Extended minimal routing in 2D meshes with faulty blocks

In this paper, several enhanced sufficient conditions are given for minimal routing in 2-dimensional (2D) meshes with faulty nodes contained in a set of disjoint faulty blocks. It is based on Wu's (1998, 2000) minimal routing in 2D meshes. Fault information is coded in a 4-tuple called extended safety level associated with each node to determine the feasibility of minimal routing. Specifically, we study the existence of a minimal route at a given source node based on the associated extended safety level, limited distribution of faulty block information, and minimal routing. An analytical model for the number of rows and columns that receive faulty block information is also given. Extensions to Wang's (1999) minimal-connected-components (MCCs) fault model are also considered. Simulation results show substantial improvement in terms of a higher percentage of minimal routing in 2D meshes under both fault models.