This scientific study provides an in-depth analysis of the factors influencing the management efficiency of free economic zones (FEZs) in the Republic of Uzbekistan, assessing their contribution to socio-economic development using mathematical modeling. Using the Jizzakh Free Economic Zone as a case study, the research identifies key factors affecting production volume from 2015 to 2024 — namely, foreign investment and employment levels. The study employs the Cobb-Douglas production function to construct a classical linear regression model, along with an autoregressive (AR) model, correlation-regression analysis, and evaluation through Fisher’s criterion, Student’s t-test, and the Durbin-Watson statistic.

The analysis of factors influencing the investment attractiveness of the regions of the Republic of Uzbekistan includes the study of economic, social, and infrastructure indicators. Among the key factors are the availability of developed infrastructure, access to resources, government support, and the level of urbanization. The development of special economic zones (SEZ) and the improvement of the business climate also play an important role in enhancing the regions' attractiveness for investors. The study helps identify the strengths and weaknesses of the regions, which contributes to the development of effective strategies for attracting investments and stimulating economic growth in Uzbekistan.

The creation of interactive geoinformation maps in investment processes has been effectively utilized in foreign practices, serving to provide open access to important information for investors. Egypt's industrial investment map is a good example, offering real-time data on infrastructure, resources, and industrial zones to investors. This approach helps in making efficient investment decisions and supports economic growth. Uzbekistan can also adopt this method to enhance its attractiveness for investment.