Erlang B Formula
The Erlang B formula determines the probability of packet loss or delay if blocked calls are aborted.
The blocking probability depends on the traffic volume and the number of servers.
Formula
![QuantityVariable[Subscript["P", "b"], "Unitless"] == QuantityVariable["E", "TelecommunicationsTraffic"]^QuantityVariable["m", "Unitless"]/(E^QuantityVariable["E", "TelecommunicationsTraffic"]*Gamma[1 + QuantityVariable["m", "Unitless"], QuantityVariable["E", "TelecommunicationsTraffic"]])](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/c7d/c7d1a869-fbf1-4c0b-95b9-48d862897c70/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| Pb | blocking probability | "Unitless" |
| E | traffic volume | "TelecommunicationsTraffic" |
| m | number of servers | "Unitless" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Erlang B Formula"]](images/c7d/c7d1a869-fbf1-4c0b-95b9-48d862897c70-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Erlang B Formula"]]](images/c7d/c7d1a869-fbf1-4c0b-95b9-48d862897c70-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[ResourceObject["Erlang B Formula"], {QuantityVariable[
\!\(\*SubscriptBox[\("P"\), \("b"\)]\),"Unitless"] ->
0.015384615384615385`, QuantityVariable["m","Unitless"] -> 4}]](images/c7d/c7d1a869-fbf1-4c0b-95b9-48d862897c70-io-3-i.en.gif){kind=small} |
| Out[3]= |  |