The race committee normally has a few options if the fleet continues to be over early during the starts. If they have had several general recalls, they will start increasing the penalties of being over early. The most severe is the "black flag" where you are basically DSQ'd if you get caught over early. Others can make you have to round the ends of the line to restart instead of dipping the line or assessing a percentage penalty to your finish.
For more information, checkout Rule 30 in the RRS.
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30 STARTING PENALTIES 30.1 I Flag Rule If flag I has been displayed, and any part of a boat’s hull, crew or equipment is on the course side of the starting line or one of its extensions during the last minute before her starting signal, she shall thereafter sail from the course side across an extension to the prestart side before starting. 30.2 Z Flag Rule If flag Z has been displayed, no part of a boat’s hull, crew or equipment shall be in the triangle formed by the ends of the starting line and the first mark during the last minute before her starting signal. If a boat breaks this rule and is identified, she shall receive, without a hearing, a 20% Scoring Penalty calculated as stated in rule 44.3(c). She shall be penalized even if the race is restarted or resailed, but not if it is postponed or abandoned before the starting signal. If she is similarly identified during a subsequent attempt to start the same race, she shall receive an additional 20% Scoring Penalty. 30.3 Black Flag Rule If a black flag has been displayed, no part of a boat’s hull, crew or equipment shall be in the triangle formed by the ends of the starting line and the first mark during the last minute before her starting signal. If a boat breaks this rule and is identified, she shall be disqualified without a hearing, even if the race is restarted or resailed, but not if it is postponed or abandoned before the starting signal. If a general recall is signalled or the race is abandoned after the starting signal, the race committee shall display her sail number before the next warning signal for that race, and if the race is restarted or resailed she shall not sail in it. If she does so, her disqualification shall not be excluded in calculating her series score.