UDC 004.724
MATHEMATICAL AND COMPUTER MODELING OF HETEROGENEOUS RESOURCES PLANNING AND ALLOCATION IN INDUSTRIAL NETWORKS
D. A. Perepelkin, Dr. Sc. (Tech.), associate professor, Dean of FCE RSREU, Ryazan, Russia; orcid.org/0000-0003-4775-5745,
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A. M. Pham, post-graduate student, RSREU, Ryazan, Russia; orcid.org/0000-0002-3055-3568, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The aim of the work is to develop mathematical and software tools for modeling planning and allocating processes of heterogeneous resources in industrial networks. Two approaches to the application of functional dependencies of random values of resources to the model of GERT-network are proposed: parallel and sequential, which corresponds to the processes of planning and allocating resources. The approaches proposed in the work allow expanding the capabilities of classical GERT-networks. To generalize the process of implementation and automation of calculations, a computer modeling system has been developed. The main stages of mathematical modeling of industrial networks based on GERT-models are also proposed. An algorithm for planning and allocating of heterogeneous resources in t industrial networks has been developed. A computer modeling system ResourceModeler has been developed, which allows calculating the distribution laws of output values in a GERT-network using linear functional dependencies based on the heterogeneity of resources.
Key words: industrial telecommunication networks, mathematical modeling, computer modeling, GERTnetworks, heterogeneous resources, probability density function, characteristic function.