TY - JOUR
A1 - Humpola, Jesco
A1 - Lehmann, Thomas
A1 - Fügenschuh, Armin
T1 - A primal heuristic for optimizing the topology of gas networks based on dual information
T2 - EURO Journal on Computational Optimization
N2 - We present a novel heuristic to identify feasible solutions of a mixed-integer nonlinear programming problem arising in natural gas transportation: the selection of new pipelines to enhance the network's capacity to a desired level in a cost-efficient way. We solve this problem in a linear programming based branch-and-cut approach, where we deal with the nonlinearities by linear outer approximation and spatial branching. At certain nodes of the branching tree, we compute a KKT point of a nonlinear relaxation. Based on the information from the KKT point we alter some of the binary variables in a locally promising way exploiting our problem-specific structure. On a test set of real-world instances, we are able to increase the chance of identifying feasible solutions by some order of magnitude compared to standard MINLP heuristics that are already built in the general-purpose MINLP solver SCIP.
Y1 - 2015
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/5249
VL - 3
IS - 1
SP - 53
EP - 78
ER -