Integration of mathematical and computer simulation modeling in engineering education

Elena I. Skafa ; Elena G. Evseeva ; Mark E. Korolev

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 413-430.

Résumé

The development of modern engineering, technology, science and education is impossible without the use of computer mathematics systems. Nowadays, an engineer should be equally proficient in both methods of mathematical modeling of technical objects and processes using theoretical models and methods of simulation modeling in computer mathematics systems. This article focuses on a laboratory class, in which students are suggested to perform mathematical modeling of a production process considering it as a Markov process, based on Kolmogorov equations. Students are asked to implement the theoretical solution to the model for specific numerical data and to carry out the computer modeling of the process of searching for the limiting probabilities of system states using the authors’ virtual laboratory complex. This complex was developed on the platform for simulation of business systems AnyLogic, offering the three approaches to modelling: discrete event, agent based and system dynamics. The authors’ lab-based system allows real-time modeling of such production process parameters as workload, equipment downtime, location of agents on attractors, etc. The article suggests the implementation of 2D and 3D production process visualization, which greatly simplifies the management and decision-making process.

Détail

Keywords: mathematical modeling, computer simulation modeling, engineering education, Markov process.

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