Little's Law Calculator
Little's Law Calculator
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.
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Data Source and Methodology
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.
The Formula Explained
Little's Law: \( L = \lambda \times W \)
Glossary of Variables
- Arrival Rate (λ): The average number of items entering the system per time unit.
- Average Time in System (W): The average time an item spends in the system.
- Average Number of Items (L): The average number of items in the system at any given time.
Frequently Asked Questions (FAQ)
What is Little's Law?
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.
How is this calculator useful?
This calculator helps operations managers and analysts determine key metrics for optimizing business processes and resource allocation.
What are the practical applications of Little's Law?
Little's Law is used in manufacturing, call centers, and IT system performance analysis.
Can Little's Law be applied to any queuing system?
Yes, it applies universally to stable systems where average arrival and departure rates are consistent over time.
What assumptions does Little's Law make?
The system must be stable, with the arrival rate equal to the departure rate on average.
Formula (LaTeX) + variables + units
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- Benchmark Six Sigma — benchmarksixsigma.com · Accessed 2026-01-19
https://www.benchmarksixsigma.com/littles-law/
Last code update: 2026-01-19
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