CONSTRUCTION AND ANALYSIS OF BALANCED INCOMPLETE SUDOKU SQUARE DESIGN

Authors

Keywords:

Balanced incomplete Latin square, Sudoku design, NP-complete.

Abstract

Sudoku squares have been widely used to design an experiment where each treatment occurs exactly once in each row, column or sub-block.  For some experiments, the size of row (or column or sub-block) may be less than the number of treatments. Since not all the treatments can be compared within each block, a new class of designs called balanced incomplete Sudoku squares design (BISSD) is proposed. A general method for constructing BISSD is proposed by an intelligent selection of certain cells from a complete Latin square via orthogonal Sudoku designs. The relative efficiencies of a delete-one-transversal balance incomplete Latin Square (BILS) design with respect to Sudoku design are derived. In addition, linear model, numerical examples and procedure for the analysis of data for BISSD are proposed

Dimensions

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Published

02-07-2020

How to Cite

CONSTRUCTION AND ANALYSIS OF BALANCED INCOMPLETE SUDOKU SQUARE DESIGN. (2020). FUDMA JOURNAL OF SCIENCES, 4(2), 290-299. https://doi.org/10.33003/fjs-2020-0402-219

Issue

Vol. 4 No. 2 (2020): FUDMA Journal of Sciences - Vol. 4 No. 2

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

CONSTRUCTION AND ANALYSIS OF BALANCED INCOMPLETE SUDOKU SQUARE DESIGN. (2020). FUDMA JOURNAL OF SCIENCES, 4(2), 290-299. https://doi.org/10.33003/fjs-2020-0402-219

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