This article obtains some sufficient conditions to establish the A-optimality of block designs with unequal block sizes for making test treatments control comparisons under a suitable heteroscedastic model. Balanced test treatments incomplete block designs with unequal block sizes of type G are defined. Some general methods of constructing these designs are given and their A-efficiencies are in...

In this article, we consider the construction of generalized group divisible designs with two groups (GGDD (2)) from balanced incomplete block designs (BIBD). We also discuss MV-optimality of these designs.

The method is proposed for building a fault-tolerant system area network (SAN) as a flat network comprised of several copies of the source network. This flat network is based on a theory of balanced incomplete block designs (BIBD).

This paper describes some new patterned methods of constructing rectangular designs from balanced incomplete block (BIB) designs and nested BIB designs, and gives a table of rectangular designs in the range of r, k ≤ 10.

We formulate the construction of cyclic partially balanced incomplete block designs with 2 associate classes as a combinatorial optimization problem. We propose an algorithm based on tabu search to tackle the problem. Our algorithm constructed 32 new cyclic designs.

Polygonal designs form a special class of partially balanced incomplete block designs. We resolve the existence problem for polygonal designs with various parameter sets and present several construction methods with blocks of small sizes.

In his book [I 1, Marshall Hall gives a table of balanced incomplete block designs with from 3 to 15 replications. It is mentioned there that a solution is unknown as to whether or not there exists a symmetric block design with parameters (v, k, h) = (36, 15, 6) (number 104 in the table). It is the purpose of this paper to show that such a design can in fact be constructed quite simply and to s...