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Boundary-value problems(BVP)can go back to B.Riemann [1] and D.Hilbert [2] in 1857.Applications in queueing theory started in 1970's.The solution to a BVP is usually in the form of singular integral.Explicit evaluation(with a closed-form solution in terms of given system parameters)of such a singular integral is rarely possible even for some simple systems.While a formal solution to the boundary-value problem exists,it is of interest to see how explicit solutions can be obtained through a BVP.In this talk,we summarize the efforts in the literature and by ourselves.Examples include tandem queueuing systems; Jackson open networks; two-demand models; and symmetric join-the-shortest-queue models.