Mathematical model of the problem of network planning of industrial tasks at an enterprise

Abstract

A mathematical model of the problem of network distribution of production problems at an enterprise has been studied. A specific class of scale-invariant graphs, called pre-fractal graphs is used as a model of an hierarchical structure of an organization divisions. As a result, the task of distributing production problems is reduced to the problem of covering a prefractal graph with simple non-intersecting chains in a multi-criteria formulation.

Keywords

• network distribution of production tasks
• resource allocation
• prefractal graph
• distributed computing
• multicriteria optimization