Optimization is the key here. Elimination of wastage is a gradual process to allow work flow and procedures to mature with the change. We go one step at a time, with the aim of reaching an optimal level of wastage at every step, moving towards a waste free business process.
This optimization of systems could be in terms of better information management, project management, task organization, work flow coordination etc. At the end it depends on the needs and nature of your process.