An Efficient Approximation Algorithm for Aircraft Arrival Sequencing and Scheduling Problem

The aircraft arrival sequencing and scheduling (ASS) problem is a salient problem in airports' runway scheduling system, which proves to be nondeterministic polynomial (NP) hard. This paper formulates the ASS in the form of a constrained permutation problem and designs a new approximation algorithm to solve it. Then the numerical study is conducted, which validates that this new algorithm has much better performance than ant colony (AC) algorithm and CPLEX, especially when the aircraft types are not too many. In the end, some conclusions are summarized.

[1]  Kenneth D Arkind Requirements for a Novel Terminal Area Capacity Enhancement Concept in 2022 , 2004 .

[2]  John-Paul Clarke,et al.  Identification of flow constraint and control points in departure operations at airport systems , 1998 .

[3]  Lucio Bianco,et al.  Scheduling Models and Algorithms for TMA Traffic Management , 1997 .

[4]  Chris N. Potts,et al.  Airport runway scheduling , 2013, Ann. Oper. Res..

[5]  Jaouad Boukachour,et al.  Hybrid method for aircraft landing scheduling based on a Job Shop formulation , 2009 .

[6]  Marco Dorigo,et al.  Optimization, Learning and Natural Algorithms , 1992 .

[7]  Dietmar Böhme,et al.  Improved airport surface traffic management by planning , 1994 .

[8]  Christopher R. Brinton,et al.  AN IMPLICIT ENUMERATION ALGORITHM FOR ARRIVAL AIRCRAFT SCHEDULING , 1992 .

[9]  Jun Zhang,et al.  An Efficient Ant Colony System Based on Receding Horizon Control for the Aircraft Arrival Sequencing and Scheduling Problem , 2010, IEEE Transactions on Intelligent Transportation Systems.

[10]  Ahmed El Hilali Alaoui,et al.  Improved Ant Colony Algorithm to Solve the Aircraft Landing Problem , 2011 .

[11]  Andreas T. Ernst,et al.  Heuristic and exact algorithms for scheduling aircraft landings , 1999, Networks.

[12]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[13]  Hamsa Balakrishnan,et al.  Algorithms for Scheduling Runway Operations Under Constrained Position Shifting , 2010, Oper. Res..

[14]  M Dorigo,et al.  Ant colonies for the travelling salesman problem. , 1997, Bio Systems.

[15]  Luca Maria Gambardella,et al.  Ant colony system: a cooperative learning approach to the traveling salesman problem , 1997, IEEE Trans. Evol. Comput..

[16]  Hanbong Lee Tradeoff evaluation of scheduling algorithms for terminal-area air traffic control , 2008 .

[17]  David Abramson,et al.  Scheduling Aircraft Landings - The Static Case , 2000, Transp. Sci..

[18]  David Abramson,et al.  Computing optimal schedules for landing aircraft , 1993 .