M. M. Bayas


In modern conditions of manufacturing the ever increasing size of enterprises leads to objective changes in the interdependence of their
subordinated structures. The resulting complexity requires modernization of the process management systems. One important direction task in this modernization is the development of effective methods of coordination. Therefore, this article addresses the problem of coordination in decision making among a group of autonomous production units. The object of study is the local decision making process on a dairy plant, which operate with three production lines. The subject of study is the coordination of operations when there is only one
packaging machine. The objective of this work is to increase the overall effectiveness index of a system of production units by means of
optimal resource allocation and synchronization of operations of technological processes. For effective coordination it is proposed a
method that ensures the optimization of processes while considering the particular preferences of each local decision-making unit. For each
subordinated decision unit or coordinator, an objective function measures the effectiveness of the subprocesses activities. The coordinator affects the lower-level decision-making so that the performance of the whole system is optimized. It incorporates a hierarchical multilevel system for the management of activities, and the detailed mathematical modeling of the sequencing of operations. The method proposed is based on the theory of fuzzy sets and fuzzy logic. The decision-making process is accomplished by a minimax estimation of the membership functions. The coordinated operations give as result a higher global effectiveness. Additionally, for the comparison of
preferences, the normalized criteria of effectiveness based on the technological characteristics of each process are suggested.


coordination of subprocess, fuzzy method, hierarchical multilevel system, decision-making.


Месарович М. Теория иерархических многоуровневых систем / М. Месарович, Д. Мако, И. Такахара. – М. : Мир, 1973. – 344 с. 2. Ладанюк О. А. Автоматизированное управление взаимосвязанными подсистемами технологических комплексов пищевых производств: дисертаційна робота на здобуття наукового ступеню канд. техн. наук / О. А. Ладанюк. – К. : 1996. – 176 с. 3. Бурков В. Н. Основы математической теории активных систем / В. Н. Бурков. – М. : Наука, 1977. – 255 с. 4. Новиков Д. А. Механизмы функционирования многоуровневых организационных систем. / Д. А. Новиков. – М. : Фонд «Проблемы управления», 1999. – 150 с. 5. Beckmann M. Management production function and the theory of the firm / M. Beckmann // Journal of Economic Theory. – 1977. – № 14 – P. 1–18. 6. Goubko M. V. Optimal hierarchies of control for cost functions presentable as sum of homogenous functions. / M. V. Goubko // Automation and Remote Control. – 2010. – Vol. 71, № 9.– P. 1913–1926. 7. Mishin S. P. Optimal stimulation in multilevel hierarchical structures. / S. P. Mishin // Automation and Remote Control 65, 2004. – № 5. – P. 768–789. 8. Воронин А. А. Оптимальные иерархические структуры / А. А Воронин, С. П. Мишин. – М. : ИПУ РАН, 2003. – 210 с. 9. Malone T. W. The interdisciplinary study of coordination / T. W. Malone, K. Crowston // ACM Comput. Surveys. – 1994. – Vol. 26, № 1. – P. 87–119. 10. Dubovoy V.M. Decision-making in the management of branched technological processes: monograph / V. M. Dubovoy, G. Y. Derman, I. V. Pylypenko, M. M. Bayas. – Vinnitsa : VNTU, 2013. – 223 c.

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