Abstract
The article is devoted to the research of efficiency of a multiprocessor computing system in solving problems aimed at expanding the computing area. The basic regularities concerning the time of solving the problem are revealed, depending on the change in the multiprocessor system calculations area. The research is aimed at determining the deceleration factor associated with the increase of the computing area of a multiprocessor system when compared with the computer version with an unlimited computing area. The analytical ratios are derived for determining the calculations deceleration coefficient. A stage of simulation for calculations of the deceleration factor was carried out to determine the regularities of its change, depending on the application of a particular computing platform. The revealed tendencies of such a change point to the need to reconcile the components of the network interface and computing capabilities of the chosen computing platform. The derived analytical relations were aimed at determining the optimal number of nodes of a multiprocessor system which allow the minimum delay of calculations.
Highlights
A number of publications appeared, aimed at studying the efficiency of solving applied problems with the help of multiprocessor systems
At the same time it is necessary to solve the following problems: 1. To perform research aimed at determining the deceleration factor associated with an increase in the computing area in multiprocessor systems distributed over its nodes in comparison with a computer with an unlimited computing area
The working methods of analyzing the multiprocessor systems efficiency do not allow to determine the optimal number of its nodes for solving a certain class of problems taking into account the calculations
Summary
A number of publications appeared, aimed at studying the efficiency of solving applied problems with the help of multiprocessor systems. The publication [4] showed the studies that were conducted to determine the load capacity of the cluster system communication lines This allowed to set the optimal number of nodes of multiprocessor system for different modes of its operation. To perform research aimed at determining the deceleration factor associated with an increase in the computing area in multiprocessor systems distributed over its nodes in comparison with a computer with an unlimited computing area. The working methods of analyzing the multiprocessor systems efficiency do not allow to determine the optimal number of its nodes for solving a certain class of problems taking into account the calculations. We should note that if the iteration computing time depends only on the processor power, the time of the boundary data interchange is determined by the size of a difference grid, the number of nodes of the cluster system and the bandwidth of the computing network.
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