Risk-averse two-stage stochastic programming model for gate assignment problem under arrival time uncertainty
•A risk-averse two-stage stochastic programming model for gate assignment problem is studied.•An efficient multi-cut Benders-based branch-and-cut method is devised.•Extensive computational experiments show the performance of the solution method and model. The gate assignment problem (GAP) is a cruci...
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| Vydané v: | Computers & industrial engineering Ročník 207; s. 111269 |
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| Hlavní autori: | , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.09.2025
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| ISSN: | 0360-8352 |
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| Abstract | •A risk-averse two-stage stochastic programming model for gate assignment problem is studied.•An efficient multi-cut Benders-based branch-and-cut method is devised.•Extensive computational experiments show the performance of the solution method and model.
The gate assignment problem (GAP) is a crucial task in airport operations, aiming to allocate aircraft to terminal gates and aprons. Airport operations are subject to various uncertainties, which can affect the quality and feasibility of the gate assignment plans. Therefore, it is essential to consider these uncertainties and associated risks when constructing an effective gate assignment plan. This paper proposes a risk-averse two-stage stochastic programming (RA-TSSP) model for the GAP, where aircraft arrival times are modelled as uncertain parameters, and the conditional value at risk is adopted as the risk measure. The proposed model is reformulated as a mixed-integer linear programming model, and the sample average approximation method is employed to enhance tractability. Additionally, we propose a risk-averse multi-cut Benders-based branch-and-cut (RA-MC-BBC) method to solve the RA-TSSP model for the GAP efficiently. The performance of the proposed RA-TSSP model is validated through numerical experiments and a case study at Xiamen Gaoqi Airport in China. Results show that the proposed model offers valuable insights for airport decision-makers in managing the uncertainty and risk associated with gate assignment decision-making. Additionally, the results of the scalability analysis demonstrate significant statistical improvements in the RA-MC-BBC method. |
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| AbstractList | •A risk-averse two-stage stochastic programming model for gate assignment problem is studied.•An efficient multi-cut Benders-based branch-and-cut method is devised.•Extensive computational experiments show the performance of the solution method and model.
The gate assignment problem (GAP) is a crucial task in airport operations, aiming to allocate aircraft to terminal gates and aprons. Airport operations are subject to various uncertainties, which can affect the quality and feasibility of the gate assignment plans. Therefore, it is essential to consider these uncertainties and associated risks when constructing an effective gate assignment plan. This paper proposes a risk-averse two-stage stochastic programming (RA-TSSP) model for the GAP, where aircraft arrival times are modelled as uncertain parameters, and the conditional value at risk is adopted as the risk measure. The proposed model is reformulated as a mixed-integer linear programming model, and the sample average approximation method is employed to enhance tractability. Additionally, we propose a risk-averse multi-cut Benders-based branch-and-cut (RA-MC-BBC) method to solve the RA-TSSP model for the GAP efficiently. The performance of the proposed RA-TSSP model is validated through numerical experiments and a case study at Xiamen Gaoqi Airport in China. Results show that the proposed model offers valuable insights for airport decision-makers in managing the uncertainty and risk associated with gate assignment decision-making. Additionally, the results of the scalability analysis demonstrate significant statistical improvements in the RA-MC-BBC method. |
| ArticleNumber | 111269 |
| Author | Jin, Zhongyi Sun, Xuting Ng, Kam K.H. Qin, Yichen Zhang, Chenliang |
| Author_xml | – sequence: 1 givenname: Chenliang orcidid: 0000-0002-4509-6099 surname: Zhang fullname: Zhang, Chenliang organization: Department of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China – sequence: 2 givenname: Kam K.H. surname: Ng fullname: Ng, Kam K.H. email: kam.kh.ng@polyu.edu.hk organization: Department of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China – sequence: 3 givenname: Zhongyi orcidid: 0000-0001-7414-6836 surname: Jin fullname: Jin, Zhongyi organization: Department of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China – sequence: 4 givenname: Xuting orcidid: 0000-0002-1985-153X surname: Sun fullname: Sun, Xuting organization: SILC Business School, Shanghai University, Shanghai 201899, China – sequence: 5 givenname: Yichen surname: Qin fullname: Qin, Yichen organization: School of Economics and Management, Shanghai Maritime University, Shanghai 201306, China |
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| Keywords | Risk aversion Conditional-value-at-risk Benders-based branch-and-cut Gate assignment operations Two-stage stochastic programming |
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