wube,
I would recommend breaking your data up into a different structure if you can. If you can't, the following should be close to what you want. In fact, it is temporarily creating an alternative structure used to do the sorting and then disgarding it at the end. 
#!/usr/bin/perl
#!/usr/bin/perl
use strict;
use warnings;

my %dow = (
   Sunday => 1, Monday => 2, Tuesday => 3, Wednesday => 4,
   Thurday => 5, Friday => 6, Saturday => 7
);

my @data = map { chomp; $_ } <DATA>;
print "$_\n" for map { $_->[0] }
    sort { $a->[1] <=> $b->[1] || $a->[2] <=> $b->[2] || $a->[3] cmp $
+a->[3] }
    map {
        my @field = split /,/;
        $field[8] =~ s/\D//g;
        [ $_, $dow{$field[7]}, $field[8], $field[0] ]
    } @data;

__DATA__
"aix-dev,active,aixr03,aixr03,crmd,FULL,12345,Sunday,018:00:00"
"w2k-prod,active,w2k-PROD,pub1hi,prod-web-srv1Y,FULL,3,Friday,021:00:0
+0"
"w2k-prod,active,w2k-PROD,pol02pi,prod-web-srv1,CINC,,Monday,009:00:00
+"
"w2k-prod,active,w2k-PROD,pub01pi,prod-web-srv1,CINC,,Monday,023:00:00
+0"
"aix-dev-ecmd2,active,aixr03,aixr03,ecmD2,FULL,12345,Monday,001:00:00"
"aix-prod-artp,active,aixr04,aixr04,artp-rman,FULL,2345,Sunday,021:30:
+00"
"w2k-prod,active,w2k-PROD,pol02pi,prod-web-srv1Y,FULL,3,Friday,023:00:
+00"
"w2k-prod,active,w2k-PROD,pub01pi,prod-web-srv1Y,FULL,3,Friday,021:00:
+00"

[download]
As far as the last question - how to make it efficient. You are going to need to give some idea what you mean by "large" and what resource you are looking for to be efficient with.

Cheers - L~R

See Schwartzian Transform for more information.

In reply to Re: Sort questions by Limbic~Region
in thread Sort questions by wube

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