Can you use queing theory to soslve this? 3. Customers arrive at an air airport

Question

Can you use queing theory to soslve this?

3. Customers arrive at an air airport shoe-shine stand at a rate of 8 per hour. The average length of a shoe shine is 4 minutes. There are two attendants. Customers who find both chairs occupied will wait only if there are no more than two other people waiting for a shoe shine. Assuming Poisson input and exponential service time, find the mean number of customers served per hour. ANSWER (a) Applicable queueing model - (b) Mean number of customers served per hour =

Explanation / Answer

Applicable queing model is M/M/2

Mu = 60/4=15

Mean number of customers served per hour = Lambda^2 / [(Mu) * (Mu - Lambda) ]= 8^2/ [ 15* 7]= 0.6095

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