The correct answer for each question is indicated by a .

1

Waiting lines will never form in a service facility, if the overall system capacity is much more than overall processing requirements.

A)

True

B)

False

2

Variability in demand and/or time to service is the main reason for formation of waiting lines in front of service facilities.

A)

True

B)

False

3

If the overall system capacity is less than the overall processing requirements, and if the facility is open continuously, then very long waiting lines will be formed as time passes.

A)

True

B)

False

4

The combined cost of service capacity and customer waiting cost is generally U shaped.

A)

True

B)

False

5

Customers arrive at a bus station at the rate of 5 per minute following Poisson distribution. If one looks at the distribution of inter-arrival times of customers, it would also follow Poisson distribution.

A)

True

B)

False

6

Customers arrive at a bus station at the rate of 5 per minute following Poisson distribution. What is the probability of 3 arrivals in a one-minute interval?

Time between consecutive arrivals of customers to a grocery store is exponential with a rate of 3 per minute. What is the probability that a time of 2 minutes will elapse between the arrivals of two consecutive customers?

A)

e^{-6}

B)

e^{-3}

C)

1 - e^{-6}

D)

1 - e^{-3}

8

Two key parameters in any single channel single phase queuing system are:

A)

Waiting time and service time.

B)

Arrival rate and number of servers.

C)

System utilization and average queue length.

D)

Mean arrival rate and mean service rate.

9

In a single channel manual soft cloth wash, cars arrive following the Poisson distribution at the rate of 8 per hour. It takes an average of 6 minutes to wash a car and the service time follows exponential distribution. The system utilization would be

A)

75%

B)

80%

C)

133.33%

D)

125%

10

In a single channel manual soft cloth wash, cars arrive following the Poisson distribution at the rate of 8 per hour. It takes an average of 6 minutes to wash a car and the service time follows exponential distribution. The average number of cars in the system will be:

A)

0.8

B)

3.2

C)

5

D)

4

11

A grocery store has two identical checkouts each can serve an average of 20 customers per hour following an exponential distribution. Customers ready to checkout arrive at a common checkout line following Poisson distribution with a rate of 30 per hour. For this system, it is known that L_{q} = 1.929 and P_{0} = 0.143. The average number in the system will be:

A)

1.929

B)

2.072

C)

1.643

D)

3.429

12

In Mr. and Mrs. Phillips Grocery Store, customers join the single checkout line following the Poisson distribution at a rate of 15 per hour. The checkout clerk can handle 20 customers per hour and the service time follows the exponential distribution. The average number in the queue (L_{q}) = 2.25 and utilization is 0.75. The maximum number of customers waiting in line with a probability of 0.95 will be:

A)

8

B)

9

C)

18

D)

19

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