The document states that discussions took place involving the NHS Greater Glasgow and Clyde chief executive Jane Grant about whether a major incident should be called, but it was declined.
NHS Greater Glasgow and Clyde said all of its services are under "considerable pressure" with the arrival of winter bringing additional challenges.
In a statement, the hospital's board said: "The A&E department at the QUEH has experienced particular pressures in recent days, and we would like to apologise to anyone who had to wait longer than they would have expected.
"NHS Greater Glasgow and Clyde has in place a robust system of escalation policies to help mitigate additional pressures, and these were implemented yesterday.
"The possibility of declaring a major incident was raised during a discussion around pressures on the department and hospital capacity, but given the mitigations that had been put in place that discussion was taken no further."