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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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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,â¦,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,â¦,α, while any other pair of units appears in exactly λ blocks. Let Zv={0,1,â¦,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
Journal: Journal of Statistical Planning and Inference - Volume 137, Issue 4, 1 April 2007, Pages 1496-1511
نویسندگان
Jing Zhang, Yanxun Chang,