I agree with the order on the rostrum for finals, but what about qualifying? It is not possible to be called up in turn for this because it would take too much time, but it WOULD be possible to divide the rostrum into ten equal segments (tape on the rail). The numbers 1-10 (stuck on a 2"x3") plastic carrier with a hole in it) could be placed in a bag and pulled out at random by the ref at the starts of each round and placed on hooks left to right under each segment. This would randomise the standing position for each round. This would prevent any pushing to get onto the rostrum first and prevent bunching up at one end which happens at some tracks.
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