A queuing system with a normally distributed arrival pattern, exponential service times, and three servers would be described as
71) A queuing system with a normally
distributed arrival pattern, exponential service times, and three servers would
be described as
A) G/G/3.
B) M/M/3.
C) G/M/3.
D) M/G/3.
E) N/E/3.
72) The initial state of a queuing system
(for example, when a restaurant first opens), is referred to as the ________
state.
A) steady
B) primary
C) introductory
D) transient
E) start-up
73) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. What type of queuing model applies here?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/1
74) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an normal distribution.
What type of queuing model applies here?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/2
75) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average
service rate is two per minute for each of the two clerks. What is the average
length of the line?
A) 3.429
B) 1.929
C) 1.143
D) 0.643
E) None of the above
76) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average
service rate is two per minute for each of the two clerks. How long does the
average person spend waiting for a clerk?
A) 3.429 minutes
B) 1.929 minutes
C) 1.143 minutes
D) 0.643 minute
E) None of the above
77) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average service
rate is two per minute for each of the two clerks. What proportion of time are
both clerks idle?
A) 0.643
B) 0.250
C) 0.750
D) 0.143
E) None of the above
Table 12-1
M/M/2
Mean Arrival Rate:
9 occurrences per minute
Mean Service Rate:
8 occurrences per minute
Number of Servers:
2
Queue Statistics:
Mean Number of Units in the System:
1.646
Mean Number of Units in the Queue:
0.521
Mean Time in the System:
0.183 minutes
Mean Time in the Queue:
0.058 minutes
Service Facility Utilization Factor:
0.563
Probability in No Units in System:
0.280
78) According to the information provided
in Table 12-1, on average, how many units are in the line?
A) 1.646
B) 0.563
C) 0.280
D) 1.125
E) 0.521
79) According to the information provided
in Table 12-1, what proportion of time is at least one server busy?
A) 0.563
B) 0.437
C) 0.720
D) 0.280
E) None of the above
80) Using the information provided in
Table 12-1 and counting each person being served and the people in line, on
average, how many people would be in this system?
A) 0.521
B) 1.646
C) 1.125
D) 0.183
E) None of the above71) A queuing system with a normally
distributed arrival pattern, exponential service times, and three servers would
be described asA) G/G/3.B) M/M/3.C) G/M/3.D) M/G/3.E) N/E/3.72) The initial state of a queuing system
(for example, when a restaurant first opens), is referred to as the ________
state.A) steadyB) primaryC) introductoryD) transientE) start-up73) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. What type of queuing model applies here?A) M/M/1B) M/M/2C) M/D/2D) M/D/1E) M/G/174) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an normal distribution.
What type of queuing model applies here?A) M/M/1B) M/M/2C) M/D/2D) M/D/1E) M/G/275) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average
service rate is two per minute for each of the two clerks. What is the average
length of the line?A) 3.429B) 1.929C) 1.143D) 0.643E) None of the above76) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average
service rate is two per minute for each of the two clerks. How long does the
average person spend waiting for a clerk?A) 3.429 minutesB) 1.929 minutesC) 1.143 minutesD) 0.643 minuteE) None of the above77) A post office has a single line for
customers waiting for the next available postal clerk. There are two postal
clerks who work at the same rate. The arrival rate of customers follows a
Poisson distribution, while the service time follows an exponential
distribution. The average arrival rate is three per minute and the average service
rate is two per minute for each of the two clerks. What proportion of time are
both clerks idle?A) 0.643B) 0.250C) 0.750D) 0.143E) None of the aboveTable 12-1M/M/2Mean Arrival Rate:9 occurrences per minuteMean Service Rate:8 occurrences per minuteNumber of Servers:2Queue Statistics:Mean Number of Units in the System:1.646Mean Number of Units in the Queue:0.521Mean Time in the System:0.183 minutesMean Time in the Queue:0.058 minutesService Facility Utilization Factor:0.563Probability in No Units in System:0.28078) According to the information provided
in Table 12-1, on average, how many units are in the line?A) 1.646B) 0.563C) 0.280D) 1.125E) 0.52179) According to the information provided
in Table 12-1, what proportion of time is at least one server busy?A) 0.563B) 0.437C) 0.720D) 0.280E) None of the above80) Using the information provided in
Table 12-1 and counting each person being served and the people in line, on
average, how many people would be in this system?A) 0.521B) 1.646C) 1.125D) 0.183E) None of the above