Rigging the shuffle to be identical on a given host is easy -- simply feed a fixed seed to srand before your first call to rand.
This makes variation between hosts easy by simply choosing a host-specific property as your seed -- perhaps a mangled hardware address?
my ($eth) = `ifconfig` =~ /HWaddr (\S+)/;
$eth =~ s/\W//g;
no warnings 'portable';
srand hex $eth;
say rand for 1 .. 10;
#11929 First ask yourself `How would I do this without a computer?' Then have the computer do it the same way.