On one particular type (Lockheed L1011-500) rolling takeoffs are NORMALLY to be performed, provided the runway length is not limiting.
max thrust until brake release takeoffs are required on this type, the number two engine is not to be set to takeoff thrust until the takeoff roll has commenced, if the crosswind component exceeds 10 knots.
This is due to engine surging issues.
In this case, the number two throttle is advanced slowly to takeoff EPR, and must be set to the required EPR prior to eighty knots.
Takeoff weight/runway limit/obsticle limit charts all take this into account.
In addition, rolling takeoffs are MANDATORY on this type, if the takeoff weight is less than 290,000 pounds.
This is due to the tendancy of this particular aircraft to 'nose up' at high takeoff power settings, with no forward motion.
Takeoff charts are also amended to allow for this, with the short body TriStar.