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Home / Questions / Lines at banks where customers wait for a teller window are usually representative of a A) singl

Lines at banks where customers wait for a teller window are usually representative of a A) singl

51) Lines at banks where customers wait
for a teller window are usually representative of a
A) single-channel, multiphase system.
B) single-channel, single-phase system.
C) multichannel, multiphase system.
D) multichannel, single-phase system.
E) None of the above
52) Which of the following distributions
is most often used to estimate the arrival pattern?
A) negative exponential
B) normal
C) Poisson
D) Erlang
E) beta

53) A single automatic car wash with one
bay and a cycle time of 2.5 minutes is what type of model?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/1

54) A single automatic car wash with one
bay and a service time that is normally distributed is what type of model?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/1

55) Which of the following is not
an assumption in common queuing mathematical models?
A) Arrivals come from an infinite, or very
large, population.
B) Arrivals are Poisson distributed.
C) Arrivals are treated on a first-in,
first-out basis and do not balk or renege.
D) Service rates follow the normal
distribution.
E) The average service rate is faster than
the average arrival rate.
56) The “utilization factor” is
defined as the
A) percent of time the system is idle.
B) average percent of time the customers
wait in line.
C) average time the service system is
open.
D) percent of time that a single customer
is in the system.
E) None of the above

57) A suburban specialty restaurant has
developed a single drive-thru window. Customers order, pay, and pick up their
food at the same window. Arrivals follow a Poisson distribution, while service
times follow an exponential distribution. What type of queuing model is
exhibited in this problem?
A) M/M/1
B) M/M/2
C) M/D/2
D) M/D/1
E) M/G/1
58) A suburban specialty restaurant has
developed a single drive-thru window. Customers order, pay, and pick up their
food at the same window. Arrivals follow a Poisson distribution, while service
times follow an exponential distribution. If the average number of arrivals is
6 per hour and the service rate is 2 every 15 minutes, what is the average
number of customers in the system?
A) 0.50
B) 4.00
C) 2.25
D) 3.00
E) None of the above
59) A suburban specialty restaurant has
developed a single drive-thru window. Customers order, pay, and pick up their
food at the same window. Arrivals follow a Poisson distribution while service
times follow an exponential distribution. If the average number of arrivals is
6 per hour and the service rate is 2 every 15 minutes, what is the average
number of customers waiting in line behind the person being served?
A) 0.50
B) 0.75
C) 2.25
D) 3.00
E) None of the above

60) A suburban specialty restaurant has
developed a single drive-thru window. Customers order, pay, and pick up their
food at the same window. Arrivals follow a Poisson distribution while service
times follow an exponential distribution. If the average number of arrivals is
6 per hour and the service rate is 2 every 15 minutes, what proportion of the
time is the server busy?
A) 0.25
B) 0.50
C) 0.75
D) 2.25
E) 3.00

61) A suburban specialty restaurant has
developed a single drive-thru window. Customers order, pay, and pick up their
food at the same window. Arrivals follow a Poisson distribution while service
times follow an exponential distribution. If the average number of arrivals is
6 per hour and the service rate is 2 every 15 minutes, how much time will
elapse (in hours) from the time a customer enters the line until he/she leaves
the restaurant?
A) 0.50
B) 0.25
C) 0.75
D) 2.25
E) 3.00

62) Customers enter the waiting line at a
cafeteria on a first-come, first-served basis. The arrival rate follows a
Poisson distribution, while service times follow an exponential distribution.
If the average number of arrivals is four per minute and the average service
rate of a single server is seven per minute, what is the average number of
customers in the system?
A) 0.43
B) 1.67
C) 0.57
D) 1.33
E) None of the above
63) Customers enter the waiting line at a
cafeteria on a first-come, first-served basis. The arrival rate follows a
Poisson distribution, while service times follow an exponential distribution.
If the average number of arrivals is four per minute and the average service
rate of a single server is seven per minute, what is the average number of
customers waiting in line behind the person being served?
A) 0.76
B) 0.19
C) 1.33
D) 1.67
E) None of the above

64) Customers enter the waiting line to
pay for food as they leave a cafeteria on a first-come, first-served basis. The
arrival rate follows a Poisson distribution, while service times follow an
exponential distribution. If the average number of arrivals is four per minute
and the average service rate of a single server is seven per minute, what
proportion of the time is the server busy?
A) 0.43
B) 0.57
C) 0.75
D) 0.25
E) 0.33

65) Customers enter the waiting line to
pay for food as they leave a cafeteria on a first-come, first-served basis. The
arrival rate follows a Poisson distribution, while service times follow an
exponential distribution. If the average number of arrivals is four per minute
and the average service rate of a single server is seven per minute, on
average, how much time will elapse from the time a customer enters the line
until he/she leaves the cafeteria?
A) 0.67 minute
B) 0.50 minute
C) 0.75 minute
D) 0.33 minute
E) 1.33 minutes
66) At a local fast-food joint, cars
arrive randomly at a rate of 12 every 30 minutes. The fast food joint takes an
average of 2 minutes to serve each arrival. The utilization factor for this
system is
A) 0.467.
B) 0.547.
C) 0.800.
D) 0.133.
E) None of the above

67) At a local fast food joint, cars
arrive randomly at a rate of 12 every 30 minutes. Service times are random
(exponential) and average 2 minutes per arrival. The average time in the queue
for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.

68) Which of the following distributions
is most often used to estimate service times?
A) negative exponential
B) normal
C) Poisson
D) Erlang
E) beta
69) Most systems use a queue discipline
known as
A) shortest processing time.
B) longest processing time.
C) FIFO.
D) earliest due date.
E) critical ratio.
70) When waiting time is based on time in
the queue, which of the following is the correct equation for total cost?
A) mCs + ?WCw
B) mCw + ?WCs
C) mCs + ?WqCs
D) mCs + ?WqCw
E) mCw + ?WqCs

 

Jul 23 2020 View more View Less

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