Abstract
In this paper, a racehorse problem and related problems are solved using dynamic programming. A special curve-fitting problem is discussed, and a method for solution is given. The treatment throughout is elementary and gives a fundamental discussion of dynamic programming with respect to a certain class of functional equations.
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References
Bellman, R. E.,Dynamic Programming, Princeton University Press, Princeton, New Jersey, 1957.
Vajda, S.,Mathematical Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, 1961.
Kaufmann, A.,Graphs, Dynamic Programming, and Finite Games, Academic Press, New York, 1967.
Davis, P. J.,Interpolation and Approximation, Blaisdell Publishing Company, Waltham, Massachusetts, 1963.
Bellman, R. E., andDreyfus, S.,Applied Dynamic Programming, Princeton University Press, Princeton, New Jersey, 1961.
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Communicated by S. E. Dreyfus
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Baldwin, J.F. Gambling and curve-fitting problems using dynamic programming. J Optim Theory Appl 9, 367–378 (1972). https://doi.org/10.1007/BF00934737
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DOI: https://doi.org/10.1007/BF00934737