کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1150218 957917 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of BSAs and cyclic BSAs of block size three
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence of BSAs and cyclic BSAs of block size three
چکیده انگلیسی
A k-sized balanced sampling plan avoiding adjacent units (or BSA(v,k,λ;α) in short) is a pair (X,B), where X is a v-set with a cyclic order (x1,x2,…,xv) and B is a collection of k-subsets of X called blocks, such that no pair of s-adjacent units (xi,xi+s) appears in any block where s=1,2,…,α, while any other pair of units appears in exactly λ blocks. Let Zv={0,1,…,v-1} denote the cyclic additive group of order v and (Zv,B) a BSA(v,k,λ;α). If Zv is an automorphism group of the BSA(v,k,λ;α), then (Zv,B) is said to be cyclic and denoted by CBSA(v,k,λ;α). In this paper, the necessary and sufficient conditions for the existence of cyclic BSA(v,3,λ;4) are established by using Langford sequences. Furthermore, by utilizing 3-IGDDs and a kind of auxiliary designs called BSA*(v,{2,3},λ;α), the necessary and sufficient conditions for the existence of a BSA(v,3,λ;4) are finally determined.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 137, Issue 4, 1 April 2007, Pages 1496-1511
نویسندگان
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