1885
eng
reportzib
0
2013-07-01
2013-07-01
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A Unified View on Relaxations for a Nonlinear Network Flow Problem
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.
urn:nbn:de:0297-zib-18857
Armin Fügenschuh
Armin Fügenschuh
Jesco Humpola
ZIB-Report
13-31
eng
uncontrolled
Nonlinear Network Flow
eng
uncontrolled
Mixed-Integer Nonlinear Programming
eng
uncontrolled
Relaxations
OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
Mathematical Optimization
Fügenschuh, Armin
MODAL-GasLab
ForNe
MODAL-Gesamt
https://opus4.kobv.de/opus4-zib/files/1885/ZR-13-31.pdf