Applied Math Modeling - A Multidisciplinary Apprch by D Shier, K Wallenius

By D Shier, K Wallenius

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In 1952, over 55,000 cases were reported. Mortality rates in America, due to good care, had by that time dropped to well under 10%. Nonetheless, the spectacle of children confined to wheelchairs or iron lungs was a disturbing one. This was in the years before the emigration of the middle classes to suburbia and most schools tended to have representation from a wide range of socioeconomic groups. Incidence rates were the highest in the summers, when the schools were closed. But, at the intuitive level, it was clear that polio was a disease predominantly of school age children, and that there was a fair amount of clustering of cases.

It is a challenge to mathematical scientists to play their role effectively and this role can be expected to increase as mathematical model building becomes more complex and comprehensive. 7 References [1] A. Charnes, W. W. Cooper, and E. Rhodes, “Measuring the efficiency of decision making units,” European Journal of Operational Research 2, 429–444 (1978). [2] A. Charnes, W. W. Cooper, and E. Rhodes, “Short communication: measuring the efficiency of decision making units,” European Journal of Operational Research 3, 339 (1979).

GonzalezLima, and R. M. Thrall, “DEA multiplier analytic sensitivity with an illustrative application to independent oil companies,” Annals of Operations Research 66, 163–177 (1996). [11] R. M. Thrall, “Principles of model development with applications to slacks in DEA,” in Operations Research: Methods, Models, and Applications, J. E. Aronson and S. ), Quorum Books, Westport, CN, 1998, 49–56. [12] R. M. Thrall, “Duality, classification and slacks in DEA,” Annals of Operations Research 66, 109–138 (1996).

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