Abstract
Many scientists have worked on the mathematical definition of the S-curve, including mathematicians, statisticians, economists and engineers. The cash flow or S-curve defines costs and revenues in a planned way using a cumulative curve that simulates the existence of the project. There is always a deviation in various process activities and the consequences are financial, which puts the project stakeholders in a difficult position as it usually involves large investments. Therefore, the case of financial flow forecasting is determined by the modification of the Gaussian S-curve (MGSC) through scientific project management, which is very useful for all participants in the production process. The MGSC solves the problem of defining the initial state of the project in terms of the duration and cost interval of the project. However, there is the problem that the duration end and the project costs increase or decrease differently during the realisation of the project, which is defined by different process activities. Simplified assumptions within the process activities and the risk method complement the differentiated development of the process and create a dynamic simulation of the project, that is daily project management. This enables timely regulation of the execution system, that is the management of process projects.