On construction of partially balanced n-ary designs

On construction of partially balanced n-ary designs

A new method of constructing a series of partially balanced ternary (PBT) designs is presented. In the method, we have added the corresponding rows of incidence matrices of a BIB design and a PBIB design, both obtained from single initial block with at least one element in common between them. The BIB and PBIB designs above were obtained by method of differences. We have also constructed PBT de...

Balanced Nested Designs and Balanced n-ary Designs

We introduce here two types of balanced nested designs (BND), which are called symmetric and pair-sum BNDs. In this paper, we give a construction for pair-sum BNDs of BIBDs from nested BIBDs and perpendicular arrays. We also give some direct constructions for pair-sum BNDs of BIBDs, based on the result obtained by Wilson (1972). By use of these constructions, we show some constructions for regu...

On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism

N-ary Codes, Designs, and Enclosings

Globally Adaptive Load-Balanced Routing on k-ary n-cubes

We introduce a new method of adaptive routing on k-ary ncubes that we refer to as Globally Adaptive Load-balance (GAL). Unlike previous adaptive routing algorithms that make routing decisions based on local information (typically channel queue depth), GAL senses congestion globally using segmented injection queues to decide the directions to route in each dimension. It further load balances the...