Final answer:
Little's Law is a concept in queueing theory that relates the average number of items in a system to the arrival rate of items and the average time they spend in the system. It can be applied to real-life examples such as a fast-food restaurant or a call center.
Step-by-step explanation:
Little's Law is a concept in queueing theory that relates the average number of items in a system to the arrival rate of items and the average time they spend in the system. A real-life example of Little's Law can be seen in a fast-food restaurant. Imagine a restaurant where customers arrive at a rate of 10 customers per hour (arrival rate) and each customer spends an average of 5 minutes in the restaurant (average time spent in the system). Little's Law states that the average number of customers in the restaurant at a given time would be equal to the arrival rate multiplied by the average time spent in the restaurant, which in this case would be 10 customers per hour * 5 minutes = 50 customers.
Another example is a call center. If the call center receives an average of 20 calls per hour (arrival rate) and each call takes an average of 4 minutes to be resolved (average time spent in the system), Little's Law can be used to calculate that there will be an average of 80 calls in the call center at any given time.
Little's Law can be applied to various scenarios involving queues or systems with input and output processes, providing insights into the relationship between arrival rates, processing times, and the number of items in the system.