On paper CPA works best with fixed times for each activity and a fixed sequence of activities, this may encourage managers to see these timings and this sequence as unchangeable, so they may miss opportunities to reduce overall time
Complex activities may be difficult to represent accurately on a network diagram
CPA relies on estimates of the expected durations of activities
If estimates are inaccurate the whole process may break down
As major projects are often 'one-offs', it is possible the business has no experience in this field, consequently the probability of producing an accurate forecast of timings is low
CPA encourages businesses to focus on the speed of a project, rather than other elements such as quality and flexibility to meet customer's needs