STABILIZATION MATHEMATICAL MODEL FOR ESTIMATING THE BUDGET OF SOFTWARE PROJECT DEVELOPMENT

Abstract

One of the common problems in the implementation of IT projects is budget overspending due to inefficient resource planning and the lack of flexible tools for operational cost adjustments. At the same time, most existing budgeting models are not adapted to the needs of small dynamic projects that require a simple and understandable decision-making mecha- nism during project implementation. Taken together, these factors create a pressing need to develop a new IT product that will optimize sales processes, simplify administration, ensure integration with logistics and payment systems, and provide convenient tools for financial control and analytics. The paper presents a mathematical model for calculating the cost of developing an IT project for a marketplace for the sale of goods. The model involves managing the cost of developing a project in the event of a change in the cost of individual resources involved in its development. In the event of such changes at a certain stage of project development, funds redistributed between the remaining resources in order to return the cost of project development to the planned one. The paper uses the idea of using proportional coefficients to optimize the distribution of costs between resources, which ensures the flexibility and adaptability of the mathematical model in the event of dynamic changes in the cost of resources used in the development of the project. The mathematical model presented in the paper allows for better con- sideration of resource constraints and optimization of solutions in complex conditions. Applying a flexible approach to project costs at the final stage allows for the transition from static budgets to an adaptive management model. The real-location of resources ensures the rational completion of the project within the budget and contributes to the achievement of business value through the economical use of resources. The model's operation is demonstrated on the example of managing the cost of developing a specific IT project, while starting from a certain step of its implementation, the cost of individual resources involved in the implementation of this project changes. Before the next stage of project implementation, a proportional redistribution of the remaining budget funds is carried out between the resources that will still be involved before the completion of the project. With this redistribution, the project cost returns to the planned one.