Abstract: This article comprehensively examines the issues of modeling and evaluation of dynamically interacting production processes. In the modern production environment, areas of work require the operational consideration of numerous and sometimes conflicting factors. These factors encompass intricate parallel and sequential interactions among system components, the unstable and ambiguous nature of dynamic processes, as well as the extensive range of their state spaces. In such a complex environment, the construction of adequate mathematical models for decision-making and effective process management is of particular importance. At the same time, the significant complexity and uncertainty of the tasks involved, along with the influence of the human element, which largely shapes the quality and standards of modern solutions, are crucial factors in the modeling process.The article proposes appropriate methods and approaches for the assessment of dynamic production systems, taking into account these features, analyzes the relationships between processes, and provides practical recommendations for increasing the efficiency of the system. The proposed approach allows for the optimization of the decision-making process in the production environment and more efficient use of resources.

Keywords: modeling, Petri net, production, fuzzy, dynamic, incident matrix

Pages: 78-82