To calculate the “Jain’s fairness index” of a network, you can follow these steps:
1.) First you should know the resources (bandwidth) allocated to each path of your network. For my example sample network, I took these paths:
% Define the resources (bandwidths) for each edge in the paths
resources_path1 = [10, 15, 20, 25]; % Path 1: A -> B -> C -> D -> E
resources_path2 = [30, 25]; % Path 2: A -> D -> E
2.) Then you calculate the “Jain’s fairness index” using the below formula, where (n) is the number of resources and (x_i) is the resource value of each segment.
% Function to calculate Jain's fairness index
function fairness_index = calculate_jains_index(resources)
n = length(resources);
sum_resources = sum(resources);
sum_squares = sum(resources.^2);
fairness_index = (sum_resources^2) / (n * sum_squares);
end
3.) Then using the above function, calculate “Jain’s fairness index” for each path.
After following the above steps, I got the “Jain’s fairness index” values for both to be:
You can refer to these documentation links for more help:
for creating “user-defined functions” like "jain's fairness index" - https://www.mathworks.com/help/releases/R2021a/matlab/matlab_prog/create-functions-in-files.html
