Iarnród Éireann is to examine its queue management systems after gardai were called to manage a large crowd in Kent Station, Cork early this morning.
GAA fans attempting to secure tickets to the attend the All Ireland Hurling Quarter Final in Dublin on Sunday queued from early morning in the hope of a seat on one of the special trains laid on for the match.
A spokesman for Iarnród Éireann said some fans became "very annoyed" over allegations that up to 100 people skipped a queue.
"We asked gardai to come along and help us manage the crowd," he added.
"We could take more people if we had more trains, but our regular timetabled services are our priority".
Three specials carrying 1,200 people were added to the regular timetable to help carry passengers to the GAA match, the Horse Show and the Robbie Williams concert next weekend.
The spokesman said the company would be looking at how queues would be properly marshalled for similar events in the future and said it was also considering reducing the allocation of four tickets per person to two.