کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7547960 | 1489839 | 2018 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On optimal policy in the group testing with incomplete identification
ترجمه فارسی عنوان
در سیاست مطلوب در آزمایش گروه با شناسایی ناقص
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کلمات کلیدی
برنامه نویسی دینامیک، طراحی مطلوب، مشکل پارتیشن محرک شور،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
چکیده انگلیسی
Consider a very large (infinite) population of items, where each item independent from the others is defective with probability p, or good with probability q=1âp. The goal is to identify N good items as quickly as possible. The following group testing policy (policy A) is considered: test items together in the groups, if the test outcome of group i of size ni is negative, then accept all items in this group as good, otherwise discard the group. Then, move to the next group and continue until exact N good items are found. The goal is to find an optimal testing configuration, i.e., group sizes, under policy A, such that the expected waiting time to obtain N good items is minimal. Recently, Gusev (2012) found an optimal group testing configuration under the assumptions of constant group size and N=â. In this note, an optimal solution under policy A for finite N is provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 140, September 2018, Pages 44-47
Journal: Statistics & Probability Letters - Volume 140, September 2018, Pages 44-47
نویسندگان
Yaakov Malinovsky,