Abstract:
An approach to solving the problem of separating two convex nonintersecting
polyhedrons by the layer of maximum thickness is proposed. A parallel algorithm
based on a method of using Fejer mappings is described. This algorithm admits
an efficient implementation on the massively parallel multiprocessor systems.
The results of computing experiments confirming the efficiency of the proposed
approach are discussed. This work was supported by the Russian Foundation
for Basic Research (project N 09-01-00546а).