Accession Number : AD0664525

Title :   APPLICATION OF DYNAMIC PROGRAMMING TO THE BRACHISTOCHRONE PROBLEM,

Corporate Author : ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)

Personal Author(s) : Pullen,Dorothy M.

Report Date : AUG 1967

Pagination or Media Count : 20

Abstract : The classical brachistochrone problem is formulated in dynamic programming terms and the resulting functional equation solved. The equation is first solved over a rectangular mesh and various methods of increasing the accuracy of the result and reducing the computer storage space required are considered. A good approximation to the true solution is obtained even though the numerical values chosen involve a singularity. (Author)

Descriptors :   (*DYNAMIC PROGRAMMING, TRAJECTORIES), (*TRAJECTORIES, OPTIMIZATION), DECISION THEORY, CALCULUS OF VARIATIONS, NUMERICAL ANALYSIS, POLYNOMIALS, APPROXIMATION(MATHEMATICS)

Subject Categories : Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE