Discussiones Mathematicae Probability and Statistics 21(2) (2001) 99-110


Ratnakaram Nava Mohan

D. A. R. Department of Mathematics, College,
Nuzvid-521201, A.P., India

e-mail: rnmohan@hotmail.com

Bronisław Ceranka

Department of Mathematical and Statistical Methods
Agricultural University of Poznań
Wojska Polskiego 28, 60-637 Poznań, Poland

Sanpei Kageyama

Department of Mathematics, Graduate School of Education
Hiroshima University, Higashi-Hiroshima 739-8524, Japan


The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.

Keywords: optimum chemical balance weighing design; BIB design; ARBIB design; μ-ARBIB design.

2000 Mathematics Subject Classification: Primary 05B05; Secondary 62K10.


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Received 10 November 2001