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by zmb_ 1652 days ago
By Litte's Law, the arrival rate to the waiting room (l) is equal to the number of customers in the waiting room (L) divided by the amount of time a customer spends in the waiting room (W), ie., l = L/W. If the arrival rate to the post-injection waiting room is less than the throughput of the vaccination stations, then removing (or reducing) the waiting time after an injection is going to improve performance of the system.
1 comments

I'm not sure what your maths is trying to but when I've been for jabs there have been queues for the injection but the waiting room has always had plenty of space. The waiting room was never a bottleneck so removing it would make no difference. I'm not sure where they got the 23% figure from.

Ah I just reread it:

> that under the conditions of a system working at full capacity (as is needed now) the 15-minute wait reduces throughput by 23%.

So they're saying if they add a load more vaccinators the waiting room may become a bottleneck. Fair enough.