Study on track planning problem of multi-constrained and double-targeted

Abstract Aiming at the positioning error of the aircraft, the error accumulation to a certain extent may lead to the failure of the mission. A track correction method based on oriented graph search was proposed, and the dynamic programming idea was applied to solve the path optimization problem. Fir...

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Main Authors: Yi Nie, Xiangjun Xie, Xianfeng Ding, Qianyu Zhang, Jingyu Zhou
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13362-020-00089-x
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author Yi Nie
Xiangjun Xie
Xianfeng Ding
Qianyu Zhang
Jingyu Zhou
author_facet Yi Nie
Xiangjun Xie
Xianfeng Ding
Qianyu Zhang
Jingyu Zhou
author_sort Yi Nie
collection DOAJ
description Abstract Aiming at the positioning error of the aircraft, the error accumulation to a certain extent may lead to the failure of the mission. A track correction method based on oriented graph search was proposed, and the dynamic programming idea was applied to solve the path optimization problem. Firstly, the correction points in the flight space were preprocessed, and the planning of the correction points in the flight space was transformed into a graph theory problem. It effectively solves the problem that traditional methods did not adapt well to dynamic changes in flight space. And the problem of too high complexity in the calculation space. Using the dynamic programming idea to carry out the flight path planning for the flight space, the path-correction number optimal double-objective model is comprehensively established. Finally, the oriented graph and dynamic programming ideas were used to solve the problem, and the visual analysis of the aircraft track was realized. The simulation results show that the established path-corrected optimal double-objective model can calculate an optimal track with relatively small correction times and short length.
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spelling doaj.art-d5f9af731ee34cc2843b5f5d7a2d78532022-12-21T17:14:52ZengSpringerOpenJournal of Mathematics in Industry2190-59832020-07-0110111110.1186/s13362-020-00089-xStudy on track planning problem of multi-constrained and double-targetedYi Nie0Xiangjun Xie1Xianfeng Ding2Qianyu Zhang3Jingyu Zhou4School of Science, Southwest Petroleum UniversitySchool of Science, Southwest Petroleum UniversitySchool of Science, Southwest Petroleum UniversitySchool of Computer Science, Southwest Petroleum UniversitySchool of Computer Science, Southwest Petroleum UniversityAbstract Aiming at the positioning error of the aircraft, the error accumulation to a certain extent may lead to the failure of the mission. A track correction method based on oriented graph search was proposed, and the dynamic programming idea was applied to solve the path optimization problem. Firstly, the correction points in the flight space were preprocessed, and the planning of the correction points in the flight space was transformed into a graph theory problem. It effectively solves the problem that traditional methods did not adapt well to dynamic changes in flight space. And the problem of too high complexity in the calculation space. Using the dynamic programming idea to carry out the flight path planning for the flight space, the path-correction number optimal double-objective model is comprehensively established. Finally, the oriented graph and dynamic programming ideas were used to solve the problem, and the visual analysis of the aircraft track was realized. The simulation results show that the established path-corrected optimal double-objective model can calculate an optimal track with relatively small correction times and short length.http://link.springer.com/article/10.1186/s13362-020-00089-xOriented graphDynamic programmingRouteTrack planning
spellingShingle Yi Nie
Xiangjun Xie
Xianfeng Ding
Qianyu Zhang
Jingyu Zhou
Study on track planning problem of multi-constrained and double-targeted
Journal of Mathematics in Industry
Oriented graph
Dynamic programming
Route
Track planning
title Study on track planning problem of multi-constrained and double-targeted
title_full Study on track planning problem of multi-constrained and double-targeted
title_fullStr Study on track planning problem of multi-constrained and double-targeted
title_full_unstemmed Study on track planning problem of multi-constrained and double-targeted
title_short Study on track planning problem of multi-constrained and double-targeted
title_sort study on track planning problem of multi constrained and double targeted
topic Oriented graph
Dynamic programming
Route
Track planning
url http://link.springer.com/article/10.1186/s13362-020-00089-x
work_keys_str_mv AT yinie studyontrackplanningproblemofmulticonstrainedanddoubletargeted
AT xiangjunxie studyontrackplanningproblemofmulticonstrainedanddoubletargeted
AT xianfengding studyontrackplanningproblemofmulticonstrainedanddoubletargeted
AT qianyuzhang studyontrackplanningproblemofmulticonstrainedanddoubletargeted
AT jingyuzhou studyontrackplanningproblemofmulticonstrainedanddoubletargeted