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Armin Fügenschuh(fuegenschuhhsuhh.de) Abstract: We consider a nonlinear nonconvex network flow problem that arises, for example, in natural gas or water 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. The problem is how to numerically compute this flow and pressures. We review an existing approach of Maugis (1977) and extend it to the case of networks with active elements (for example, compressors). We further examine different ways of relaxations for the nonlinear network flow model. We compare different approaches based on nonlinear optimization numerically on a set of test instances. Keywords: MixedInteger Nonlinear Programming; Nonlinear Network Flow; Relaxations Category 1: Applications  Science and Engineering Category 2: Integer Programming ((Mixed) Integer Nonlinear Programming ) Category 3: Network Optimization Citation: ZIB Report ZR1331, Zuse Institute Berlin, Takustraße 7, 14195 Berlin, Germany, July 2013. Online available at URL http://opus4.kobv.de/opus4zib/frontdoor/index/index/docId/1885 Download: [PDF] Entry Submitted: 07/07/2013 Modify/Update this entry  
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