1. What is the primary goal of queuing analysis?
a) To eliminate all waiting times.
b) To optimize system performance by balancing service and waiting costs.
c) To predict customer arrival patterns accurately.
d) To ensure all customers are served immediately.
2. Which of the following is NOT a key characteristic of a queuing system?
a) Arrival process
b) Service process
c) Number of servers
d) Customer satisfaction ratings
3. What does the term "Little's Law" refer to in queuing theory?
a) The relationship between arrival rate, service rate, and queue length.
b) The average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.
c) The waiting time for a customer is proportional to the number of customers in the queue.
d) The system capacity is determined by the number of servers.
4. What type of queuing model assumes customers arrive according to a Poisson process?
a) M/M/1
b) M/D/1
c) G/G/1
d) D/D/1
5. In an M/M/1 queuing system, what does the "M" represent?
a) Markovian arrivals
b) Multi-server system
c) Mean service time
d) Minimum waiting time
6. What is the formula for calculating the average waiting time (Wq) in an M/M/1 queue?
a) Wq = λ/(μ(μ-λ))
b) Wq = λ/(μ+λ)
c) Wq = μ/(λ(μ-λ))
d) Wq = (μ-λ)/λ
7. Which of the following factors can influence the performance of a queuing system?
a) Arrival rate
b) Service rate
c) Number of servers
d) All of the above
8. What is a "bottleneck" in a queuing system?
a) The server with the highest service rate.
b) The server with the lowest service rate.
c) The point in the system where the longest queue forms.
d) The point where customers are most likely to leave the system.
9. How does queuing analysis help businesses make decisions?
a) By determining the optimal number of servers to minimize waiting times.
b) By identifying potential bottlenecks and improving system efficiency.
c) By forecasting customer demand and planning for future capacity.
d) All of the above.
10. What is the difference between a "queue" and a "waiting line" in queuing theory?
a) There is no difference, they are synonymous.
b) A queue is a specific type of waiting line.
c) A waiting line refers to the physical line, while a queue is the group of customers waiting.
d) A queue is a mathematical model, while a waiting line is the real-world phenomenon.
These questions cover fundamental concepts, types of models, important metrics, and applications of queuing analysis.