Assessing the Development Level of Regional Logistic Systems Based on an Improved Entropy Weight Method
Behei B. V.

Behei, Bohdan V. (2025) “Assessing the Development Level of Regional Logistic Systems Based on an Improved Entropy Weight Method.” The Problems of Economy 3:299–311.
https://doi.org/10.32983/2222-0712-2025-3-299-311

Section: Mathematical methods and models in economy

UDC 332.1+656

Abstract:
The aim of this article is to construct and carry out an integrated evaluation of a system of indicators for regional logistic systems using an improved entropy weight method. Promoting the development of regional logistic systems is crucial for reducing logistic costs in the real economy and enhancing the endogenous component of economic development. This article establishes an evaluation system consisting of 17 indicators organized into four dimensions: result scale, operational quality, social contribution, and green development. The system reflects both the scale and efficiency of the logistic sector and its environmental impact during development. Additionally, it captures changes within the logistic sector itself as well as its contributions to other industries and to people’s livelihoods. An improved entropy-weight method and kernel density estimation were applied to assess the development level of regional logistic systems, in order to determine their spatial and temporal distribution, dynamic evolution, and regional differences. The key advantage of the improved entropy-weight system is that it utilizes indicator information in both spatial and temporal dimensions, using a global reference area, which allows for both vertical and horizontal comparisons of evaluation results. The comprehensive analysis of the characteristics of regional logistic systems in terms of spatial and temporal evolution showed that the level of regional logistic systems changed with an average annual growth rate of -0.04% between 2002 and 2024, though with significant regional and inter-provincial differences. From 2002 to 2024, based on the average annual growth rates of regional logistic systems, only the central, western, and northern regions achieved effective growth. In other words, regional logistic systems across the country and in the five main regions were bipolar or multipolar, with characteristic gradient features. To analyze the dynamics of the distribution of regional logistic systems and to clearly depict the evolutionary model of regional logistic system levels, the kernel density estimation – a nonparametric method capable of describing the distribution of a random variable in terms of a continuous density curve was used. The study revealed that, due to the full-scale military invasion, the gap between logistic systems in different regions gradually widened, showing a gradual reduction in the differentiation feature of «east–center–west».

Keywords: regional logistic system, scale of the result, quality of operation, social contribution, green development, improved entropy weight method, kernel density estimation.

Fig.: 4. Tabl.: 1. Formulae: 8. Bibl.: 18.

Behei Bohdan V. – Postgraduate Student, Department of Economic Cybernetics, Vasyl Stefanyk Carpathian National University (57 Shevchenka Str., Ivano-Frankіvsk, 76018, Ukraine)
Email: lesia.dmytryshyn@pnu.edu.ua

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