PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY
Background. The paper deals with the problem of modeling the transportation of passengers by rail, depending on the indicators characterizing the results of the functioning of the tourism industry. Materials and methods. To achieve the goal of modeling, a piecewise linear regression model with a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penza State University Publishing House
2022-04-01
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| Series: | Модели, системы, сети в экономике, технике, природе и обществе |
| Subjects: |
| _version_ | 1818005884024913920 |
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| author | S.I. Noskov A.A. Khonyakov |
| author_facet | S.I. Noskov A.A. Khonyakov |
| author_sort | S.I. Noskov |
| collection | DOAJ |
| description | Background. The paper deals with the problem of modeling the transportation
of passengers by rail, depending on the indicators characterizing the results of the functioning
of the tourism industry. Materials and methods. To achieve the goal of modeling, a
piecewise linear regression model with a minimum on the right side, also called the Leontief
function, was applied. To improve the quality of approximation of the models, the
method of transforming regressors was applied. The assessment of the adequacy of the obtained models was carried out by calculating the average relative error of approximation
and the vector of operations. The initial data for modeling are obtained from official statistics
showcases. Results. As a result of modeling, piecewise-linear models of passenger
transportation by rail were obtained for the Russian Federation as a whole and for the federal
districts. Conclusions. The obtained models are highly adequate and make it possible to
identify the relationship between the performance indicators of the tourism industry and the
volume of passenger transportation by railway. |
| first_indexed | 2024-04-14T04:51:27Z |
| format | Article |
| id | doaj.art-c8c8c9977008465aa432888cb680a6ae |
| institution | Directory Open Access Journal |
| issn | 2227-8486 |
| language | English |
| last_indexed | 2024-04-14T04:51:27Z |
| publishDate | 2022-04-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Модели, системы, сети в экономике, технике, природе и обществе |
| spelling | doaj.art-c8c8c9977008465aa432888cb680a6ae2022-12-22T02:11:16ZengPenza State University Publishing HouseМодели, системы, сети в экономике, технике, природе и обществе2227-84862022-04-01410.21685/2227-8486-2021-4-7PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAYS.I. Noskov0A.A. Khonyakov1Irkutsk State Transport UniversityIrkutsk State Transport UniversityBackground. The paper deals with the problem of modeling the transportation of passengers by rail, depending on the indicators characterizing the results of the functioning of the tourism industry. Materials and methods. To achieve the goal of modeling, a piecewise linear regression model with a minimum on the right side, also called the Leontief function, was applied. To improve the quality of approximation of the models, the method of transforming regressors was applied. The assessment of the adequacy of the obtained models was carried out by calculating the average relative error of approximation and the vector of operations. The initial data for modeling are obtained from official statistics showcases. Results. As a result of modeling, piecewise-linear models of passenger transportation by rail were obtained for the Russian Federation as a whole and for the federal districts. Conclusions. The obtained models are highly adequate and make it possible to identify the relationship between the performance indicators of the tourism industry and the volume of passenger transportation by railway.piecewise linear regressionregressor transformationboolean partial boolean linear programming problemrailway transportpassenger transportation |
| spellingShingle | S.I. Noskov A.A. Khonyakov PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY Модели, системы, сети в экономике, технике, природе и обществе piecewise linear regression regressor transformation boolean partial boolean linear programming problem railway transport passenger transportation |
| title | PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY |
| title_full | PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY |
| title_fullStr | PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY |
| title_full_unstemmed | PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY |
| title_short | PIECEWISE LINEAR REGRESSION MODELS OF PASSENGER TRANSPORTATION VOLUMES BY RAILWAY |
| title_sort | piecewise linear regression models of passenger transportation volumes by railway |
| topic | piecewise linear regression regressor transformation boolean partial boolean linear programming problem railway transport passenger transportation |
| work_keys_str_mv | AT sinoskov piecewiselinearregressionmodelsofpassengertransportationvolumesbyrailway AT aakhonyakov piecewiselinearregressionmodelsofpassengertransportationvolumesbyrailway |