Grübel, Julia; Krug, Richard; Schmidt, Martin; Wollner, Winnifried A successive linear relaxation method for MINLPs with multivariate Lipschitz continuous nonlinearities. (English) Zbl 07739329 J. Optim. Theory Appl. 198, No. 3, 1077-1117 (2023). MSC: 90C11 90C26 90C30 90C90 PDFBibTeX XMLCite \textit{J. Grübel} et al., J. Optim. Theory Appl. 198, No. 3, 1077--1117 (2023; Zbl 07739329) Full Text: DOI arXiv
Beck, Yasmine; Ljubić, Ivana; Schmidt, Martin A survey on bilevel optimization under uncertainty. (English) Zbl 07737877 Eur. J. Oper. Res. 311, No. 2, 401-426 (2023). MSC: 90Bxx PDFBibTeX XMLCite \textit{Y. Beck} et al., Eur. J. Oper. Res. 311, No. 2, 401--426 (2023; Zbl 07737877) Full Text: DOI
Schmidt, Martin; Sirvent, Mathias; Wollner, Winnifried The cost of not knowing enough: mixed-integer optimization with implicit Lipschitz nonlinearities. (English) Zbl 1492.90095 Optim. Lett. 16, No. 5, 1355-1372 (2022). MSC: 90C11 90C30 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Optim. Lett. 16, No. 5, 1355--1372 (2022; Zbl 1492.90095) Full Text: DOI
Labbé, Martine; Plein, Fränk; Schmidt, Martin; Thürauf, Johannes Deciding feasibility of a booking in the European gas market on a cycle is in P for the case of passive networks. (English) Zbl 07775323 Networks 78, No. 2, 128-152 (2021). MSC: 91B74 PDFBibTeX XMLCite \textit{M. Labbé} et al., Networks 78, No. 2, 128--152 (2021; Zbl 07775323) Full Text: DOI OA License
Schmidt, Martin; Hiller, Benjamin; Koch, Thorsten; Pfetsch, Marc E.; Geissler, Björn; Henrion, René; Joormann, Imke; Martin, Alexander; Morsi, Antonio; Römisch, Werner; Schewe, Lars; Schultz, Rüdiger; Steinbach, Marc C. Capacity evaluation for large-scale gas networks. (English) Zbl 1495.00073 Bock, Hans Georg (ed.) et al., German success stories in industrial mathematics. Cham: Springer. Math. Ind. 35, 23-28 (2021). MSC: 00A69 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Math. Ind. 35, 23--28 (2021; Zbl 1495.00073) Full Text: DOI
Gatzert, Nadine; Martin, Alexander; Schmidt, Martin; Seith, Benjamin; Vogl, Nikolai Portfolio optimization with irreversible long-term investments in renewable energy under policy risk: a mixed-integer multistage stochastic model and a moving-horizon approach. (English) Zbl 1487.91116 Eur. J. Oper. Res. 290, No. 2, 734-748 (2021). MSC: 91G10 90C11 90C15 PDFBibTeX XMLCite \textit{N. Gatzert} et al., Eur. J. Oper. Res. 290, No. 2, 734--748 (2021; Zbl 1487.91116) Full Text: DOI
Schewe, Lars; Schmidt, Martin; Thürauf, Johannes Computing technical capacities in the European entry-exit gas market is NP-hard. (English) Zbl 1451.90032 Ann. Oper. Res. 295, No. 1, 337-362 (2020). MSC: 90B10 90C35 90C60 90C90 PDFBibTeX XMLCite \textit{L. Schewe} et al., Ann. Oper. Res. 295, No. 1, 337--362 (2020; Zbl 1451.90032) Full Text: DOI
Schewe, Lars; Schmidt, Martin; Thürauf, Johannes Structural properties of feasible bookings in the European entry-exit gas market system. (English) Zbl 1442.90019 4OR 18, No. 2, 197-218 (2020). MSC: 90B06 90B10 90C11 90C05 90C30 PDFBibTeX XMLCite \textit{L. Schewe} et al., 4OR 18, No. 2, 197--218 (2020; Zbl 1442.90019) Full Text: DOI
Labbé, Martine; Plein, Fränk; Schmidt, Martin Bookings in the European gas market: characterisation of feasibility and computational complexity results. (English) Zbl 1433.90030 Optim. Eng. 21, No. 1, 305-334 (2020). MSC: 90B06 90B10 90C30 90C35 90C39 90C90 PDFBibTeX XMLCite \textit{M. Labbé} et al., Optim. Eng. 21, No. 1, 305--334 (2020; Zbl 1433.90030) Full Text: DOI Link
Hante, Falk M.; Schmidt, Martin Complementarity-based nonlinear programming techniques for optimal mixing in gas networks. (English) Zbl 1431.90017 EURO J. Comput. Optim. 7, No. 3, 299-323 (2019). MSC: 90B06 90C20 90C11 90C30 PDFBibTeX XMLCite \textit{F. M. Hante} and \textit{M. Schmidt}, EURO J. Comput. Optim. 7, No. 3, 299--323 (2019; Zbl 1431.90017) Full Text: DOI
