Every project management course teaches fast tracking vs crashing in the same order and with the same moral: if the date is at risk, fast track first, because overlapping tasks costs nothing but risk, and crash second, because crashing costs money. I have repeated that advice myself. Then I put both through a solver on the same plan and got the opposite of what the order implies.
Fast tracking pulled eight working days off the schedule and one day off the job. Crashing pulled six off the schedule and eleven off the job. Same 21-task renovation, same solver, same afternoon.





