Chapter 12 Waiting Lines and Queuing Theory Models

101) According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how much time is spent waiting in line?

A) 1.875 minutes

B) 1.125 minutes

C) 0.625 minute

D) 0.375 minute

E) None of the above

102) According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers are in the system?

A) 1.875

B) 1.125

C) 0.625

D) 0.375

E) None of the above

103) According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers arrive per time period?

A) 3

B) 4

C) 1.875

D) 1.125

E) None of the above

104) According to Table 12-4, which presents a queuing problem with a constant service rate, on average, how many minutes does a customer spend in the service facility?

A) 0.375 minute

B) 4 minutes

C) 0.625 minute

D) 0.25 minute

E) None of the above

Table 12-5

M/D/1
Mean Arrival Rate:	5 occurrences per minute
Constant Service Rate:	7 occurrences per minute
Queue Statistics:
Mean Number of Units in the System:	1.607
Mean Number of Units in the Queue:	0.893
Mean Time in the System:	0.321 minutes
Mean Time in the Queue:	0.179 minutes
Service Facility Utilization Factor:	0.714

105) According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, on average, how much time is spent waiting in line?

A) 1.607 minutes

B) 0.714 minute

C) 0.179 minute

D) 0.893 minute

E) None of the above

106) According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, on average, how many customers are in the system?

A) 0.893

B) 0.714

C) 1.607

D) 0.375

E) None of the above

107) According to the information provided in Table 12-5, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers arrive per time period?

A) 5

B) 7

C) 1.607

D) 0.893

E) None of the above

108) According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, on average, how many minutes does a customer spend in the system?

A) 0.893 minute

B) 0.321 minute

C) 0.714 minute

D) 1.607 minutes

E) None of the above

AACSB: Analytic Skills

109) According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, what percentage of available service time is actually used?

A) 0.217

B) 0.643

C) 0.321

D) 0.179

E) None of the above

110) According to the information provided in Table 12-5, which presents the solution for a queuing problem with a constant service rate, the probability that the server is idle is

A) 0.217.

B) 0.643.

C) 0.286.

D) 0.714.

E) None of the above

111) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the probability the system is empty?

A) 1.1500

B) 1.1658

C) .8578

D) .8696

E) None of the above

112) Which of the following is not an assumption for the M/M/1 model with finite population source?

A) There is only one server.

B) The population of units seeking service are finite.

C) Arrivals follow a Poisson distribution and service times are exponential.

D) Customers are served on a first come, first served basis.

E) The length of the queue is independent of the arrival rate.

113) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average number of fax machines in the queue?

A) 1.1658 fax machines

B) 2.9904 fax machines

C) .1563 fax machine

D) .0142 fax machine

E) None of the above

114) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average number of fax machines in the system?

A) .0142 fax machine

B) .1563 fax machine

C) .0249 fax machine

D) .2749 fax machine

E) None of the above

115) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average waiting time in the queue?

A) .0142 hour

B) .1563 hour

C) .0249 hour

D) .2749 hour

E) None of the above

Table 12-6

Customers arrive at coffee shop at a rate of 40 per hour. There are 2 servers available and it takes an average of 1 minute to serve each customer.

116) Using Table 12-6, what proportion of time are the servers busy?

A) 0

B) 0.333

C) 0.5

D) 0.6667

E) 1

117) Using Table 12-6, what is the probability of no customers in the system?

A) 0

B) 0.333

C) 0.5

D) 0.667

E) 1

118) Using Table 12-6, what is the average number of customers in the coffee shop?

A) 0.0833

B) 0.5

C) 0.75

D) 1.33

E) 2

119) Using Table 12-6, what is the average number of customers waiting in line?

A) 0.0833

B) 0.5

C) 0.75

D) 1.33

E) 2

120) The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average time spent in the system?

A) .0142 hour

B) .1563 hour

C) .0249 hour

D) .2749 hour

E) None of the above