Erlang B continuation

Evaluates Erlang B formula for non-integer number of servers.

Version 1.2.0.0 (1.18 KB)
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26 Jun 2012

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For some applications, such as Hayward's approximation, it is necessary to evaluate the Erlang B formula for a non-integer number of servers. The function in this file was designed with stability in mind and has been tested for a wide range of values (see screenshot).

erlang(A,k) calcuates the blocking probability for an M/M/k/k queue with A Erlangs of offered traffic and k servers.

Reference:
Jagerman, D. L. "Methods in Traffic Calculations." AT&T Bell Laboratories Technical Journal, 1984, 63(7), 1283-1310

Cite As

Yin Chi (2026). Erlang B continuation (https://www.mathworks.com/matlabcentral/fileexchange/37279-erlang-b-continuation), MATLAB Central File Exchange. Retrieved .

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
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Version Published Release Notes
1.2.0.0

Added missing legend to the screenshot.
1.0.0.0