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An aggregate stochastic programming model for air traffic flow management

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  • Andreatta, Giovanni
  • Dell'Olmo, Paolo
  • Lulli, Guglielmo

Abstract

In this paper, we present an aggregate mathematical model for air traffic flow management (ATFM), a problem of great concern both in Europe and in the United States. The model extends previous approaches by simultaneously taking into account three important issues: (i) the model explicitly incorporates uncertainty in the airport capacities; (ii) it also considers the trade-off between airport arrivals and departures, which is a crucial issue in any hub airport; and (iii) it takes into account the interactions between different hubs. The level of aggregation proposed for the mathematical model allows us to solve realistic size instances with a commercial solver on a PC. Moreover it allows us to compute solutions which are perfectly consistent with the Collaborative Decision-Making (CDM) procedure in ATFM, widely adopted in the USA and which is currently receiving a lot of attention in Europe. In fact, the proposed model suggests the number of flights that should be delayed, a decision that belongs to the ATFM Authority, rather than assigning delays to individual aircraft.

Suggested Citation

  • Andreatta, Giovanni & Dell'Olmo, Paolo & Lulli, Guglielmo, 2011. "An aggregate stochastic programming model for air traffic flow management," European Journal of Operational Research, Elsevier, vol. 215(3), pages 697-704, December.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:3:p:697-704
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    3. Chen, Dan & Hu, Minghua & Zhang, Honghai & Yin, Jianan & Han, Ke, 2017. "A network based dynamic air traffic flow model for en route airspace system traffic flow optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 1-19.
    4. Hamdan, Sadeque & Jouini, Oualid & Cheaitou, Ali & Jemai, Zied & Granberg, Tobias Andersson & Josefsson, Billy, 2022. "Air traffic flow management under emission policies: Analyzing the impact of sustainable aviation fuel and different carbon prices," Transportation Research Part A: Policy and Practice, Elsevier, vol. 166(C), pages 14-40.
    5. Caccavale, Maria Virginia & Iovanella, Antonio & Lancia, Carlo & Lulli, Guglielmo & Scoppola, Benedetto, 2014. "A model of inbound air traffic: The application to Heathrow airport," Journal of Air Transport Management, Elsevier, vol. 34(C), pages 116-122.
    6. Agustı´n, A. & Alonso-Ayuso, A. & Escudero, L.F. & Pizarro, C., 2012. "On air traffic flow management with rerouting. Part II: Stochastic case," European Journal of Operational Research, Elsevier, vol. 219(1), pages 167-177.

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