Critical path analysis is proposed as a framework for problems of scie
ntific productivity. Scientific productions are critical path problems
because a single failed step in a project is sufficient to ruin an ex
periment or keep a paper from being published. For critical path proce
sses, the probability of failure is a power function of the number of
steps. Thus, project success is nonlinearly related to both the skill
level and the number of sequential or critical path steps. A queuing m
odel simulation of scientific production is presented. Results for sho
rt and long productions are shown to match documented lifetime publica
tion rates of the most prolific (high skill level) and of average scie
ntists (lower skill level). In this model creativity may decrease prod
uctivity by shifting the focus to more time consuming problems, increa
se productivity if the creativity resolves bottlenecks or eliminates p
roblem steps, or have no effect if technique (e.g., observational skil
l) dominates the project's time budget. Sociological factors affecting
productivity can also be integrated into the model. The model has the
advantage that it can be tested against scientific diaries and by con
structing time budgets and failure analyses of ongoing projects.