TY - JOUR A1 - Hante, Falk A1 - Schmidt, Martin T1 - Complementarity-Based Nonlinear Programming Techniques for Optimal Mixing in Gas Networks T2 - EURO Journal on Computational Optimization N2 - We consider nonlinear and nonsmooth mixing aspects in gas transport optimization problems. As mixed-integer reformulations of pooling-type mixing models already render small-size instances computationally intractable, we investigate the applicability of smooth nonlinear programming techniques for equivalent complementarity-based reformulations. Based on recent results for remodeling piecewise affine constraints using an inverse parametric quadratic programming approach, we show that classical stationarity concepts are meaningful for the resulting complementarity-based reformulation of the mixing equations. Further, we investigate in a numerical study the performance of this reformulation compared to a more compact complementarity-based one that does not feature such beneficial regularity properties. All computations are performed on publicly available data of real-world size problem instances from steady-state gas transport. KW - Gas transport networks KW - Mixing KW - Inverse parametric quadratic programming KW - Complementarity constraints KW - MPCC Y1 - 2017 UR - https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/169 IS - 7(3) SP - 299 EP - 323 ER -