The shape of the S-curve in resource utilization of project management is well
established for its persistence. Adrian Bejan (a mechanical engineering professor
at Duke University), has extended the applicability of S-curve as a logistic
function to the spread of ideas, technology etc. I am thinking that because of
its wide utility, this function and the shape it represents, can also show the evolving
boundary of the dynamic of teaming
process in a project. PM BOK, does not list S-curve as a subject index or as a
key word though it references the term on p. 213-214, in its treatment of cost
management plan, as cost aggregation.
The
mathematical idea of S-curve is credited to Pierre Verhulst (1804-1849) who was
mainly interested in the study of growth of the population of Belgium, and
based on later analyses, he was very close to the actual evolution of that
population. Today, that function is typically referred to as logistic function
(with sigmoid function being a special case).
Ali