A Study on Disrupted Flight Recovery Based on Logic-Based Benders Decomposition Method

Aiming at the disrupted flight recovery problem, this paper established a mixed-integer programming model based on the resource assignment model to minimize the recovery cost. To deal with the large-scale examples, the Logic-Based Benders decomposition algorithm is designed to divide the problem int...

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Veröffentlicht in:	Aerospace Jg. 11; H. 5; S. 378
Hauptverfasser:	Peng, Yunfang, Hu, Xuechun, Xia, Beixin
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Basel MDPI AG 01.05.2024
Schlagworte:	Air transportation industry Air travel Aircraft Airlines Airports Algorithms Analysis Artificial intelligence Aviation Benders decomposition constraint programming model Decomposition disrupted flight schedule recovery Economic aspects Flight Heuristic Integer programming integer programming model Linear programming Logic logic-based benders decomposition algorithm Methods Mixed integer Optimization techniques Passengers Recovery Scheduling Traffic flow
ISSN:	2226-4310, 2226-4310
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Abstract	Aiming at the disrupted flight recovery problem, this paper established a mixed-integer programming model based on the resource assignment model to minimize the recovery cost. To deal with the large-scale examples, the Logic-Based Benders decomposition algorithm is designed to divide the problem into a master problem and sub-problems. The algorithm uses MIP in the master problem to determine flight cancellations and aircraft replacements. In the sub-problems, MIP or CP is used to determine the departure time of delayed flights. Later, incorporating sectional constraints into the main problem and iterating until an optimal solution is obtained. Furthermore, the added cutting plane constraint in the iterations of the Benders decomposition algorithm are strengthened to eliminate more inferior solutions. By comparing the results of CPLEX, the Logic-Based Benders decomposition algorithm, and the enhanced Benders decomposition algorithm, it is verified that the improved Benders decomposition algorithm can solve large-scale examples more efficiently with a faster time and fewer iterations.
AbstractList	Aiming at the disrupted flight recovery problem, this paper established a mixed-integer programming model based on the resource assignment model to minimize the recovery cost. To deal with the large-scale examples, the Logic-Based Benders decomposition algorithm is designed to divide the problem into a master problem and sub-problems. The algorithm uses MIP in the master problem to determine flight cancellations and aircraft replacements. In the sub-problems, MIP or CP is used to determine the departure time of delayed flights. Later, incorporating sectional constraints into the main problem and iterating until an optimal solution is obtained. Furthermore, the added cutting plane constraint in the iterations of the Benders decomposition algorithm are strengthened to eliminate more inferior solutions. By comparing the results of CPLEX, the Logic-Based Benders decomposition algorithm, and the enhanced Benders decomposition algorithm, it is verified that the improved Benders decomposition algorithm can solve large-scale examples more efficiently with a faster time and fewer iterations.
Audience	Academic
Author	Hu, Xuechun Peng, Yunfang Xia, Beixin
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SubjectTerms	Air transportation industry Air travel Aircraft Airlines Airports Algorithms Analysis Artificial intelligence Aviation Benders decomposition constraint programming model Decomposition disrupted flight schedule recovery Economic aspects Flight Heuristic Integer programming integer programming model Linear programming Logic logic-based benders decomposition algorithm Methods Mixed integer Optimization techniques Passengers Recovery Scheduling Traffic flow
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Title	A Study on Disrupted Flight Recovery Based on Logic-Based Benders Decomposition Method
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