As stated all rolls should be defined in the Airport Emergency Plan (AEP). As for Airport Operations, they will become part of the Incident Command structure, representing the Airport Manager, along with the Fire Department, Police Department, the airline (if involved) and any Federal agencies that needs to participate (FAA, NTSB, FBI, CDC). Initially the Fire Department has command of the incident. Overtime as task get completed, fire putout, people removed from aircraft, aircraft secured for investigation, the incident commander will shift back to Airport Operations or the Police Department. During all this Airport Operations, still has an airport to operate, away from the incident unless the incident expands for some reason.