"S" curves for monitoring project progress

This paper describes a mathematical model used to build type "S" accumulated progress curves with normal distribution. The model applies a curve with the shape of a normal distribution of probabilities, involving conditions that force the accumulated curve to pass by fixed points. 10T/5P curves (at 10% of time, 5% progress is reached) have been built for large multidisciplinary projects and for linear projects (in which at 50% of time, approximately 50% progress is reached) with duration times between 10 and 52 units or periods, where the fixed points have been established at 0T/0P, 10T/5P and 100T/100P. The term "progress" is used in its most general definition, considering that the tables and curves built are generic and can be used for physical progress, economic progress, requests for payment, etc. The development of this curve arose from the need to have a tool for comparing progress. Since no curve with estimated progress was available, the use of a theoretical curve was considered.