arrow
Return

Optimization of flight routes: quantum approximate optimization algorithm for the tail assignment problem

delete2026-04-27
delete0
PRE
AI
M
Marta Gili *
P
Paul San Sebastian
A
Ane Blázquez-García
DOI:10.1007/s42484-026-00387-4delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The Tail Assignment Problem (TAP) is a critical optimization challenge in airline operations, requiring the optimal assignment of aircraft to scheduled flights to maximize efficiency and minimize costs. This work investigates the application of the Quantum Approximate Optimization Algorithm (QAOA) to the TAP, incorporating route costs. A detailed problem formulation is presented, and QAOA is evaluated through numerical simulations on representative instances to assess its ability to identify optimal solutions. The results show that QAOA can solve small instances correctly, with performance improving as circuit depth increases, and that route-graph connectivity has a notable impact on the algorithm’s behavior. QAOA is further compared with classical approaches, including brute force and branch-and-price, as well as with Quantum Annealing (QA).
Keywords:
Tail assignment problem
QAOA
Quantum computing
Optimization

Journal

Q
Quantum Machine Intelligence
IF:
4.4
Papers:
445
Citations:
796

Organization

I
Ikerlan
Scholars:
3
Papers: 1
Citations: 0
Cited Papers

Cited Papers

Error Mitigation for Short-Depth Quantum Circuits
err2017-11-03
err0
errOAAI
errKristan Temme; Sergey Bravyi; Jay M. Gambetta
errShare
errSave
Barren plateaus in quantum neural network training landscapes
err2018-11-16
err1.1K
errOAAI
errMcClean, Jarrod R.; Boixo, Sergio; Smelyanskiy, Vadim N.; Babbush, Ryan; Neven, Hartmut
errShare
errSave
A feasibility-preserved quantum approximate solver for the Capacitated Vehicle Routing Problem
err2024-07-29
err0
errOAAI
errNingyi Xie; Xinwei Lee; Dongsheng Cai; Yoshiyuki Saito; Nobuyoshi Asai; Hoong Chuin Lau
errShare
errSave
Benchmarking the quantum approximate optimization algorithm
err2020-06-02
err0
errOAAI
errMadita Willsch; Dennis Willsch; Fengping Jin; Hans De Raedt; Kristel Michielsen
errShare
errSave
Applying the Quantum Approximate Optimization Algorithm to the Tail-Assignment Problem
err2020-09-03
err54
errOAAI
errVikstal, Pontus; Gronkvist, Mattias; Svensson, Marika; Andersson, Martin; Johansson, Goran; Ferrini, Giulia
errShare
errSave
Hybrid Quantum-Classical Heuristic to Solve Large-Scale Integer Linear Programs
err2023-09-26
err2
errOAAI
errSvensson, Marika; Andersson, Martin; Gronkvist, Mattias; Vikstal, Pontus; Dubhashi, Devdatt; Ferrini, Giulia; Johansson, Goran
errShare
errSave
Quantum Computing in the NISQ era and beyond
errQUANTUM
IF5.4
err2018-08-06
err4.9K
errOAAI
errPreskill, John
errShare
errSave
Evidence of scaling advantage for the quantum approximate optimization algorithm on a classically intractable problem
err2024-05-31
err8
errOAAI
errShaydulin, Ruslan; Li, Changhao; Chakrabarti, Shouvanik; Decross, Matthew; Herman, Dylan; Kumar, Niraj; Larson, Jeffrey; Lykov, Danylo; Minssen, Pierre; Sun, Yue; Alexeev, Yuri; Dreiling, Joan M.; Gaebler, John P.; Gatterman, Thomas M.; Gerber, Justin A.; Gilmore, Kevin; Gresh, Dan; Hewitt, Nathan; Horst, Chandler V.; Hu, Shaohan; Johansen, Jacob; Matheny, Mitchell; Mengle, Tanner; Mills, Michael; Moses, Steven A.; Neyenhuis, Brian; Siegfried, Peter; Yalovetzky, Romina; Pistoia, Marco
errShare
errSave
Solving Vehicle Routing Problem Using Quantum Approximate Optimization Algorithm
err2023-07-01
err36
errOAAI
errAzad, Utkarsh; Behera, Bikash K.; Ahmed, Emad A.; Panigrahi, Prasanta K.; Farouk, Ahmed
errShare
errSave
Integrated Aircraft Routing, Crew Pairing, and Tail Assignment: Branch-and-Price with Many Pricing Problems
err2017-02-01
err28
PREAI
errRuther, Sebastian; Boland, Natashia; Engineer, Faramroze G.; Evans, Ian
errShare
errSave
researcher View more