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A hierarchical multi-objective optimizationOptimization process is applied to the performance of an Airbus-A320-type aircraft. Six designDesign variables are used to calibrate wing geometry, mean aerodynamic chord and take-off thrust potential. Functional constraints are enforced (interval bound on static margin and upper bound on wing span). The system is subject to the classical Breguet laws of Flight MechanicsMechanics and to theNumerical-integration numericalNumerical integrationIntegration of the ascent phase. It is thus an Ordinary-DifferentialDifferential-EquationEquation-constrained system and it is evaluated by the open-source software FAST-OAD. Three costFunctionals functionalsCost-function are minimized: fuel mass at take-off, operational empty weight, and ascent duration. The first two, considered of preponderant importance are prioritized, and the third only secondary. The method permits, at moderate numericalNumerical cost, to identify quasi-Pareto-optimal by Nash games originating from Pareto-optimal solutionsSolution of the sole prioritized costFunction functionsCost-function.

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Prioritized Multi-objective Optimization  of an Aircraft Flight Performance Based on Nash Games from Preponderant Pareto-Optimal Points

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  • 发表日期：

    2026年

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  • Jean-Antoine Désidéri,
  • Julien Wintz,
  • Mickaël Binois,
  • Nathalie Bartoli,
  • Christophe David,
  • Sébastien Defoort

摘要

A hierarchical multi-objective optimizationOptimization process is applied to the performance of an Airbus-A320-type aircraft. Six designDesign variables are used to calibrate wing geometry, mean aerodynamic chord and take-off thrust potential. Functional constraints are enforced (interval bound on static margin and upper bound on wing span). The system is subject to the classical Breguet laws of Flight MechanicsMechanics and to theNumerical-integration numericalNumerical integrationIntegration of the ascent phase. It is thus an Ordinary-DifferentialDifferential-EquationEquation-constrained system and it is evaluated by the open-source software FAST-OAD. Three costFunctionals functionalsCost-function are minimized: fuel mass at take-off, operational empty weight, and ascent duration. The first two, considered of preponderant importance are prioritized, and the third only secondary. The method permits, at moderate numericalNumerical cost, to identify quasi-Pareto-optimal by Nash games originating from Pareto-optimal solutionsSolution of the sole prioritized costFunction functionsCost-function.