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@parsiad parsiad released this 31 Oct 03:30
v1.0
8f736aa

fast-engset

Warning: This is a legacy release (for MATLAB/GNU Octave users) that is now unmaintained. Please consider using the Python version (see https://github.com/parsiad/fast-engset/releases for the latest releases), which is actively maintained.

MATLAB/GNU Octave code to compute the blocking probability P in the Engset model:

                         m                              
         binom{N - 1}{m}A                            E        
P = --------------------------    where    A = -------------.
     __ m                    X                  N - E(1 - P)   
    \        binom{N - 1}{X}A                           
    /__ X = 0

N denotes the number of sources, m the number of servers, and E the offered traffic from all sources.

E is usually given by E = lambda mu, where lambda is the arrival rate of all sources and mu is the mean service time for a given request.

Warning: Certain texts use instead the normalized offered traffic, which is instead defined as E = lambda mu / N.

m = 5  % Number of servers
N = 10 % Number of sources
E = 2  % Total offered traffic from all sources

% Blocking probability
P = fast_engset(m, N, E)
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