Three levels are usually enough
The first level is the cleaner or leading hand on site, who resolves most issues within the shift. The second is the supervisor, who handles anything requiring resourcing, a variation or a return visit. The third is the account contact, who deals with scope changes, recurring failures and anything the client wants raised formally. Adding more levels tends to slow things rather than improve them.
What matters is stating what belongs at each level and how long it should take. A missed bin is a level one item resolved that day. An area consistently below standard is a level two item with a response within a working day. A dispute about scope is level three. Written this way, a client can tell whether a matter is being handled at the right level or has stalled.
