Abstract
This module illustrates the process of mathematical modeling using pulse processes as a tool. We assume that students have received some instruction in the cyclical nature of math modeling such as the discussion given in Roberts [1, ch. 1]. Other prerequisites include a knowledge of matrix algebra (simple multiplication and addition of matrices) and, in the last section only, the ability to compute the eigenvalues of an n × n matrix. Students without a background in eigenvalues may simply omit this section. Any interested reader that does not have this background should first consult any standard text in linear algebra or Roberts [1].
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References
F. S. Roberts, Discrete Mathematical Models. Englewood Cliffs, NJ: Prentice- Hall. 1976.
—Weighted Digraph Models for Energy Use and Air Pollution in TransportationSystems. The Rand Corporation # R-1578-NSF. Santa Monica, CA, Dec. 1974. (Abridged version appeared in Environment and Planning, vol. 7, pp. 703–724, 1975.)
—“Structures and stability in weighted digraph models,” Annals New York Academy Science, vol. 32, pp. 64-77,1979
F. S. Roberts and T. A. Brown, “Signed digraphs and the energy crisis,” American Math. Monthly, vol. 82, pp. 577–594, 1975.
Dean, Young,“A weighted digraph model for private collegiate athletic finances,” unpublished paper, Baylor University, Waco, TX, 1975.
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© 1983 Springer Science+Business Media New York
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Perry, E.L. (1983). A Pulse Process Model of Athletic Financing. In: Lucas, W.F., Roberts, F.S., Thrall, R.M. (eds) Discrete and System Models. Modules in Applied Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5443-0_8
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DOI: https://doi.org/10.1007/978-1-4612-5443-0_8
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