Another couple of important considerations are:
Fuel delivery pressure and fuel vapor pressure - usually it's the latter that dictates when the engine is going to cough and give up on you and conversely when it's likely to start again.
We did some interesting work a couple of months back to try and get some MMEL relief for dispatch with a boost pump inoperative. The FVP got a bit too low and the engine surged and died on us several thousand feet below the predicted altitude.
