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    This study introduces a novel bilevel evolutionary algorithm for engine calibration, improving efficiency by analyzing variable sensitivity. The method optimizes engine performance and reduces fuel consumption in complex, costly black-box problems.

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    Area of Science:

    • Automotive Engineering
    • Optimization Algorithms
    • Computational Intelligence

    Background:

    • Engine calibration involves complex, costly black-box optimization problems with objective space constraints.
    • Existing surrogate-assisted evolutionary algorithms often neglect variable sensitivity analysis, leading to inefficient optimization.
    • Understanding variable impact is crucial for effective engine calibration.

    Purpose of the Study:

    • To propose a novel surrogate-assisted bilevel evolutionary algorithm for real-world engine calibration.
    • To address the limitations of existing methods by incorporating variable sensitivity analysis.
    • To enhance efficiency in constraint handling and optimize fuel consumption.

    Main Methods:

    • A surrogate-assisted bilevel evolutionary algorithm was developed.
    • Principal Component Analysis (PCA) was used for variable sensitivity analysis and classification into lower-level and upper-level variables.
    • An ordinal-regression-based surrogate model estimated solution feasibility.

    Main Results:

    • The proposed algorithm effectively handles constraints in engine calibration.
    • It achieved a smaller fuel consumption value compared to state-of-the-art methods.
    • Variable sensitivity analysis directed optimization efforts towards more impactful parameters.

    Conclusions:

    • The surrogate-assisted bilevel evolutionary algorithm offers an efficient approach to engine calibration.
    • Incorporating variable sensitivity analysis significantly improves optimization performance.
    • The method demonstrates superior constraint handling and fuel economy optimization for gasoline engines.