The formula to calculate the Average Inter Arrival Time (A) is:
\[ A = \frac{T}{N} \]
Where:
Let's say the total time (\( T \)) is 120 minutes and the number of arrivals (\( N \)) is 30. Using the formula:
\[ A = \frac{T}{N} = \frac{120}{30} = 4 \text{ minutes} \]
So, the Average Inter Arrival Time (\( A \)) is 4 minutes.
Average inter arrival time is a measure used in queuing theory and operations management to determine the average time interval between consecutive arrivals of entities (such as customers, data packets, or vehicles) at a service point or system. It is an important metric for analyzing and optimizing the performance of systems that handle arrivals and service processes. By understanding the average inter arrival time, businesses and service providers can better manage resources, reduce wait times, and improve overall efficiency.