Use this calculator to determine the average number of items (L) in a queuing system given the average arrival rate (λ) and the average time an item spends in the system (W). This tool is essential for operations managers looking to optimize efficiency.
All calculations are based on Little's Law as outlined in operational management literature. Visit Benchmark Six Sigma for more information. All calculations are strictly based on the formulas and data provided by this source.
Little's Law: \( L = \lambda \times W \)
Little's Law is a theorem in queuing theory that relates the average number of items in a queuing system to the average arrival rate and average time an item spends in the system.
This calculator helps operations managers and analysts determine key metrics for optimizing business processes and resource allocation.
Little's Law is used in manufacturing, call centers, and IT system performance analysis.
Yes, it applies universally to stable systems where average arrival and departure rates are consistent over time.
The system must be stable, with the arrival rate equal to the departure rate on average.