Analysis of Impact Made by the Flagship University on the Efficiency of Petrochemical Complex

  • Pavel Golovanov
  • Mikhail Yu. LivshitsEmail author
  • Elena Tuponosova
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 260)


The chapter deals with the problems of mathematical modeling of engineering education for the development of Cyber-physical systems. The chapter analyzes the impact of labor resources and scientific potential of the flagship university of the Samara Region on the key indicators of production capacity of modern the regional petrochemical complex as a Cyber-physical system. The following statistical characteristics of the university’s resources are taken into account: number of graduates, total number of scientific publications, performance of scientific work under grants, and generation of objects of intellectual property. Mathematical models are built in the form of the Cobb-Douglas production function. In identification of the model parameters is done by the least squares method. The output parameters of the model of the regional petrochemical production are as follows: average annual production capacity of oil incoming for processing, and annual production capacity of production of oil products and mineral lubrication oil. The approximate properties of the mathematical model are assessed by the determination factor and the F-statistics factor, and the prognostic parameters of the model with the Durbin-Watson model. Characteristics of efficiency of use of basic resources of the Samara State University are analyzed, qualitative and quantitative correlations are identified. A forecast of the production capacity of the petrochemical complex is made up to the year 2020, and prerequisites for the securing of its labor potential are found.


Modeling Cobb-Douglas production function Mathematical model Production capacity Factorial elasticity University Scientific publications Research and development work Generation of objects of intellectual property Input and output parameters 



The reported study was funded by the Russian Foundation for Basic Research (RFBR), according to research project No. 17-08-00593.


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Authors and Affiliations

  1. 1.Samara State Technical UniversitySamaraRussia

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