Upvote:3
Given your nationality I believe you will need a Transit Visa (subclass 771) in order to transit Melbourne.
Note that link says for this visa:
Stay: No longer than 72 hours
Cost: Free
Processing times:
25% of applications: 1 day
50% of applications: 5 days
75% of applications: 13 days
90% of applications: 20 days
Unless there is something we don't know about, it seems that you would not be eligible for a visa free transit, as seen in this link.