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A robust approach to airport gate assignment with a solution-dependent uncertainty budget

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  • Xu, Liang
  • Zhang, Chao
  • Xiao, Feng
  • Wang, Fan

Abstract

Airport gate assignment (AGA) is a critical issue for airport operations management. It aims to assign flights to gates according to their arrival and departure times. To tackle flight delays in airports, we propose a robust airport gate assignment (RAGA) to minimize the (1−α)-quantile of the total real-time overlap between consecutive flights at the same gate, namely, the total gate blockage time, so that the realized total gate blockage time is worse than its quantile with a probability, at most α. Given any constant, we develop an asymptotically tight upper bound for the violation probability that total gate blockage time is worse than the constant. Based on the upper bound, a solution-dependent uncertainty budget is introduced to develop a robust counterpart (RCP) for the RAGA. We further develop a solution technique for the RCP by transforming the problem into a finite number of tractable binary programmings. An empirical study of the Shuangliu International Airport (CTU) indicates that our proposed robust approach for AGA outperforms existing methods.

Suggested Citation

  • Xu, Liang & Zhang, Chao & Xiao, Feng & Wang, Fan, 2017. "A robust approach to airport gate assignment with a solution-dependent uncertainty budget," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 458-478.
  • Handle: RePEc:eee:transb:v:105:y:2017:i:c:p:458-478
    DOI: 10.1016/j.trb.2017.09.013
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    1. Yan, Shangyao & Shieh, Chi-Yuan & Chen, Miawjane, 2002. "A simulation framework for evaluating airport gate assignments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(10), pages 885-898, December.
    2. Yan, Shangyao & Tang, Ching-Hui, 2007. "A heuristic approach for airport gate assignments for stochastic flight delays," European Journal of Operational Research, Elsevier, vol. 180(2), pages 547-567, July.
    3. Tu, Yufeng & Ball, Michael O. & Jank, Wolfgang S., 2008. "Estimating Flight Departure Delay DistributionsA Statistical Approach With Long-Term Trend and Short-Term Pattern," Journal of the American Statistical Association, American Statistical Association, vol. 103, pages 112-125, March.
    4. Ulrich Dorndorf & Florian Jaehn & Erwin Pesch, 2008. "Modelling Robust Flight-Gate Scheduling as a Clique Partitioning Problem," Transportation Science, INFORMS, vol. 42(3), pages 292-301, August.
    5. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    6. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    7. R. S. Mangoubi & Dennis F. X. Mathaisel, 1985. "Optimizing Gate Assignments at Airport Terminals," Transportation Science, INFORMS, vol. 19(2), pages 173-188, May.
    8. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    9. Shumsky, R.A., 1994. "Real-Time Forecasts of Aircraft Departure Queues," Papers 95-05, Rochester, Business - Center for Manufacturing and Operations Management.
    10. Yan, Shangyao & Huo, Cheun-Ming, 2001. "Optimization of multiple objective gate assignments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(5), pages 413-432, June.
    11. Wirasinghe, S. C. & Bandara, S., 1990. "Airport gate position estimation for minimum total costs--Approximate closed form solution," Transportation Research Part B: Methodological, Elsevier, vol. 24(4), pages 287-297, August.
    12. Haghani, Ali & Chen, Min-Ching, 1998. "Optimizing gate assignments at airport terminals," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(6), pages 437-454, August.
    13. Narciso, Mercedes E. & Piera, Miquel A., 2015. "Robust gate assignment procedures from an airport management perspective," Omega, Elsevier, vol. 50(C), pages 82-95.
    14. Zhang, Dong & Klabjan, Diego, 2017. "Optimization for gate re-assignment," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 260-284.
    15. Guépet, J. & Acuna-Agost, R. & Briant, O. & Gayon, J.P., 2015. "Exact and heuristic approaches to the airport stand allocation problem," European Journal of Operational Research, Elsevier, vol. 246(2), pages 597-608.
    16. Ulrich Dorndorf & Florian Jaehn & Erwin Pesch, 2012. "Flight gate scheduling with respect to a reference schedule," Annals of Operations Research, Springer, vol. 194(1), pages 177-187, April.
    17. Ulrich Dorndorf & Florian Jaehn & Erwin Pesch, 2017. "Flight gate assignment and recovery strategies with stochastic arrival and departure times," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 65-93, January.
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