Let all members of the team analyze and discuss the problem. Break up the problem and analyze it in all its parts. Study the past, present and future of the problem as team members perceive it. Let everyone have a chance to imprint their personal view point of the problem.
Certainly a person on the assembly line will see the problem in a way totally different from the CEO. The problem of the mouse is different from the solutions seen by the housewife. When everyone understands the problem together, they become committed to finding a solution common to all.
When the biggest cruise ship in history, ‘The Titanic’ sprang a leak, the first person to notice it is supposed to have said “The problem is on the other side of the ship!” The whole ship sank anyway.
Problem analysis by the whole team ensures that people take a holistic view without turf protection.