If your running within 10% or so of contract speed, and your leveling times are not excessive theres nothing wrong. Basically your floor to floor times are what they are. I always shoot for never more than 4-5 seconds of stabilized leveling, 2 seconds being ideal. You can speed your doors up, but like elmcannic said, that comes at a price of reduced life cycle of your equipment. You can make sure your acceleration adjustments are quick, no long take off. Or you can look into a new faster elevator.
I would recommend downloading Kleemans Lift Tester App on an iPhone, it's free and very accurate. Use it to determine if your contract speed is what the elevator runs at full speed. I have tested that app on some 500 fpm cars and it's within 1-2 fpm.
I had a customer complain one time and said my elevator is supposed to be this speed, and these two floors are this far apart and the math says it should be x seconds but it's taking 10 seconds longer, it's not going fast enough. I had to explain acceleration, deceleration, leveling time..