You are dreaming about tickets and numbers and days right?
Hungry people will be there no matter what...
And so will the greedy ones too.
Security is vital in such deals. It gets ugly in a hurry if the food you just gave to a child or elderly person is immediately snatched by an adult. That is why a multiple screen is best.
The furthest cordon, they just show they have a ticket. At the second cordon, you take their ticket one at a time, so they approach and get food. Then they leave by another exit where there is no crowd, and a watch is kept for predators.