Abstract:In the distributed memory multiprocessor (DMM) systems, communication overhead, involved among tasks run on different processors, is still large which even offsets the advantages brought by multiprocessor parallelism. In order to execute a parallel application efficiently, it is necessary to choose an appropriate scheduling technology to allocate processors to tasks. In this paper, formal description of general scheduling system including task model, processor model and schedule problem is presented. Three most important problems, concerning schedule in incompletely interconnected homogeneous systems, are studied, which are: (1) How to choose scheduling tasks in sequence, (2) How to choose a route, (3) How to allocate processors to tasks. In addition, the problem on how to choose a route is studied according to store-and-forward and wormhole routing respectively. In the end, a static scheduling algorithm for incompletely interconnected homogeneous systems is constructed according to the solutions to the above three problems.