UDC 004.724
STOCHASTIC NETWORKS USE WHEN PLANNING ASSEMBLED OPERATIONS WITH FUNCTIONS FROM RANDOM VALUES
A. P. Shibanov, Dr. Sc. (Tech.), full professor, RSREU, Ryazan, Russia;
orcid.org/0000-0002-9438-8338, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
A. D. Nguyen, post-graduate student, RSREU, Ryazan, Russia;
orcid.org/0000-0002-3695-4557, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The aim of the work is to use networks of a stochastic structure for solving the problems with functions of random variables when planning assembly operations. The numerical method and the program for finding the function and the probability density of the output value of GERT network using the inversion formula are used. Actual problems of finding control time are solved depending on the functional relationships that associate this time with the laws of distributing the execution time of controlled operations. The analysis of service equipment performance, ensuring the readiness of components of the assembled device is considered. The probability and distribution of recovery time of service staff are set when it is not ready. We consider numerical methods for finding the distribution of device assembly time as the maximum of several random variables.
Key words: assembly operations, GERT networks, random variable, inversion formula, probability distribution function, probability density, inverse function, normal distribution.