What are some commonly known facts that are too bizarre for you to believe to be true?
What are some commonly known facts that are too bizarre for you to believe to be true?
For me it is the fact that our blood contains iron. I earlier used to believe the word stood for some 'organic element' since I couldn't accept we had metal flowing through our supposed carbon-based bodies, till I realized that is where the taste and smell of blood comes from.
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Queuing theory can have some fun surprises.
Suppose a small bank has only one teller. Customers take an average of 10 minutes to serve and they arrive at the rate of 5.8 per hour. With only one teller, customers will have to wait nearly five hours on average before they are served. If you add a second teller the average wait becomes 3 minutes.
Can you elaborate on the math here? (I believe you, I just want to understand the simulation parameters better).
Not OP, but this website should explain everything.
Thanks! This article really clears up a lot of the details that help the simulation make sense.
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Also, in this simulation are the customers arriving in equally spaced intervals or is random arrival time within the bounds assumed?
In the linked article they are arriving randomly. It takes 10 minutes per customer and they arrive every 10.3 minutes.
Aren't they arriving slightly slower than can be served, according to these numbers:
If one customer takes 10 minutes to serve, you can serve 6 customers in an hour
and you get 5.8 customers every hour, which is less than 6
So you serve 6 customers, meaning you have a leftover capacity of 0.2 per hour or 1 extra customer every 5 hours
Maybe the numbers are switched over or I am misunderstanding something
Edit: nevermind, read the link in the thread and realised I treated the average as the actual serving time and I'm guessing that's what makes it non intuitive. I'm still not entirely clear on how it works.
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They're arriving slower than they can be processed. So the line shrinks slowly it there's a line.
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Assume the bank opens up to a long line and it makes sense.
Intuitive way to see why is that 6.1 customers per hour would mean infinite waiting time (when it reaches a steady state)