Queuing Theory

This quiz covers the fundamental concepts and applications of queuing theory, a branch of mathematics that deals with the study of waiting lines and queues.

15 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

In a queuing system, what is the average number of customers waiting in the queue?

  1. Arrival rate / (Arrival rate - Service rate)
  2. Service rate / (Service rate - Arrival rate)
  3. Arrival rate / (Arrival rate + Service rate)
  4. Service rate / (Service rate + Arrival rate)
Question 2 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to an exponential distribution?

  1. M/M/1
  2. M/M/2
  3. M/M/C
  4. M/M/∞
Question 3 Multiple Choice (Single Answer)

In a queuing system, what is the probability that a customer has to wait before being served?

  1. Arrival rate / Service rate
  2. Service rate / Arrival rate
  3. Arrival rate / (Arrival rate + Service rate)
  4. Service rate / (Service rate + Arrival rate)
Question 4 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a general distribution?

  1. M/G/1
  2. M/G/2
  3. M/G/C
  4. M/G/∞
Question 5 Multiple Choice (Single Answer)

In a queuing system, what is the average time a customer spends in the system?

  1. 1 / (Arrival rate - Service rate)
  2. 1 / (Service rate - Arrival rate)
  3. 1 / (Arrival rate + Service rate)
  4. 1 / (Service rate + Arrival rate)
Question 6 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a general distribution and are served according to an exponential distribution?

  1. G/M/1
  2. G/M/2
  3. G/M/C
  4. G/M/∞
Question 7 Multiple Choice (Single Answer)

In a queuing system, what is the probability that a customer will be served immediately upon arrival?

  1. Service rate / (Arrival rate + Service rate)
  2. Arrival rate / (Arrival rate + Service rate)
  3. Service rate / Arrival rate
  4. Arrival rate / Service rate
Question 8 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a general distribution and are served according to a general distribution?

  1. G/G/1
  2. G/G/2
  3. G/G/C
  4. G/G/∞
Question 9 Multiple Choice (Single Answer)

In a queuing system, what is the average number of customers in the system?

  1. Arrival rate / (Arrival rate - Service rate)
  2. Service rate / (Service rate - Arrival rate)
  3. Arrival rate / (Arrival rate + Service rate)
  4. Service rate / (Service rate + Arrival rate)
Question 10 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a deterministic distribution?

  1. M/D/1
  2. M/D/2
  3. M/D/C
  4. M/D/∞
Question 11 Multiple Choice (Single Answer)

In a queuing system, what is the probability that a customer will have to wait more than a certain amount of time before being served?

  1. 1 - (Service rate / Arrival rate)
  2. 1 - (Arrival rate / Service rate)
  3. 1 - (Arrival rate / (Arrival rate + Service rate))
  4. 1 - (Service rate / (Service rate + Arrival rate))
Question 12 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a hyperexponential distribution?

  1. M/H/1
  2. M/H/2
  3. M/H/C
  4. M/H/∞
Question 13 Multiple Choice (Single Answer)

In a queuing system, what is the average time a customer spends waiting in the queue?

  1. Arrival rate / (Arrival rate - Service rate)
  2. Service rate / (Service rate - Arrival rate)
  3. Arrival rate / (Arrival rate + Service rate)
  4. Service rate / (Service rate + Arrival rate)
Question 14 Multiple Choice (Single Answer)

Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a Pareto distribution?

  1. M/Pa/1
  2. M/Pa/2
  3. M/Pa/C
  4. M/Pa/∞
Question 15 Multiple Choice (Single Answer)

In a queuing system, what is the probability that a customer will be served within a certain amount of time?

  1. 1 - (Arrival rate / Service rate)
  2. 1 - (Service rate / Arrival rate)
  3. 1 - (Arrival rate / (Arrival rate + Service rate))
  4. 1 - (Service rate / (Service rate + Arrival rate))