Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time

This paper presents an optimization model for assigning a set of arrival and departure flights to multiple runways and determining their actual times with consideration of incursions. Due to the lack of data, fuzzy incursion time is used to describe the uncertainty with the help of artificial experi...

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Main Authors: Bo Sun, Ming Wei, Binbin Jing
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2021334?viewType=HTML
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author Bo Sun
Ming Wei
Binbin Jing
author_facet Bo Sun
Ming Wei
Binbin Jing
author_sort Bo Sun
collection DOAJ
description This paper presents an optimization model for assigning a set of arrival and departure flights to multiple runways and determining their actual times with consideration of incursions. Due to the lack of data, fuzzy incursion time is used to describe the uncertainty with the help of artificial experience. Moreover, the multiple-goal priority considerations of air traffic controllers are also fully considered in this model. The two objectives are to simultaneously minimize delays in arrival and departure flights. Since this problem is NP-hard, a novel polynomial algorithm based on queuing theory is also proposed to obtain acceptable solutions efficiently. Finally, a real-world example is provided to analyze the effect of different times and places of incursion events on the scheduling scheme, which can verify the correctness of the model. Results show that higher runway incursion times lead to longer queue lengths for take-off and landing flights, resulting in more flight delays.
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spelling doaj.art-37080803cd0143e5b5aa5c79de95dd732022-12-21T19:23:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-08-011856724673810.3934/mbe.2021334Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion timeBo Sun0Ming Wei 1Binbin Jing21. Key Laboratory of wide area surveillance and safety control technology of civil aviation flight, Civil Aviation University of China, Tianjin 300300, China 2. School of Air traffic Management, Civil Aviation University of China, Tianjin 300300, China1. Key Laboratory of wide area surveillance and safety control technology of civil aviation flight, Civil Aviation University of China, Tianjin 300300, China 2. School of Air traffic Management, Civil Aviation University of China, Tianjin 300300, China3. School of Transportation and Civil Engineering, Nantong University, Nantong 226000, ChinaThis paper presents an optimization model for assigning a set of arrival and departure flights to multiple runways and determining their actual times with consideration of incursions. Due to the lack of data, fuzzy incursion time is used to describe the uncertainty with the help of artificial experience. Moreover, the multiple-goal priority considerations of air traffic controllers are also fully considered in this model. The two objectives are to simultaneously minimize delays in arrival and departure flights. Since this problem is NP-hard, a novel polynomial algorithm based on queuing theory is also proposed to obtain acceptable solutions efficiently. Finally, a real-world example is provided to analyze the effect of different times and places of incursion events on the scheduling scheme, which can verify the correctness of the model. Results show that higher runway incursion times lead to longer queue lengths for take-off and landing flights, resulting in more flight delays.https://www.aimspress.com/article/doi/10.3934/mbe.2021334?viewType=HTMLarrival and departure flight schedulingmultiple runwaysfuzzy runway incursion timeheuristic algorithm
spellingShingle Bo Sun
Ming Wei
Binbin Jing
Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
Mathematical Biosciences and Engineering
arrival and departure flight scheduling
multiple runways
fuzzy runway incursion time
heuristic algorithm
title Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
title_full Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
title_fullStr Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
title_full_unstemmed Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
title_short Optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
title_sort optimal model for the aircraft arrival and departure scheduling problem with fuzzy runway incursion time
topic arrival and departure flight scheduling
multiple runways
fuzzy runway incursion time
heuristic algorithm
url https://www.aimspress.com/article/doi/10.3934/mbe.2021334?viewType=HTML
work_keys_str_mv AT bosun optimalmodelfortheaircraftarrivalanddepartureschedulingproblemwithfuzzyrunwayincursiontime
AT mingwei optimalmodelfortheaircraftarrivalanddepartureschedulingproblemwithfuzzyrunwayincursiontime
AT binbinjing optimalmodelfortheaircraftarrivalanddepartureschedulingproblemwithfuzzyrunwayincursiontime