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COMM-225-QUIZ-4-ANSWERS Concordia University
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COMM-225-QUIZ-4-ANSWERS Concordia University uestion 1 Airplanes arrive at gate no. 12 of a busy airport. After being parked in the right position, the passengers’ baggage gets unloaded by a team of baggage handlers. There is space for one airplane at the gate, and an unlimited space on the...

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  • December 30, 2023
  • 10
  • 2023/2024
  • Exam (elaborations)
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COMM-225-QUIZ-4-ANSWERS 2024-2025 Concordia University
Question 1
Airplanes arrive at gate no. 12 of a busy airport. After being parked in the right position, the passengers’ baggage gets unloaded by a
team of baggage handlers. There is space for one airplane at the gate, and an unlimited space on the runaway for planes to wait for
unloading. The arrival of planes follows a Poisson process with rate of 1 every hour. The unloading time of a plane is exponentially
distributed, with rate proportional to the number of baggage handlers in the unloading crew. Each baggage handler can unload half
of the plane in an hour. The manager has currently assigned 3 baggage handlers for unloading a plane. The average number of planes
waiting to be unloaded is (approximately)

Select one:

a. 1.00
b. 1.94

c. 1.33

d. None of the given choices

e. 0.66

Question 2
A single server queuing system has an average service time of 16 minutes per customer, which is exponentially distributed. The
manager is thinking of converting to a system with a constant service time of 16 minutes. The average arrival rate will remain the
same. The effect will be to:

Select one:
a. decrease the average waiting time

b. not have any effect since the service time is unchanged

c. decrease utilization

d. increase utilization

e. increase the average waiting time

Question 3
A single server queuing system has an average service time of 8 minutes and an average time between arrivals of 7.5 minutes. The
average arrival rate is:

Select one:

a. 6 per hour
b. 12.5 per hour

c. 8 per hour

d. 10 per hour

e. 7.5 per hour

Question 4

, A walk-in medical clinic has four doctors that serve patients with health problems on a first-come, first-serve basis. On average a
doctor requires 15 minutes to process a patient and service times follow an exponential distribution. Patients arrive at the clinic at
the rate of 10 per hour according to a Poisson distribution. The probability that there is no patient in the medical clinic is 0.073. The
average amount of time, in minutes, spent by a patient waiting in line is approximately (two places of decimal)

Select one:


a. None of the given choices are true

b. 0.03 minutes

c. 19 minutes
d. 3.00 minutes

e. 0.05 minutes

Question 5
Buying a ticket for a college football game, where there are multiple windows to buy the ticket and where customers form a single
queue, features which type of line structure in a queuing system?

Select one:
a. None of the above

b. Multichannel, single phase

c. Multichannel, multiphase

d. Single channel, multiphase

e. Single channel, single phase

Question 6
The number of parallel servers in waiting line analysis is referred to as the number of phases.

Select one:
True

False

Question 7
A walk-in medical clinic has four doctors that serve patients with health problems on a first-come, first-serve basis. On average a
doctor requires 15 minutes to process a patient and service times follow an exponential distribution. Patients arrive at the clinic at
the rate of 10 per hour according to a Poisson distribution. The probability that there is no patient in the medical clinic is 0.073. The
average amount of time, in minutes, spent by a patient in the system would be (up to two places of decimal).

Select one:


a. 18.00 minutes

b. 0.03 minutes
c. None of the given choices are correct

d. 3 minutes

e. 0.5 minutes

Question 8

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