GRAPH MODELS IN CALCULATING TIME CHARACTERISTICS AND CRITICAL PATH

Abstract

This paper examines graph models used for scheduling a set of interrelated tasks. The focus is on methods for calculating the time characteristics of activities, such as early and late start and finish dates, and determining the critical path of a project - the sequence of activities that determines the minimum duration for completing all work. The construction of a network graph reflecting the logical structure of the project and algorithms for analyzing time parameters based on it are considered. The role of computer technologies in automating calculations and visualizing network models is also emphasized, which contributes to more efficient project and resource management. The work may be useful for students, project management specialists and those interested in methods of planning and optimizing work processes.