Constructions of Balanced Incomplete Block Design Generation (127, 2667, 63, 3, 1)

The aim of this article is to constructa balanced incomplete block design by using the Greedy algorithm. Block designs play an important role in the area of statistical experiment design under some conditions in order to examine optimal design. Additionally, the main advantages of applying experimental design is to decrease systematic variation and enhance the accuracy of impact prediction. Balanced incomplete blocks designs (BIBD) as a type of block designs can be considered for the situations in which same number of every block and application level exist. Also, BIBD generation is a NP-hard problem that provides an excellent benchmark since it is scalable and has a wide variety of problem instances.