Accession Number : AD0608366

Title :   SOME ASPECTS OF THE RELATIONSHIP OF DYNAMIC PROGRAMMING TO THE CALCULUS OF VARIATIONS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Dreyfus,Stuart E.

Report Date : NOV 1964

Pagination or Media Count : 16

Abstract : This short paper surveys three aspects of dynamic programming. The first part concerns the salient features of the dynamic programming approach to a problem and relates the formalism to more classical techniques. The second section discusses one area of current dynamic programming research, the mathematical rigorization of the results, and the extension of its domain of proven applicability. The third part illustrates the geometric and intuitive attributes of the dynamic programming formalism by treating, in what is hopefully a straightforward manner, a situation that appears classically to be quite complex. This brief survey does not emphasize what may well be the most important merit of dynamic programming--its easy generalizations to allow the inclusion of the stochastic and adaptive considerations that characterize almost all realistic control problems. (Author)

Descriptors :   (*DYNAMIC PROGRAMMING, CALCULUS OF VARIATIONS), (*CALCULUS OF VARIATIONS, DYNAMIC PROGRAMMING), CONTROL, THEORY, OPTIMIZATION, EQUATIONS, DECISION THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE