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

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  • Robert Kalaba

    (The Rand Corporation, Santa Monica, California)

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.).

Suggested Citation

  • Robert Kalaba, 1958. "Letter to the Editor---Optimum Preventative Sampling Via Dynamic Programming," Operations Research, INFORMS, vol. 6(3), pages 439-440, June.
  • Handle: RePEc:inm:oropre:v:6:y:1958:i:3:p:439-440
    DOI: 10.1287/opre.6.3.439
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