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A Problem in Optimum Allocation

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  • K. S. Srikantan

    (United Nations Technical Assistance Board, Dar-es-Salaam, Tanganyika)

Abstract

In this paper we have developed an iterative process for obtaining, in a stratified sampling design, optimum allocation of the total sample to the various strata in order to secure minimum variance at a given cost and, at the same time, provide strata estimates with variabilities not exceeding specified levels. The process has been illustrated and generalized. The application of the extended procedure has been discussed.

Suggested Citation

  • K. S. Srikantan, 1963. "A Problem in Optimum Allocation," Operations Research, INFORMS, vol. 11(2), pages 265-273, April.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:2:p:265-273
    DOI: 10.1287/opre.11.2.265
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    Cited by:

    1. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    2. Friedrich, Ulf & Münnich, Ralf & de Vries, Sven & Wagner, Matthias, 2015. "Fast integer-valued algorithms for optimal allocations under constraints in stratified sampling," Computational Statistics & Data Analysis, Elsevier, vol. 92(C), pages 1-12.
    3. Bretthauer, Kurt M. & Ross, Anthony & Shetty, Bala, 1999. "Nonlinear integer programming for optimal allocation in stratified sampling," European Journal of Operational Research, Elsevier, vol. 116(3), pages 667-680, August.

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