Letter to the Editor---Optimum Preventative Sampling Via Dynamic Programming

Robert Kalaba
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Robert Kalaba: The Rand Corporation, Santa Monica, California

Operations Research, 1958, vol. 6, issue 3, 439-440

Abstract: In an interesting paper entitled “Optimum Preventative Sampling,” Whittle (Whittle, P. 1954. Optimum preventative sampling. J. Opns Res. Soc. Am. 2 197--203.) has discussed the general problem of carrying out a sampling operation---not for the customary purpose of estimating a characteristic of a population but for the purpose of discouraging the arising of defectives. In general the more intense the sampling is, the greater is the deterrent effect on a potential transgressor. We wish to show how the optimization problem to which Whittle's model leads, and which is typical of a large class of related problems, may be treated advantageously by the functional equation technique of dynamic programming (Bellman, R. 1957. Dynamic Programming . Princeton University Press, Princeton, New Jersey.).

Date: 1958
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