An efficient processor allocation algorithm using two-dimensional packing

The mesh is one of the most widely used interconnection networks for multiprocessor systems. We propose an approach to partition a given mesh into m submeshes which can be allocated to m tasks with grid structures. We adapt two dimensional packing to solve the submesh allocation problem. Due to the intractability of the two dimensional packing problem, finding an optimal solution is computationally infeasible. We develop an efficient heuristic packing algorithm called TP-heuristic. Allocating a submesh to each task is achieved using the results of packing. We propose two different methods called uniform scaling and non uniform scaling. Experiments were carried out to test the accuracy of solutions provided by our allocation algorithm.