Abstract:

On the basis of defining local critical activity, critical activity, critical path and activity criticality of the program evaluation and review technique (PERT) networks, the analysis methods of critical path and critical activity are put forward. According to the extent of influence on the planned project duration caused by the activity uncertainty, namely, the activity sensitivity index, the importance of each activity in project control is analyzed. After defining the activity relative sensitivity and activity sensitivity, by using the total probability theorem, the calculation formula of activity sensitivity index is created to further put forward the analysis method of the most critical activity. Example analysis shows that the critical path and the most critical activity in PERT networks can be easily identified with the proposed methods.