Aberdeen and Dundee United will meet in their Scottish League Cup semi-final at Hampden Park on Saturday, January 31, with a 3pm kick-off.
The Celtic v Rangers semi-final will be at Hampden on Sunday, February 1, with a 1.30pm kick-off. The tie wil be televised live on BBC Scotland.
Ticket prices for both games have also been set, with 34,000 briefs for each semi-final available at £25 for adults and £10 for juveniles (under-16s).
The £25 price is applicable to the North Stand, East Stand and West Stand and the £10 ticket option to the East Stand and West Stand areas of the national stadium, which will be hosting its first major football matches following its use as an athletics venue during Glasgow 2014.
Tickets for all four clubs are also available in the South Stand at £30 to 35 for adults, while, for wheelchair users, there is availability throughout the ground, at £10 to £20 for adults and £5 for under-16s.
The competing clubs will announce ticket sale information via their own channels.