Schmidt, Martin; Sirvent, Mathias; Wollner, Winnifried A decomposition method for MINLPs with Lipschitz continuous nonlinearities. (English) Zbl 1426.90053 Math. Program. 178, No. 1-2 (A), 449-483 (2019). MSC: 90B06 90B10 90C11 90C30 90C90 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Math. Program. 178, No. 1--2 (A), 449--483 (2019; Zbl 1426.90053) Full Text: DOI
Grimm, Veronika; Schewe, Lars; Schmidt, Martin; Zöttl, Gregor A multilevel model of the European entry-exit gas market. (English) Zbl 1415.90012 Math. Methods Oper. Res. 89, No. 2, 223-255 (2019). MSC: 90B10 90C11 91B55 90C30 PDFBibTeX XMLCite \textit{V. Grimm} et al., Math. Methods Oper. Res. 89, No. 2, 223--255 (2019; Zbl 1415.90012) Full Text: DOI
Grimm, Veronika; Grübel, Julia; Schewe, Lars; Schmidt, Martin; Zöttl, Gregor Nonconvex equilibrium models for gas market analysis: failure of standard techniques and alternative modeling approaches. (English) Zbl 1403.90201 Eur. J. Oper. Res. 273, No. 3, 1097-1108 (2019). MSC: 90B10 90C33 90C26 PDFBibTeX XMLCite \textit{V. Grimm} et al., Eur. J. Oper. Res. 273, No. 3, 1097--1108 (2019; Zbl 1403.90201) Full Text: DOI
Geißler, Björn; Morsi, Antonio; Schewe, Lars; Schmidt, Martin Solving highly detailed gas transport MINLPs: block separability and penalty alternating direction methods. (English) Zbl 1446.90053 INFORMS J. Comput. 30, No. 2, 309-323 (2018). MSC: 90B06 90C30 90C26 90C11 PDFBibTeX XMLCite \textit{B. Geißler} et al., INFORMS J. Comput. 30, No. 2, 309--323 (2018; Zbl 1446.90053) Full Text: DOI Link
Mehrmann, Volker; Schmidt, Martin; Stolwijk, Jeroen J. Model and discretization error adaptivity within stationary gas transport optimization. (English) Zbl 1406.35254 Vietnam J. Math. 46, No. 4, 779-801 (2018). MSC: 35Q31 65G99 65L70 90C30 93C40 76N15 PDFBibTeX XMLCite \textit{V. Mehrmann} et al., Vietnam J. Math. 46, No. 4, 779--801 (2018; Zbl 1406.35254) Full Text: DOI arXiv
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. (English) Zbl 1391.49040 Comput. Optim. Appl. 70, No. 1, 267-294 (2018). MSC: 49K20 49J15 49J20 76B75 90C11 90C35 PDFBibTeX XMLCite \textit{M. Gugat} et al., Comput. Optim. Appl. 70, No. 1, 267--294 (2018; Zbl 1391.49040) Full Text: DOI
Hante, Falk M.; Leugering, Günter; Martin, Alexander; Schewe, Lars; Schmidt, Martin Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: from modeling to industrial applications. (English) Zbl 1396.76078 Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 77-122 (2017). MSC: 76N25 PDFBibTeX XMLCite \textit{F. M. Hante} et al., in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 77--122 (2017; Zbl 1396.76078) Full Text: DOI
Schmidt, Martin; Steinbach, Marc C.; Willert, Bernhard M. High detail stationary optimization models for gas networks: validation and results. (English) Zbl 1364.90067 Optim. Eng. 17, No. 2, 437-472 (2016). MSC: 90B10 90C30 90C06 90C90 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Optim. Eng. 17, No. 2, 437--472 (2016; Zbl 1364.90067) Full Text: DOI
Rose, Daniel; Schmidt, Martin; Steinbach, Marc C.; Willert, Bernhard M. Computational optimization of gas compressor stations: MINLP models versus continuous reformulations. (English) Zbl 1354.90008 Math. Methods Oper. Res. 83, No. 3, 409-444 (2016). MSC: 90-08 90C11 90C30 90C33 90C90 PDFBibTeX XMLCite \textit{D. Rose} et al., Math. Methods Oper. Res. 83, No. 3, 409--444 (2016; Zbl 1354.90008) Full Text: DOI Link
Schmidt, Martin; Steinbach, Marc C.; Willert, Bernhard M. High detail stationary optimization models for gas networks. (English) Zbl 1364.90066 Optim. Eng. 16, No. 1, 131-164 (2015). MSC: 90B10 90C06 90C30 90C90 90C35 PDFBibTeX XMLCite \textit{M. Schmidt} et al., Optim. Eng. 16, No. 1, 131--164 (2015; Zbl 1364.90066) Full Text: DOI
Schmidt, Martin An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness. (English) Zbl 1329.90144 EURO J. Comput. Optim. 3, No. 4, 309-348 (2015). MSC: 90C30 90C51 90C90 90C35 90C56 90B10 PDFBibTeX XMLCite \textit{M. Schmidt}, EURO J. Comput. Optim. 3, No. 4, 309--348 (2015; Zbl 1329.90144) Full Text: DOI