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UBC Theses and Dissertations

Reparameterization of special contours for boundary value problems in queueing systems Epema, Cody


We present several tests to detect whether a simple reparameterization of the contour is possible for the Riemann-Hilbert Boundary Value Problem associated with the stationary distribution of a two dimensional queueing system. We cover several special cases, some of which have been previously covered using different methods, and present an expansion on the existing theory to the case of elliptical contours. Two fast heuristic tests are also presented. Additionally, we construct a formal BVP solution for queueing systems with homogeneous fundamental equations.

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Attribution 2.5 Canada