Determination of the Control Criterion for Centralized Heat Supply of the City on the Basis of the Production Function with Complex Variables

Gulmira Bazil, Waldemar Wójcik, Fariza Zaynolda (), Laulasyn Abzhanova and Sholpan Sagyndykova
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Gulmira Bazil: Department of Automation and Control, Almaty University of Power Engineering and Telecommunications Named after Gumarbek Daukeyev, 050013 Almaty, Kazakhstan
Waldemar Wójcik: Department Electrical Engineering and Computer Science, Lublin University of Technology, 20-618 Lublin, Poland
Fariza Zaynolda: Department of Automation and Control, Almaty University of Power Engineering and Telecommunications Named after Gumarbek Daukeyev, 050013 Almaty, Kazakhstan
Laulasyn Abzhanova: Department of Automation and Control, Almaty University of Power Engineering and Telecommunications Named after Gumarbek Daukeyev, 050013 Almaty, Kazakhstan
Sholpan Sagyndykova: Department of Automation and Control, Almaty University of Power Engineering and Telecommunications Named after Gumarbek Daukeyev, 050013 Almaty, Kazakhstan

Energies, 2025, vol. 18, issue 17, 1-16

Abstract: The aim of this work is to determine the production function using the method of complex-valued economics as a criterion for the management of the centralized heat supply of a city. This paper used the methodology of using stepped production functions of complex variables with real coefficients as a tool to perform dynamic analysis and forecasting of production results, allowing the performance of Manufacturing Execution System tasks of the heat supply system to be tracked. Based on this, a justified selection of a management criterion was made, objectively reflecting both the passive and active components of the administrative and economic activities of the heat supply enterprise. A comparative analysis of production functions was conducted to identify a predictive model for resource provision in the process of heat energy generation. A predictive model of resource provision was developed based on the capital/labor ratio of the enterprise, using a production function with complex variables. In other words, determining the production function allows the analysis of both the quantity and quality of resources used to produce 1 Gcal of energy, as well as the forecast of resource procurement to ensure a reliable and cost-effective heat supply.

Keywords: heat supply; management criterion; production function; complex-valued economy (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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