You don't seem to be far off, but I hope you didn't fall into the trap of trying to sort the hash itself. Hashes can't be sorted, but arrays or lists made from their keys.
foreach $batch ( keys %{$hash{$host}} ) {
my @runs= keys %{$hash{$host}{$batch};
@runs= sort { $hash{$host}{$batch}{$a}{start} <=> $hash{$host}{$bat
+ch}{$b}{start} } @runs;
foreach $run (@runs) {
...
Naturally you can compress this into one line and remove the need for @runs, but I wanted to show explicitly what I was doing
Oh and it is untested. Wouldn't suprise me if I had made a silly mistake somewhere
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