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Queueing Theory Practice Questions

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Questions and Answers

Which of the following scenarios would LEAST likely benefit from the application of queueing theory?

Determining the optimal number of checkout lanes in a supermarket to minimize customer wait times.
Forecasting the demand for a newly released smartphone to optimize inventory levels. (correct)
Scheduling preventative maintenance tasks for a fleet of delivery trucks to minimize downtime.
Analyzing the flow of patients in an emergency room to improve resource allocation.

Consider a single-server queueing system where the arrival rate is 10 customers per hour and the service rate is 15 customers per hour. What is the probability that the system is empty?

0.33 (correct)
0.75
0.50
0.67

A call center receives an average of 50 calls per hour. The average service time for each call is 5 minutes. Assuming an M/M/1 queueing model, what is the average number of customers in the system?

2.5
6.67
5.0 (correct)
3.33

In an M/M/c queueing system, what does 'c' represent?

<p>The number of servers. (D)</p> Signup and view all the answers

Which of the following is a key assumption of the basic M/M/1 queueing model?

<p>Customers are served in a last-come, first-served order. (D)</p> Signup and view all the answers

Flashcards

Queueing theory is LEAST useful for?

Assessing new product demand via forecasting is typically not improved by queueing theory.

Probability system is empty?

The probability the system is empty is 1 - (arrival rate / service rate).

Average customers in system?

The average number of customers in the system is calculated using: L = λ / (μ - λ). The average number of customers in the system is 5.0.

What does 'c' mean in M/M/c?

'c' represents the number of servers available in the queueing system.

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M/M/1 service order?

The basic M/M/1 queueing model operates under FIFO (First In, First Out).