This study develops two integrated inventory models to determine the optimal production and shipment policy under conditions of controllable lead time, learning effect, and deteriorating items. We consider that the lead time can be shortened at an extra crashing cost, which depends on the length of lead time to be reduced. Additionally, the deterioration of items and learning in production are considered simultaneously. We derive the total cost functions and shows that the functions possess some kinds of convexities. Two solution procedures are provided to determine the optimal inventory policy. Finally, numerical examples and sensitivity analyses are presented to illustrate the solution procedures.