This enquiry came to me by PM, but I'm posting it as it's valuable information for anyone wanting to come to Libya with their family:
Hello Sandman,
I have been offered a job with a Oil Company in Tripoli, I'll get my entry visa in couple of weeks. Once I'm there my company will apply for my resident/work visa. Could you please tell me how long it takes to get resident visa? My decision to move to Tripoli is depneding on this one big factor cause I can't leave my family behind for long for my personal reasons. Is there a way to speed up the process. Can she get a visit visa through a Lybian Travel agent? That would be a great help if you reply.
I arrived in Tripoli 9th March and my passport with the residence visa / reentry visa was returned to me by 3rd week April - around 5 weeks later.
After this, my family's details were submitted to the Libyan immigration authorities and the application reference number was transmitted to the Libyan embassy in London - this took 3 weeks. In London it took 1 week for the spouse/family visas to be issued. The cost for each visa was GBP 500
Don't bother trying to bring in your family on a tourist visa, it's a lot of hassle and your family will still need to return to the point of origin to apply for their spouse visas.