Construction of group divisible designs and rectangular designs from resolvable and almost resolvable balanced incomplete block designs |
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| Institution: | 1. Department of Remote Sensing and Geoinformation Engineering, Southwest Jiaotong University, Chengdu, China;2. School of Civil Engineering and Architecture, Southwest Petroleum University, Chengdu, China |
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| Abstract: | In this paper, we present a general construction of group divisible designs and rectangular designs by utilising resolvable and “almost resolvable” balanced incomplete block designs. As special cases, we obtain the following E-optimal designs: (a) Group divisible (GD) designs with λ2=λ1+1 and (b) Rectangular designs with 2 rows and having λ3=λ2−1=λ1+1. Many of the GD designs are optimal among binary designs with regard to all type 1 criteria. |
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