The paper derives closed-form phase-type formulas for blocking and idle-time cdfs in a three-station tandem queue by converting the governing integral equations into linear algebra.
Generalizations of the Pollaczek -Khinchin integral equation in the theory of queues,
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Matrix-analytic solution of system of integral equations in three tandem servers
The paper derives closed-form phase-type formulas for blocking and idle-time cdfs in a three-station tandem queue by converting the governing integral equations into linear algebra.