Tony, just put some figures to Kurnals comment:
Adopting phased evacuation in a 20 storey building with about 200 persons per storey would require 2 x 1100 stairs. (Looking at ADB this might not seem quite correct, but assuming that on the fire floor you lose an exit, the alternative route needs to take everyone from that floor without narrowing, so we need a 1050mm exit leading onto a 1100 stair.) You generally don't have to discount a stair if it is designed with phased in mind as there should be lobbies or a pressurised stair.
The same building with simultaneous evac in mind would require 4 x 1200 stairs. This is because a 1200 stair will accomodate 1095 persons for simultaneous evac. (There are other ways to meet the requirements, this is just an example) Also, I am again assuming lobbies or a pressurisation system is in place so we still don't need to discount a stair.
So basically, if the building above was built to accomodate phased, and then you switch to simultaneous, you are 2600mm short on staircase width. This will more than double the evacuation time, which is not good when you are in the fire-affected compartment waiting to enter the stair.
But, also in line with kurnals comments, if the building only has something like 50-100 people per floor then there is a chance that it might suffice.
Aside from this: If it is a pressurised stair you are even more stuck as that is designed to only have a certain number of doors open.