Development of universal model for optimizing parking spaces in complex geometric configurations
DOI:
https://doi.org/10.15587/2706-5448.2026.353063Keywords:
Shoelace formula, polygon area, computational geometry, capacity increase, efficiency coefficient, urban parkingAbstract
The object of research is the process of designing and optimizing parking areas in complex geometric configurations in conditions of dense development.
The main problem is to solve the use of areas of complex geometric configuration for parking areas. In addition, there are currently no universal models and methods for the corresponding calculation and optimization.
The result of the work was the receipt of a universal mathematical model with which it is possible to determine the number of parking spaces based on the geometric dimensions and area of the plot. A special feature is the possibility of calculating for complex geometric configurations (polygons). For this, the Gauss formula and the JavaScript programming language are used. The initial data are geodetic measurements, and the error in such a calculation is less than 2%.
The development of JavaScript code based on the shoelace formula was practical importance. The experimental object was the residential area “Vyshenka” in Vinnytsia (Ukraine). The selected plot has an area of 1350 m2 with an initial number of parking spaces before optimization –50, after –59. In general, the efficiency of using the area increased from 70% to 88%. In addition, a 22% reduction in accidents is noted, which indicates the significant effectiveness of the model and minimal calculation error.
A feature of the proposed solution is also that not only linear dimensions are taken into account, but also the relief, infrastructure facilities and the initial shape of the site. There is also the possibility of integration into web applications and CAD programs for simultaneous planning and construction, which allows for an increase in the number of parking spaces of up to 20% without expanding the territories.
The results of the modeling can be used by engineers and builders to improve the landscaping of residential areas where there is no possibility for expanding the territories, programmers – by integrating the model into web applications and business.
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Copyright (c) 2026 Mykola Mytko, Serhii Burlaka, Oleh Antonuk, Alenа Bondar, Dmytro Datsiuk
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