Discrete-eventing model of calculation of the duration of the production cycle of manufacturing a part of products

Author(s):  O.M. Pihnastyi, Dr., associate Professor, National Technical University «Kharkov Polytechnic Institute», Kharkov, Ukraine, pihnastyi@gmail.com

G.K. Kozevnikov, candidate of Sciences, associate Professor, National Technical University «Kharkov Polytechnic Institute», Kharkov, Ukraine, kgk4711@gmail.com

Issue:  Volume 46, № 2

Rubric:  System analysis and processing of knowledge

Annotation:  The method of calculating the duration of the production cycle for manufacturing a batch of parts is considered. The production cycle of manufacturing the batch of parts is one of the main characteristics of the production system. It is used to calculate the important indicators of planning the production activity of the factory. At present, the task of calculating the duration of the production cycle for unsynchronized production lines remains relevant. The task takes on a special relevance in the case when the processing time of a work item in a technological operation is a random quantity. The present work is devoted to the analysis of this case. To derive the equation of motion of labor objects for technological operations, a discrete-event model of the production process is used. The structure of the processing time of an object of labor on a technological operation is considered. The source of change in the value of inter-operational stocks at each technological operation is shown. The interrelation of the trajectories of the previous and after subjects of labor is analyzed. The equation of motion of an subject of labor on technological operations is recorded, taking into account the inter-operational stocks. Methods for its solution are proposed. Conditions for the applicability of the obtained results are considered. The analysis of the machine time spent for calculating the duration of the production cycle of manufacturing the batch of products for the factory of the semiconductor industry was carried out. Prospects for research have been determined.

Keywords:  production, work in progress, production line, subject of the labor, production cycle, discrete event model, stochastic process, production management systems.

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