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Armin Fügenschuh(fuegenschuhzib.de) Abstract: We consider a nonlinear nonconvex network design problem that arises in the extension of natural gas transmission networks. Given is such network with active and passive components, that is, valves, compressors, pressure regulators (active) and pipelines (passive), and a desired amount of flow at certain specified entry and exit nodes of the network. Besides flow conservation constraints in the nodes the flow must fulfill nonlinear nonconvex pressure loss constraints on the arcs subject to potential values (i.e., pressure levels) in both end nodes of each arc. Assume that there does not exist a feasible flow that fulfills all physical constraints and meets the desired entry and exit amounts. Then a natural question is where to extend the network by adding pipes in the most economic way such that this flow becomes feasible. Answering this question is computationally demanding because of the difficult problem structure. We use mixedinteger nonlinear programming techniques that rely on an outer approximation of the overall problem, and a branching on decision variables. We formulate a new class of valid inequalities (or cutting planes) which reduce the overall solution time when added to the formulation. We demonstrate the computational merits of our approach on test instances. Keywords: Cutting Planes; MixedInteger Nonlinear Programming; Network Design Category 1: Integer Programming ((Mixed) Integer Nonlinear Programming ) Citation: Zuse Institute Technical Report ZR1306 urn:nbn:de:0297zib17771 Download: [PDF] Entry Submitted: 02/19/2013 Modify/Update this entry  
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