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

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Listed:
  • 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)

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.

Suggested Citation

  • Gulmira Bazil & Waldemar Wójcik & Fariza Zaynolda & Laulasyn Abzhanova & Sholpan Sagyndykova, 2025. "Determination of the Control Criterion for Centralized Heat Supply of the City on the Basis of the Production Function with Complex Variables," Energies, MDPI, vol. 18(17), pages 1-16, August.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:17:p:4480-:d:1730826
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    References listed on IDEAS

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    5. Wang, Jiawei & Wang, Yi & Qiu, Dawei & Su, Hanguang & Strbac, Goran & Gao, Zhiwei, 2025. "Resilient energy management of a multi-energy building under low-temperature district heating: A deep reinforcement learning approach," Applied Energy, Elsevier, vol. 378(PA).
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