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- W1986368387 abstract "The classical binomial group testing problem studies plans to sort defectives from good items using a minimum number of group tests where a group test is a test applicable to any subset of items with a yes and no answer to the question of whether the subset contains any defectives. In a multinomial group testing problem, each item can be in one of k ordered states and a group test on a subset always reveals the highest state of any item in the subset. Two properties known for binomial group testing are the cutoff point, which characterizes when individual testing is optimal, and the monotonicity, which states that the minimum expected number of tests increases in the probability of an item being defective. This paper studies the multinomial group testing problem and gives a new sufficient condition that guarantees individual testing is optimal. (A sufficient condition in Kumar [SIAM J. Appl. Math., 19 (1970), pp. 340–350] is shown to be incorrect.) It is also shown that the monotonicity does not hold for ..." @default.
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- W1986368387 date "1989-11-01" @default.
- W1986368387 modified "2023-09-25" @default.
- W1986368387 title "Cutoff Point and Monotonicity Properties for Multinomial Group Testing" @default.
- W1986368387 doi "https://doi.org/10.1137/0402045" @default.
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