We are students and we developing the project of a music festival that takes place in 3 venues. We have identified some risks; one of those is related to the capacity of the venues, the tickets sold and how people will behave during the festival.
The total capacity of the venues is 6000, however we just sell 5800 tickets to have some spare capacity (200). The tickets allow the audience to access the three venues if there is free space on them.
Venue A Venue B Venue C
Capacity (people) 3000 2000 1000
In order to reduce people queuing outside because the venues are full the following measures have been taking:
The concerts in the three venues start at the same time; this is 18.00h, 19.00h and so forth and last 45minutes each.
The line up has been done in such way that bands playing at the same time have a similar fan-base on the social media.
The venues are located in the same area but walking time between them takes approx 5 minutes between venues is required.
The question are:
What is the probability at any given moment of time to have people queuing outside the venues A, B, C?
Probability of having queues in more than one venues simultaneously (e.g A and C)
It is possible to know an estimate, using statistics, of the queuing time? What time of data would be required to carry such analysis?
We appreciate your time and help.
Best,
Oliver

The total capacity of the venues is 6000, however we just sell 5800 tickets to have some spare capacity (200). The tickets allow the audience to access the three venues if there is free space on them.
Venue A Venue B Venue C
Capacity (people) 3000 2000 1000
In order to reduce people queuing outside because the venues are full the following measures have been taking:
The concerts in the three venues start at the same time; this is 18.00h, 19.00h and so forth and last 45minutes each.
The line up has been done in such way that bands playing at the same time have a similar fan-base on the social media.
The venues are located in the same area but walking time between them takes approx 5 minutes between venues is required.
The question are:
What is the probability at any given moment of time to have people queuing outside the venues A, B, C?
Probability of having queues in more than one venues simultaneously (e.g A and C)
It is possible to know an estimate, using statistics, of the queuing time? What time of data would be required to carry such analysis?
We appreciate your time and help.
Best,
Oliver