Mathematical Model Construction of the Production Workshop Based on the Complex Network and Markov Theory
Author(s) -
Guo Gang,
Fengjing Shao
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/1912442
Subject(s) - bottleneck , key (lock) , process (computing) , production (economics) , computer science , markov chain , markov process , network model , complex network , industrial engineering , engineering , data mining , machine learning , mathematics , statistics , computer security , world wide web , economics , macroeconomics , embedded system , operating system
Because of the advantages of the complex network in describing the interaction between nodes, the complex network theory is introduced into the production process of the modern workshop in this paper. According to the characteristics of the workshop, based on extracted key nodes, the complex network model of the workshop is constructed to realize the mathematical description of the production process of the workshop. Aiming at the multidisturbance factors in the production process of the workshop, the key disturbance factors are predicted based on the Markov method, and the propagation dynamics model close to the actual production of the workshop is established. Finally, the bottleneck prediction model of the workshop under the disturbance environment is established. The simulation results show that the proposed prediction model is in good agreement with the actual data, and the coincidence rate is as high as 93.7%.
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