Lim Wei Sin,
Our OptiSystem product has the capability to design various types of amplifiers and then create optimization routines to maximize a defined result. For example, you can optimize the EDF length to obtain a max Q factor.
Here are some examples:
1. Optimization description: https://optiwave.com/?p=3983
2. EDF length optimization: https://optiwave.com/?p=4094
3. List of other applicable tutorials: https://optiwave.com/?s=optimization+amplifier
Bryan