The article analyzes traditional and flexible project management methodologies, their key features, advantages and limitations. Traditional methodologies such as the waterfall model and the critical path method rely on sequential planning that is suitable for projects with fixed requirements. Agile methodologies (Agile, Scrum) are highly adaptable, which is important for projects with frequent changes. The authors compare the conditions of application of both approaches and describe the criteria for choosing a methodology depending on the type and dynamics of the project. The article will be useful for both practitioners and researchers in the field of project management.

Keywords: project management, project management methodology, cascade model, critical path method, program evaluation and review technique, agile software development, critical path method