The relation between autonomous and communication phases determines the throughput of parallel structured information processing systems. Such a relation depends on the algorithm which is to implement and the technical parameters of the system. As shown in the example of the numerical solution of the Laplace's differential equation the sensitivity of the relation, compared to parameter changes, increases significantly with an increasing reduction of the data transmission time. An optimal number of processors in a SIMD-architecture can be indicated for the implementation of a Laplace differential equation.
R. W. Schulze