Question

Please do it by type not pic.

1.Customers arrive at an average rate of 10 per hour and an average of 15 customers can be served in an hour. Assume this is an M/M/1 model.

a.What is the system utilization?

b.How many people are in line?

c.How many people are in the system?

d.What is the average amount of time a person spends in line?

e.What is the average amount of time a person spends in the system?

f.What is the probability of 4 customers in the system?

Answer #1

Arrival rate = 10

Service rate = 15

a) system utilization

b) No of people in line L_{q}

L_{q} = 1.33 customers

c) No of people are in the system L

L = 10/(15-10) = 2 customers

d) Average amount of time a person spends in line
W_{q}

W_{q} = 0.133 hours = 8 minutes

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