Continuous improvement is strongly linked to one of the principles of the Agile manifesto which states that "At regular intervals, the team reflects on how to become more effective, then tunes and adjusts its behavior accordingly". The improvements you want to achieve can be split into two distinct areas:
The following sources of information could all be used to help you target improvements to your software:
A convenient opportunity for a team to have this discussion is the sprint retrospective that is a part of the Agile development process. There is no fixed format to determine exactly what is discussed at a sprint retrospective, but in general, variants of the following questions are asked:
The scope of these questions is not limited to code-writing activities but covers the whole development process, so from requirements gathering to release. For any aspects of operation that are deemed to have not gone well, solutions can be discussed, and any changes can be implemented for future sprints. If substantial changes are required, they can be handled in the same way as any other requirements, with a project management tool.
As sprints are very short, typically two weeks, any changes that are made to the process will be put into practice very quickly, and future sprint retrospectives will provide opportunities to discuss if the changes made had the desired effect or if further changes need to be made.