-Wesley, New York, 1993
• M. M. Meerschaert, Mathematical Modeling, Academic Press, San Diego, 1993.
• S. M. Ross, A Course in Simulation, Macmillan Publishing Company, New York, 1990.
• W. L. Winston, Operations Research; Applications and Algorithms, Brooks/Cole, 2004.

Some journals with good articles:

• UMAP Journal (the Journal of Undergraduate Mathematics and Its Applications), in Odegaard Library. In particular one issue each year is devoted to Outstanding Entries in the annual Mathematical Contest in Modeling for undergraduates. These are modeling problems solved and written up by teams of undergraduates, similar to the course project.
• SIAM News (Math Library) has articles with overviews of interesting mathemtical problems, written for a fairly general audience.
• SIAM Review (Math Library) See the sections called "Case Studies" and "Classroom Notes" in particular. Other SIAM Journals may also be useful, e.g. the SIAM Journal on Discrete Mathematics, though most of these journals contain more detailed research papers.
• Interfaces (available online using a UW computer or at the Business School Library) Contains many articles about operations research applied to various businesses, mostly at the level of describing the modeling without too many mathematical details. (Note, I had to turn off my google popup blocker to view these articles. -SB)