The purpose of this paper is to compare the asymptotic expected sample sizes of two sequential procedures for ranking k normal populations with known variance and unknown means for the cases (i) μ₁ μ₂ ⋯ μₖ₋₁ < μₖ and (ii) μₖ - μₖ₋₁ = δ^ > 0. The procedures are: (1) the Bechhofer-Kiefer-Sobel (BKS) sequential procedure [1], and (2) Paulson's (P) sequential procedure [2].
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S. K. Perng (1969) studied this question.
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