Question

In: Statistics and Probability

In a drive-thru fast food restaurant, customers arrive with an interarrival time of 6 minutes. The...

In a drive-thru fast food restaurant, customers arrive with an interarrival time of 6 minutes. The drive-thru operates in just a single file line so only one customer’s order is processed at once. The drive-thru has an average service time of 4 minutes.

What is the steady-state utilization of the drive-thru? What is the average time in system per customer? What is the probability of there being exactly 1 customer in the queue?

Solutions

Expert Solution

What is the steady-state utilization of the drive-thru?

= rho = lambda/ mu = 10/15 = 2/3

What is the average time in system per customer?

Ws = 12 minute

What is the probability of there being exactly 1 customer in the queue?

P(1 customer in queue)

= P(2 customer in system)

= P(X = 2)

= ( 1- rho) * rho^k

= (1 - 2/3) * (2/3)^2

= 0.148148

orchestra answered 2 years ago
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