AN EFFICIENT METHOD FOR APPROXIMATING SUBMESH RELIABILITY OF 2-DIMENSIONAL MESHES

An analytical model for submesh reliability of mesh-connected systems is proposed in this paper. A mesh is considered operational as long as a functional submesh of the required size is available. We use the pr inciple of inclusion and exclusion to find the exact probability of ha ving a functional submesh within a partition of the mesh. The partitio ns are taken along either dimension of the mesh. The partitions along the rows are called row partitions (RPs) and along the columns are cal led column partitions (CPs). The reliability of a partition is then us ed to approximate the submesh reliability of the system and, thus, thi s model is called partitioned mesh (PM) model. Instead of using a comp utationally intensive recursive algorithm as done in the previous work , a closed form approximation of the submesh reliability is derived in this paper. The PM model is validated through simulation and compared with the earlier proposed approximation techniques. It is shown that the PM model provides better approximations for submesh reliability wi th constant computational complexity.