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Multi-criteria optimisation problems for chemical engineering systems and algorithms for their solution based on

B B Orazbayev1, K N Orazbayeva1, L T Kurmangaziyeva2

  • 1Atyrau Institute of Oil and Gas, Kazakhstan, Atyrau, microdistrict Sarykamys, Akchtanova street, house 20;

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Summary

This study introduces new fuzzy mathematical methods for optimizing chemical engineering systems with multiple criteria and uncertainty. These advancements provide improved algorithms for complex industrial processes like benzene production.

Keywords:
benzene productionmulti-criteria optimisationoptimisation principlesthe task of fuzzy mathematical programming

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Area of Science:

  • Chemical Engineering
  • Operations Research
  • Fuzzy Mathematics

Background:

  • Chemical engineering systems often involve multi-criteria optimization problems.
  • Industrial processes frequently operate under conditions of uncertainty.
  • Existing optimization methods may not adequately address fuzzy environments.

Purpose of the Study:

  • To develop novel mathematical formulations for multi-criteria optimization in fuzzy environments.
  • To create new algorithms for solving these complex optimization problems.
  • To enhance the optimization of chemical engineering systems, such as industrial benzene production.

Main Methods:

  • Formulation of multi-criteria equations for fuzzy mathematical programming.
  • Development of algorithms based on fuzzy mathematical methods.
  • Modification of optimization principles using fuzzy logic.

Main Results:

  • New mathematical models for fuzzy optimization problems in chemical engineering.
  • Heuristic algorithms tailored for solving these fuzzy multi-criteria problems.
  • Demonstrated applicability to industrial installations like benzene production.

Conclusions:

  • Fuzzy mathematical methods offer a robust framework for chemical engineering optimization under uncertainty.
  • The developed formulations and algorithms improve the efficiency of complex system management.
  • This research contributes to more effective operational regime optimization in industrial settings.