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Stochastic capacity expansion models for airport facilities

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  • Sun, Yanshuo
  • Schonfeld, Paul

Abstract

It is important and also challenging to plan airport facilities to meet future traffic needs in a rapidly changing environment, which is characterized by various uncertainties. One key issue in airport facility development is that facility performance functions (delay levels as functions of capacity utilization rates) are nonlinear, which complicates the solution method design. Potential demand fluctuations in a deregulated aviation market add another dimension to the decision making process. To solve this problem, a deterministic total cost minimization model is proposed and then extended into stochastic programs, by including uncertainties in traffic forecasts. After the exploration of properties of the delay cost function, an Outer-Approximation (OA) technique which is superior to the existing discrete approximation is designed. After model enhancements, an efficient solution framework based on the OA technique is used to solve the model to its global optimality by interactively generating upper and lower bounds to the objective. Computational tests demonstrate the validity of developed models and efficiency of proposed algorithms. The total cost is reduced by 18.8% with the stochastic program in the numerical example.

Suggested Citation

  • Sun, Yanshuo & Schonfeld, Paul, 2015. "Stochastic capacity expansion models for airport facilities," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 1-18.
    • Handle: RePEc:eee:transb:v:80:y:2015:i:c:p:1-18
    DOI: 10.1016/j.trb.2015.06.009
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    Cited by:

    1. Stefano Coniglio & Mathias Sirvent & Martin Weibelzahl, 2021. "Airport capacity extension, fleet investment, and optimal aircraft scheduling in a multilevel market model: quantifying the costs of imperfect markets," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 367-408, June.
    2. Waltert, Manuel & Wicki, Jan & Jimenez Perez, Edgar & Pagliari, Romano, 2021. "Ratio-based design hour determination for airport passenger terminal facilities," Journal of Air Transport Management, Elsevier, vol. 96(C).
    3. Wu, Fei & Schonfeld, Paul, 2022. "Optimized two-directional phased development of a rail transit line," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 424-447.
    4. Guo, Qianwen & Chen, Shumin & Sun, Yanshuo & Schonfeld, Paul, 2023. "Investment timing and length choice for a rail transit line under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 175(C).
    5. Guo, Qian-Wen & Chen, Shumin & Schonfeld, Paul & Li, Zhongfei, 2018. "How time-inconsistent preferences affect investment timing for rail transit," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 172-192.
    6. Sixiang Zhao, 2023. "Decision rule-based method in solving adjustable robust capacity expansion problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(2), pages 259-286, April.

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