Someone, please do the #math/#logic. I've done it, and I want to make sure this is right.
If you have 100 employees, and they come into the office three days a week on the days of their choosing, what is the absolute minimum number of desks needed to accommodate them?
@ThinkingSapien Of their choosing? Then, 100.
If a person assigns days to minimize overlap, do you see a way for it to be less than 100?
@ThinkingSapien In a proper workspace for human beings? No.
In a box-factory for employee-person-units? Sure, you could get it down to 3/5ths (based on 3 days per 5 day work week), so 60 desks.
I think I walked that same path that you are. 60 was my initial thought too.
@ThinkingSapien Okay, yep, if you schedule it properly, the answer is indeed 60. I wrote a scheduler to test my theory. I've included the source code and results below.
@ThinkingSapien But the answer to your initial query, where employees choose their days, is still 100.
I don't know what i was doing in my initial math. But insat down and scheduled 1 to 10 employees on paper and see the needed desks increasing according to the function
int DesksNeeded(int employeeCount)
{
return Math.ceiling( ((float)employeeCount)*3.0f/5.0f)
}
But yes, I should not assume humans will naturally settle on the most efficient behaviour pattern. I might see more people on Wednesday, the day they pass out bagels. Or those days with free lunch or town halls.
@ThinkingSapien Wait, I see the flaw in my math. Let me run the proper numbers.