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Operations Research Queuing Theory

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Introduction to Queuing Theory

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1. Question 1: What is the primary objective of queuing theory in operations research?
A) To minimize the time spent on decision-making B) To analyze and optimize waiting lines or queues C) To maximize the cost efficiency of a production process D) To ensure that no waiting occurs in any system
2. Question 2: In a single-server queuing system (M/M/1), what do the letters "M/M/1" represent?
A) Multi-server, multi-queue, one entry point B) Memoryless arrivals, memoryless service time, one server C) Markov arrivals, Markov departures, one system failure D) Multiple arrivals, mixed service times, one bottleneck
3. Question 3: What is the arrival rate (λ) in a queuing system?
A) The average number of customers arriving at the system per time unit B) The average time it takes to serve a customer C) The total number of customers waiting in line D) The probability of system failure
4. Question 4: In a queuing system, the traffic intensity (ρ) is defined as:
A) The ratio of the service rate to the arrival rate B) The product of the arrival rate and the service time C) The ratio of the arrival rate to the service rate D) The difference between the arrival rate and the service rate
5. Question 5: In a steady-state queuing system, what does it mean when traffic intensity (ρ) = 1?
A) The system is underutilized, and there are no waiting times B) The system is perfectly balanced, with the arrival rate equal to the service rate C) The system is unstable, with an infinite number of customers in the queue D) The service rate exceeds the arrival rate, leading to no queues