Abstract
The paper presents a Markov model of the basic scheme of interaction between project participants. A Markov chain has been identified to describe a specific project, based on the determination of a set of transition probabilities unique for each project. This allows you to customize the Markov chain to reflect the properties of a particular project. Using the developed Markov model, the sensitivity of the system to a change in one of the main parameters, the level of competence of the project manager and the project team as a whole, was assessed. The mathematical description of the project model by Markov chains allows modeling the quantitative parameters of projects, namely, changes in the probabilities of system states depending on the number of project steps.