Dynamic programming is a mathematical theory devoted to the study of multistage decision processes and, by the usual mathematical extension, to those problems which can be interpreted to arise from multistage decision processes. The author has already explored some of the conceptual, analytic, and computational aspects of this new theory, and presented a variety of applications in engineering, economics, operations research, mathematical physics, and in mathematics itself. In this Memorandum, he indicates some of the problems that arise in the use of a certain characteristic functional equation as an effective algorithm for the numerical solution of questions in the areas named above. There appears to be unlimited opportunity for research in these new fields. 21 pp. Bibliog
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