📄 mmcfindp0.m
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%mmcfindp0(lambda,mu,c)
% This function finds the probability all machines are working
% for an M/M/c queueing system.
function out = mmcfindp0(lambda,mu,c)
p = lambda/(mu*c);
pc = lambda/mu;
firstsum = 0;
for i = 0:c-1
term = (pc^i)/(factorial(i));
firstsum = firstsum + term;
end
total = firstsum + ((pc)^c)/(factorial(c)*(1-p));
p0 = total^-1;
out = p0;
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