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Determination of Aircraft Cruise Altitude with Minimum Fuel Consumption and Time-to-Climb: An Approach with Terminal Residual Analysis

Author

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  • Taehak Kang

    (Department of Mechanical Engineering, Chung-Ang University, Seoul 06974, Korea)

  • Jaiyoung Ryu

    (Department of Mechanical Engineering, Chung-Ang University, Seoul 06974, Korea
    Department of Intelligent Energy and Industry, Chung-Ang University, Seoul 06974, Korea)

Abstract

A pandemic situation of COVID-19 has made a cost-minimization strategy one of the utmost priorities for commercial airliners. A relevant scheme may involve the minimization of both the fuel- and time-related costs, and the climb trajectories of both objectives were optimized to determine the optimum aircraft cruise altitude. The Hermite-Simpson method among the direct collocation methods was employed to discretize the problem domain. Novel approaches of terminal residual analysis (TRA), and a modified version, m-σ TRA, were proposed to determine the goals. The multi-objective cruise altitude (MOCA) was different by 2.5%, compared to the one statistically calculated from the commercial airliner data. The present methods, TRA and m-σ TRA were powerful tools in finding a solution to this complex problem. The value σ also worked as a transition criterion between a single- and multi-objective climb path to the cruise altitude. The exemplary MOCA was determined to be 10.91 and 11.97 km at σ = 1.1 and 2.0, respectively. The cost index (CI) varied during a flight, a more realistic approach than the one with constant CI. With validated results in this study, TRA and m-σ TRA may also be effective solutions to determine the multi-objective solutions in other complex fields.

Suggested Citation

  • Taehak Kang & Jaiyoung Ryu, 2021. "Determination of Aircraft Cruise Altitude with Minimum Fuel Consumption and Time-to-Climb: An Approach with Terminal Residual Analysis," Mathematics, MDPI, vol. 9(2), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:147-:d:478290
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    References listed on IDEAS

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    1. Pareto, Vilfredo, 2014. "Manual of Political Economy: A Critical and Variorum Edition," OUP Catalogue, Oxford University Press, number 9780199607952 edited by Montesano, Aldo & Zanni, Alberto & Bruni, Luigino & Chipman, John S. & McLure, Michael.
    2. Ming Zhang & Qianwen Huang & Sihan Liu & Yu Zhang, 2019. "Fuel Consumption Model of the Climbing Phase of Departure Aircraft Based on Flight Data Analysis," Sustainability, MDPI, vol. 11(16), pages 1-23, August.
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