MATHEMATICAL MODEL FOR DETERMINING THE INDEX OF FINANCIAL BENEFITS FOR HIGH-MOUNTAIN, HARD-TO-REACH AND BORDER SETTLEMENTS

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The article presents a mathematical model designed to calculate the index of financial benefits for settlements nestled in utopian high mountainous regions, characterized by their near-inaccessibility and proximity to state borders. Unlike existing methodologies that solely rely on hypsometric indicators, this model introduces a novel approach by incorporating the multiplication of individual Complex Coefficients. By elucidating the limitations of current quantitative methodologies, particularly their reliance on qualitative factors, the article underscores the necessity for a more objective assessment of the problem.

Central to this model are three key complexity indicators: Height above sea level, Distance from central transport routes, and Proximity to the state border. The article delineates the research avenues pursued to ascertain these complexity coefficients, accompanied by tables presenting magnitudes derived from logical conclusions. This comprehensive framework not only enhances the accuracy of financial benefit assessments but also provides a standardized methodology for evaluating settlements in challenging geographical contexts.

Furthermore, the innovative approach illustrated in this article holds promise for informing policy decisions and strategic planning in regions characterized by geographical complexities. By elucidating the intricate interplay between geographical features and financial viability, the article offers valuable insights into optimizing resource allocation and fostering sustainable development in remote and borderland communities.