RESPONSE-TIME DISTRIBUTIONS IN TANDEM G-NETWORKS

The Laplace transform of the probability distribution of the end-to-en d delay in tandem networks is obtained where the first and/or second q ueue are G-queues, i.e. they have negative arrivals. For the most gene ral case the method is based on the solution of a boundary value probl em bn a closed contour in the complex plane, which itself reduces to t he solution of a Fredholm integral equation of the second kind. We als o consider the dependence or independence of the sojourn times at each queue in the two special cases where only one of the queues is a G-qu eue, the other having no negative arrivals.