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.
Questions
In a queuing system, what is the average number of customers waiting in the queue?
- Arrival rate / (Arrival rate - Service rate)
- Service rate / (Service rate - Arrival rate)
- Arrival rate / (Arrival rate + Service rate)
- Service rate / (Service rate + Arrival rate)
Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to an exponential distribution?
- M/M/1
- M/M/2
- M/M/C
- M/M/∞
In a queuing system, what is the probability that a customer has to wait before being served?
- Arrival rate / Service rate
- Service rate / Arrival rate
- Arrival rate / (Arrival rate + Service rate)
- Service rate / (Service rate + Arrival rate)
Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a general distribution?
- M/G/1
- M/G/2
- M/G/C
- M/G/∞
In a queuing system, what is the average time a customer spends in the system?
- 1 / (Arrival rate - Service rate)
- 1 / (Service rate - Arrival rate)
- 1 / (Arrival rate + Service rate)
- 1 / (Service rate + Arrival rate)
Which queuing model assumes that customers arrive at the system according to a general distribution and are served according to an exponential distribution?
- G/M/1
- G/M/2
- G/M/C
- G/M/∞
In a queuing system, what is the probability that a customer will be served immediately upon arrival?
- Service rate / (Arrival rate + Service rate)
- Arrival rate / (Arrival rate + Service rate)
- Service rate / Arrival rate
- Arrival rate / Service rate
Which queuing model assumes that customers arrive at the system according to a general distribution and are served according to a general distribution?
- G/G/1
- G/G/2
- G/G/C
- G/G/∞
In a queuing system, what is the average number of customers in the system?
- Arrival rate / (Arrival rate - Service rate)
- Service rate / (Service rate - Arrival rate)
- Arrival rate / (Arrival rate + Service rate)
- Service rate / (Service rate + Arrival rate)
Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a deterministic distribution?
- M/D/1
- M/D/2
- M/D/C
- M/D/∞
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 - (Service rate / Arrival rate)
- 1 - (Arrival rate / Service rate)
- 1 - (Arrival rate / (Arrival rate + Service rate))
- 1 - (Service rate / (Service rate + Arrival rate))
Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a hyperexponential distribution?
- M/H/1
- M/H/2
- M/H/C
- M/H/∞
In a queuing system, what is the average time a customer spends waiting in the queue?
- Arrival rate / (Arrival rate - Service rate)
- Service rate / (Service rate - Arrival rate)
- Arrival rate / (Arrival rate + Service rate)
- Service rate / (Service rate + Arrival rate)
Which queuing model assumes that customers arrive at the system according to a Poisson distribution and are served according to a Pareto distribution?
- M/Pa/1
- M/Pa/2
- M/Pa/C
- M/Pa/∞
In a queuing system, what is the probability that a customer will be served within a certain amount of time?
- 1 - (Arrival rate / Service rate)
- 1 - (Service rate / Arrival rate)
- 1 - (Arrival rate / (Arrival rate + Service rate))
- 1 - (Service rate / (Service rate + Arrival rate))