Dissertation Information for Andrew TorokNAME:
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SCHOOL: ADVISORS: COMMITTEE MEMBERS: MPACT Status: Fully Complete Title: Epidemic theory applied to a specific decision problem Abstract: A method is postulated for differentiating between two conflicting theories, namely Bellman's "Dynamic Programming" and Pontryagin's "Maximum Principle:. Citation literature pertaining to the two theories is analyzed in terms of the mathematical theory of epidemics in order to determine the relevancy of the two theories to a specified user group. epidemic Theory provides a model that describes the intellectual activity within a discipline in terms of a biological process: which can identify variables that determine significant differences between the above theories. A deterministic solution of the Model indicated the following rates of infection for authors citing Bellman and Pontryagin, respectively: 0.031, and 0.012. The raw data was obtained from Science Citation Index. |
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