2 Markov Chain Qs

EricP

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Apr 29, 2019
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1.If you were in a massive coffee shop where customers all over the country come, and the coffee shop could receive in theory 1 million customers, how would you find the long-run probabilities of there being n customers waiting to pay in the coffee shop?
2.Under which conditions on a transition matrix, does the stationary distribution have all its entries equal?
 
You'll have to define the coffee shop better. At what rate do people show up? How many service lanes are there? Is there an average service time?

Must all the eigenvalues be unity? Give it some thought.
 
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