A value for PERT problems

Resumo

The PERT (Program Evaluation Review Technique) is a operational research tool used to schedule and coordinate activities in a complex project.We present two values for measuring the importance of each activity. Both values are obtained through an axiomatic characterization using three properties. The first value is characterized with separability, monotonicity, and order preservation. The second value is characterized with separability, equal treatment inside a component, and independence of large durations. We also present an application to the problem of how to share the surplus obtained when a project finishes before the expected completion time.