% Markov chain transition matrix for simple queue

p = .05;
q = .08;

A = [ 1-p    q    0;    ...
       p   1-p-q  q;    ...
       0     p   1-q];

[v,lambda] = eig(A)

% normalize eigenvector:

vsum = sum(v(:,1));
percentages = v(:,1) ./ vsum