Optimal balanced chain decomposition of partially ordered sets with applications to operating cost minimization in aircraft routing problems

Radislav Vaisman () and Ilya B. Gertsbakh ()
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Radislav Vaisman: The University of Queensland
Ilya B. Gertsbakh: Ben-Gurion University

Public Transport, 2023, vol. 15, issue 1, No 7, 199-225

Abstract: Abstract We consider the task of constructing a cost-effective daily flight schedule with a minimum number of required aircrafts and a maximum number of balanced flight routes, namely, routes with the same start and end spatial location. We suggest a solution strategy which is able to determine the problem’s hardness by estimating the number of all flight plans with a minimum number of required aircrafts. Provided that this number is not too large, the same algorithm is utilized for fully enumerating and detecting the set of solutions that have the maximum number of balanced routes. Our experimental study implies that the method is both effective and scalable in practice. For example, when applied to the Australian domestic flights timetable which is serviced by a total of eighty-eight aircrafts, our method manages to increase the number of balanced flight routes from nine to forty-two, while using only several minutes of computational time.

Keywords: Optimal flight scheduling; deadheading flights; approximate counting; optimization; heuristic (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s12469-022-00304-5

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