Free Erlang traffic calculators

The world's first online Erlang traffic calculators

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Erlangs and bandwidth calculator
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Erlangs and VoIP Bandwidth Calculator

Erlangs and VoIP Bandwidth Calculator
Return to calculator index
Coding algorithm
Packet duration
BHT (Erl.)
B/W (kbps)
Voice paths (read-only):  
A windows version of this calculator
is available for only $49.
Click here for more information

Brief instructions

Here is a brief introduction to the calculator.  For more detailed information, press the Help Button. For a running record of the results calculated, press the Results button. Both these functions open new browser windows on your desktop.
  • This calculator can be used to estimate the bandwidth required to transport a known busy hour traffic figure through an IP based network.   Reverse calculations are also possible.  These estimate traffic that can be offered to an IP network if the available bandwidth is known.  The calculator is based on the Erlang B traffic model.
  • Before a calculation can be performed, details of the voice compression scheme must be entered into the first two areas of the calculator.
    • Use the first drop down box to select the CODEC being used.   CODECs convert analogue voice signals into data streams through sampling and quantisation.  CODECs vary in their quality and delay characteristics and, although there is not yet an agreed standard, G.723.1 and G729A are the most common CODECs used for Internet voice transmission.
    • The frequency at which the voice packets are transmitted have a significant bearing on the bandwidth required.  The selection of the packet duration (and therefore the packet frequency) is a compromise between bandwidth and quality.  Lower durations require more bandwidth.  However, if the duration is increased, the delay of the system increases, and it becomes more susceptible to packet loss; 20ms is a typical figure.
  • The three variables involved in these calculations are Busy Hour Traffic (BHT), Blocking and Bandwidth:
    • Busy Hour Traffic (in Erlangs) is the number of hours of call traffic there are during the busiest hour of operation of a telephone system.
    • Blocking is the failure of calls due to an insufficient number of lines being available.  E.g. 0.03 mean 3 calls blocked per 100 calls attempted.
    • Bandwidth is the amount of bandwidth in kbps required through an IP based network to carry the traffic.
  • If you know two of the figures, you can work out the third as follows:
    • Click on the Unknown radio button representing the unknown variable.
    • Enter the 2 known figures into their edit boxes.
    • Press Calc. and the third figure will be calculated and displayed in the remaining edit box.
  • The number of discrete voice paths which the network needs to be able to simultaneously transport is shown in the Voice paths box; this box is only used to display the intermediate result, and is not used for entry.
  • For example, to work out how much bandwidth is required to transmit 45 Erlangs of busy hour traffic through an IP network using the G.723.1 (6.4kbps) coding scheme with 30ms packet duration, follow these steps:
    • Use the Coding algorithm drop down list to select G.723.1 (MP-MLQ) 6.4 kbps compression.
    • 30ms should automatically be selected as the Packet duration.  With this coding scheme, lower packet durations are not possible.
    • Ensure that the Unknown radio button in the B/W (bandwidth) area is selected.
    • Enter 45 into the edit box within the B.H.T. area.
    • Press the Calc. button.  After a short time, 990 should appear in the Bandwidth edit box, indicating that a bandwidth if 990kbps would be required to carry the 58 voice paths required.

Windows version of this calculator

A Windows version of this calculator is available.  VoIP Calculator is a easy to use application that provides both a Lines and IP Bandwidth Calculator and a Erlangs and IP Bandwidth Calculator.

The calculators work on all versions of Windows are available for 49 US Dollars for immediate download.

VoIP Calculator main window, showing the Erlangs to IP Bandwidth calculator
VoIP Calculator main window, showing the Erlangs to IP Bandwidth calculator

Although based on our online calculators, VoIP Calculator additionally boasts the following Voice over IP features:

  • RTP header compression (cRTP) analysis
  • Erlangs and CCS traffic units
  • Calculations up to 25,000 Erlangs and 20,000 Mbps.
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Last modified: 16 June 2017

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