PIECEWISE LINEAR REGRESSION MODEL OF ROAD CONSTRUCTION
The paper presents a piecewise linear model of road construction in the Russian Federation based on statistical information for 2005-2020. At the same time, the dependent variable of the model is the length of highways, and the independent ones are the gross domestic product, the volume of extraction of non-metallic building materials, the population, and the volume of investments in road transport infrastructure. The model parameters are estimated by solving the linear Boolean programming problem. Analysis of the switching vector of the model allows us to conclude that if in the first nine years of the period under review, from 2005 to 2013, the growth of road construction in Russia was restrained by the general economic opportunities of the country, then in the last three years, from 2018 to 2020 (as well as in 2015). The volume of investments in the road transport infrastructure limited this growth, which was subject to a significant increase.
piecewise linear regression model, road construction, linear Boolean programming problem, switching vector.
Received: March 22, 2023; Revised: April 23, 2023; Accepted: May 11, 2023; Published: May 22, 2023
How to cite this article: S. I. Noskov and A. S. Vergasov, Piecewise linear regression model of road construction, Advances and Applications in Discrete Mathematics 39(1) (2023), 117-124. http://dx.doi.org/10.17654/0974165823040
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