A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties

A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties

Splitting balanced incomplete block designs

A new family of balanced incomplete block designs with nested rows and columns

In this paper we method of block with in which each block (mod 8) a or a power, v construction the existence of of primitive element in G F( v). We have verified the existence of these for all such v, v S 1000. We conjecture that this nT'1Tn1It"TP element must exist for all such Each such m rr."nl1·'rlr·1"u,n with a result of Uddin [11] rise to an infinite family of BIBRC's where the number of ...

Non-Isomorphic Solutions of Some Balanced Incomplete Block Designs II

Some techniques are developed for constructing non-isomorphic solutions of symmetric (4t + 3,2t + 1, t) designs for suitable values of t and for (4t + 2, 8t + 2,4t + 1,2t + 1,2t) and (4t + 4, St + 6,4t + 3,2t + 2,2t + 1) designs. As an application, some non-isomorphic solutions of (19,9,4), (10,18, 9, 5, 4), and (12, 22, 11, 6, 5) designs are obtained. In [l] some other techniques were given fo...

Finding Balanced Incomplete Block Designs with Metaheuristics

This paper deals with the generation of balanced incomplete block designs (BIBD), a hard constrained combinatorial problem with multiple applications. This problem is here formulated as a combinatorial optimization problem (COP) whose solutions are binary matrices. Two different neighborhood structures are defined, based on bit-flipping and position-swapping. These are used within three metaheu...