Aircraft fleet optimization by the simplex method

The transport system efficiency and the quality of its operation is organically connected with the improvement of air transportation technical means on the basis of modern science and technology. One of the directions of further aviation transport system development is the creation of methodological...

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Main Authors: Bieliatynskyi Andrii, Volkovska Hanna, Akmaldinova Victoria, Steniakin Ivan
Format: Article
Language:English
Published: EDP Sciences 2024-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_08019.pdf
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author Bieliatynskyi Andrii
Volkovska Hanna
Akmaldinova Victoria
Steniakin Ivan
author_facet Bieliatynskyi Andrii
Volkovska Hanna
Akmaldinova Victoria
Steniakin Ivan
author_sort Bieliatynskyi Andrii
collection DOAJ
description The transport system efficiency and the quality of its operation is organically connected with the improvement of air transportation technical means on the basis of modern science and technology. One of the directions of further aviation transport system development is the creation of methodological basis for optimal aircraft operation. Therefore, the increase in aircraft efficiency is one of the important tasks, as its improvement is associated with savings in material and financial resources, which affects the fleet structure and the process of passenger traffic. The article is intended to substantiate the method of optimizing the use of airline aircraft by means of mathematical apparatus. It has been found that the mathematical model structure is required to form an optimal aircraft fleet. A variant of aircraft fleet formation has been proposed taking into account the mathematical model, built on the basis of linear programming, namely, using the simplex method. It has been determined that the choice of optimal aircraft options is greatly influenced by the value of the parametric series. To obtain a reliable result, the aircraft loading must be 100%, otherwise the error grows due to coefficients at unknown target function. The proposed method of determining the optimal fleet with different types of aircraft and air traffic routes, taking into account the conditions of their usage, allows to recommend airlines to use aircraft with the highest efficiency.
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spelling doaj.art-e4383170507140168384db3bb205ffdc2024-04-12T07:40:19ZengEDP SciencesE3S Web of Conferences2267-12422024-01-015080801910.1051/e3sconf/202450808019e3sconf_greenenergy2024_08019Aircraft fleet optimization by the simplex methodBieliatynskyi Andrii0Volkovska Hanna1Akmaldinova Victoria2Steniakin Ivan3School of Civil Engineering, North Minzu UniversityNational Aviation University, Aviation Works and Services Management Department, Faculty of Transport, Management and LogisticsNational Aviation University, Aviation Works and Services Management Department, Faculty of Transport, Management and LogisticsNational Aviation University, Air Transportation Management Department, Faculty of Transport, Management and LogisticsThe transport system efficiency and the quality of its operation is organically connected with the improvement of air transportation technical means on the basis of modern science and technology. One of the directions of further aviation transport system development is the creation of methodological basis for optimal aircraft operation. Therefore, the increase in aircraft efficiency is one of the important tasks, as its improvement is associated with savings in material and financial resources, which affects the fleet structure and the process of passenger traffic. The article is intended to substantiate the method of optimizing the use of airline aircraft by means of mathematical apparatus. It has been found that the mathematical model structure is required to form an optimal aircraft fleet. A variant of aircraft fleet formation has been proposed taking into account the mathematical model, built on the basis of linear programming, namely, using the simplex method. It has been determined that the choice of optimal aircraft options is greatly influenced by the value of the parametric series. To obtain a reliable result, the aircraft loading must be 100%, otherwise the error grows due to coefficients at unknown target function. The proposed method of determining the optimal fleet with different types of aircraft and air traffic routes, taking into account the conditions of their usage, allows to recommend airlines to use aircraft with the highest efficiency.https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_08019.pdf
spellingShingle Bieliatynskyi Andrii
Volkovska Hanna
Akmaldinova Victoria
Steniakin Ivan
Aircraft fleet optimization by the simplex method
E3S Web of Conferences
title Aircraft fleet optimization by the simplex method
title_full Aircraft fleet optimization by the simplex method
title_fullStr Aircraft fleet optimization by the simplex method
title_full_unstemmed Aircraft fleet optimization by the simplex method
title_short Aircraft fleet optimization by the simplex method
title_sort aircraft fleet optimization by the simplex method
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_08019.pdf
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AT volkovskahanna aircraftfleetoptimizationbythesimplexmethod
AT akmaldinovavictoria aircraftfleetoptimizationbythesimplexmethod
AT steniakinivan aircraftfleetoptimizationbythesimplexmethod