Erlang B Calculator

Calculate blocking probability using the Erlang B formula for telecommunications and call center systems.

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About This Tool

The Erlang B Calculator is a specialized tool for telecommunications engineers and network planners to determine the blocking probability in loss systems. Based on the Erlang B formula, this calculator helps you understand how many servers are needed to handle a given traffic load while maintaining acceptable blocking rates. Simply enter the traffic intensity (in Erlangs) and the number of servers, and get instant results including blocking probability, carried traffic, and lost traffic. This is essential for designing efficient telephone networks, call centers, and other queuing systems.

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How to Use

Enter the traffic intensity (A) in Erlangs (must be a positive number)
Enter the number of servers (N) as a positive integer
Click the 'Calculate Blocking Probability' button
View the results including blocking probability, carried traffic, and lost traffic
Adjust values and recalculate as needed

Frequently Asked Questions

Find Quick Answers

What is the Erlang B formula?

The Erlang B formula calculates the probability that all servers are busy in a loss system (calls are blocked when no server is available). It's used in telecommunications to design systems with acceptable blocking rates.

What units should I use for traffic intensity?

Traffic intensity should be in Erlangs, which represents the average number of concurrent calls. For example, if you expect 10 calls per hour with an average duration of 3 minutes, the traffic intensity would be (10 calls/hour * 3 minutes/call) / 60 minutes = 0.5 Erlangs.

What is a typical acceptable blocking probability?

In telecommunications, blocking probabilities of 1% (0.01) or lower are often considered acceptable, but this depends on the specific application and service level requirements.

Can I use this for call center planning?

Yes, the Erlang B formula is commonly used in call center capacity planning to determine how many agents are needed to handle expected call volumes with acceptable abandonment rates.

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