Simulation Petri Net Model in the Tasks of Operational Control of Discrete Production [Оптимизационно-имитационный подход к оперативному управлению дискретным производством]

Описание

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.17587/mau.23.309-316

Ключевые слова: metaheuristic algorithms, operational scheduling, optimization-simulation approach, petri net, shuffled frog-leaping algorithm

Аннотация: The presented article describes the approach to solving the task of discrete production control based on the reference imitation model. A discrete production system, represented by typical technological equipment, was chosen as the object of research. The simulation model uses the mathematical apparatus of temporary Petri nets. A mПоказать полностьюethod for automated synthesis of ready-to-use production models has been formed and tested. The method is based on the idea of synthesizing a production process model from models of typical technological processes. In the practice of applying Petri nets, the complexity of developing, subsequent interpretation of models, and, consequently, making changes are factors that significantly hinder their practical use. A new way of influencing the criterion is proposed by setting different incidence ratios in the Petri net. In the structure of the incidence matrix, the invariable and variable parts are distinguished. A method for specifying the structure of the variable part through the vector of parameters is described, which made it possible to use a metaheuristic algorithm for finding its best structure. The problem of optimal production planning defined for the approach described above is formulated. The bioinspired algorithm of jumping frogs is adapted to the search for the best network structure for a given optimality criterion. Changes in the specified algorithm made it possible to reduce the number of search steps, as well as work with discrete type parameters. In the process of solving, the most popular optimality criterion was used. The obtained theoretical results are within the framework of the optimization-simulation approach and are its logical development. The developed approach to solving the problem of optimal production control develops the theory of Petri nets, makes it more suitable for modeling complex systems with a branched structure and a large number of interconnections. On the basis of the developed theoretical provisions, a test example is presented that characterizes the effect of their application. Recommendations for the practical use of the proposed approach in the sense of minimizing the time for making managerial decisions with the required accuracy are determined. © 2022 New Technologies Publishing House. All Rights Reserved.

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Издание

Журнал: Mekhatronika, Avtomatizatsiya, Upravlenie

Выпуск журнала: Vol. 23, Is. 6

Номера страниц: 309-316

ISSN журнала: 16846427

Персоны

  • Sochnev A.N. (Siberian Federal University, Krasnoyarsk, 660041, Russian Federation)

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