% Solve server queue probability:

% Psat is the probability that starting empty, a que (buffer)
% of size tau*Qlimit would overflow in tau seconds.

tau = .010;
lambda = 1000;
Qlimit = 1500;  % per second

P = 0;
for k=0:tau*Qlimit
	P = P + exp(-lambda*tau)*(lambda*tau)^k/factorial(k);
%	P = P + poisspdf(k,tau*lambda);    % This is the matlab built in fucntion
end
Psat = 1-P