THE ROLE OF MATHEMATICAL MODELING FOR MANAGING TECHNOLOGICAL PROCESS MODELS
Abstract
This article examines the crucial role of mathematical modeling in managing technological process models. It explores various theoretical approaches—including differential, integral, and algebraic models—and demonstrates how these methods facilitate process simulation, optimization, and control. The discussion highlights the benefits of integrating mathematical modeling with advanced technologies for predictive maintenance and adaptive control, while also addressing challenges such as model complexity, data quality, and computational demands. Future directions for research, including the incorporation of artificial intelligence and digital twin systems, are also outlined.
Keywords
mathematical modeling, technological process management, process simulation, process optimization, control systems, digital twins, predictive maintenance, computational modelingHow to Cite
References
1.Biegler, L. T. (2010). Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes. SIAM.
2.Grossmann, I. E. (2002). Review of Nonlinear Mixed-Integer and Disjunctive Programming Techniques. Optimization and Engineering, 3(3), 227–252.
3.Rawlings, J. B., & Mayne, D. Q. (2009). Model Predictive Control: Theory and Design. Nob Hill Publishing.
4.Aris, R. (1965). Introduction to the Analysis of Chemical Reactors. Prentice Hall.
5.Lewis, F. L., Vrabie, D., & Syrmos, V. L. (2012). Optimal Control. John Wiley & Sons.
6.Scott, R. L. (2008). Computer Simulation of Industrial Processes: Principles and Applications. Wiley.
7.Seydel, R. (2010). Tools for Nonlinear Optimization: A Practical Guide. Springer.
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