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WorksheetsUCCC Waiting Line Practice Quiz
Total questions: 15
Worksheet time: 31mins
Which of the following represents an unlimited queue?
drive-through lane at a fast-food restaurant
small barbershop with only 5 chairs for waiting customers
toll booth serving automobiles on an interstate
faculty office with limited seating during office hours
E) restaurant with no outside seating and limited capacity due to fire department restrictions
Which of the following is most likely to violate a FIFO queue?
supermarket with no express lanes
car repair garage
emergency room
fast-food restaurant
All of these are equally likely to violate a FIFO queue.
Suppose that, on average, 4 customers arrive each minute in a Poisson distribution. What is the probability that 2 customers will arrive in a particular minute?
0.500
0.147
0.018
0.073
0.195
A waiting line meeting the assumptions of M/M/1 has an average time between arrivals of 15 minutes, and it services items in an average of 10 minutes each. What is the utilization factor?
0.25
0.33
0.50
0.67
1.50
A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 12 minutes on average. Service takes a constant 8 minutes. What is the average length of the queue, Lq, in units?
0.67
2.5
4.5
0.75
5.0
17) A single-phase waiting-line system meets the assumptions of constant service time or M/D/1. Units arrive at this system every 10 minutes on average. Service takes a constant 8 minutes. What is the average number in the system, Ls, in units?
1.60
2.40
0.80
1.33
A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 5. What is the average number of units in the system?
2/3
1
1.5
2
Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. On average, how long does it take to service each student?
1 minute
3 minutes
5 minutes
20 minutes
A mechanic for Mr. Plow makes minor repairs to snowplows during the winter. The snowplows break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8-hour day.
The mechanic's utilization is:
.60
.65
.70
.75
A goal of many waiting line problems is to help a firm find the ideal level of services that minimize the cost of waiting and the cost of providing the service.
True
False
) The customer who arrives at a bank, sees a long line, and leaves to return another time is
balking.
cropping.
reneging.
blithering.
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
2 minutes.
4 minutes.
6 minutes.
8 minutes.
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 three per minute and the average service rate of a single server is five per minute, what is the average number of customers in the system?
0.43
1.50
2.00
1.33
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
0.467.
0.547.
0.800.
0.133.
If λ = 24 and μ = 30, then utilization is equal to ________.
Answer: 80%
125%
1..25
80%
20%
