Erlang Loss Formula Calculator
Calculate call blocking probability and system performance in telecommunications networks
Traffic Parameters
Advanced Options
Erlang B Results
Enter parameters to calculate system efficiency metrics.
Performance Breakdown
Detailed performance analysis will appear here.
📊 Common Erlang B Values
| Blocking Probability | 1% (0.01) | 2% (0.02) | 5% (0.05) | 10% (0.10) |
|---|---|---|---|---|
| 5 Channels | 1.36 | 1.66 | 2.22 | 2.88 |
| 10 Channels | 4.46 | 5.08 | 6.22 | 7.51 |
| 20 Channels | 12.03 | 13.19 | 15.25 | 17.51 |
| 50 Channels | 37.90 | 40.75 | 45.13 | 49.99 |
| 100 Channels | 84.06 | 88.62 | 96.10 | 104.0 |
Note: Table shows maximum offered traffic (in Erlangs) for given blocking probabilities.
📚 Erlang B Applications
Telecom Networks
Design telephone exchanges and trunk lines to handle expected call volumes with acceptable blocking rates.
Call Centers
Determine optimal number of agents to handle customer calls while maintaining service levels.
Cellular Systems
Calculate channel requirements for cellular base stations based on subscriber usage patterns.
Traffic Engineering
Model systems where users compete for limited resources with random arrival patterns.
Emergency Services
Design emergency call systems to ensure high availability during peak demand periods.
Queueing Systems
Analyze any system with Poisson arrivals and exponential service times with no queueing.
Note: This calculator uses the Erlang B formula which assumes Poisson arrivals, exponential service times, and no queuing. Real-world systems may require adjustments for more complex scenarios.