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• W1991083263 abstract "We analyze a second order, linear, elliptic PDE with mixed boundary conditions. This problem arose as a limiting case of a Markov‐modulated queueing model for data handling switches in communications networks. We use singular perturbation methods to analyze the problem. In particular we use the ray method to solve the PDE in the limit where convection dominates diffusion. We show that there are both interior and boundary caustics, as well as a cusp point where two caustics meet, an internal layer, boundary layers, and a corner layer. Our analysis leads to approximate formulas for the queue length (or buffer content) distribution at the switch." @default.
• W1991083263 created "2016-06-24" @default.
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• W1991083263 date "2006-01-01" @default.
• W1991083263 modified "2023-09-23" @default.
• W1991083263 title "Ray Solution of a Singularly Perturbed Elliptic PDE with Applications to Communications Networks" @default.
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• W1991083263 doi "https://doi.org/10.1137/050632683" @default.
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