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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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Title: Determination of the Control Criterion for Centralized Heat Supply of the City on the Basis of the Production Function with Complex Variables.
Authors: Bazil, Gulmira1 (AUTHOR), Wójcik, Waldemar2 (AUTHOR), Zaynolda, Fariza1 (AUTHOR) f.zaynolda@aues.kz, Abzhanova, Laulasyn1,2 (AUTHOR), Sagyndykova, Sholpan1 (AUTHOR)
Source: Energies (19961073). Sep2025, Vol. 18 Issue 17, p4480. 16p.
Subjects: Production functions (Economic theory), Complex variables, Resource allocation, Cogeneration of electric power & heat, Supervisory control systems, Heating from central stations, Manufacturing process management
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. [ABSTRACT FROM AUTHOR]
Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: 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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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Complex variables
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      – SubjectFull: Cogeneration of electric power & heat
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      – SubjectFull: Supervisory control systems
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      – SubjectFull: Heating from central stations
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      – SubjectFull: Manufacturing process management
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      – TitleFull: 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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              Text: Sep2025
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