Publications

    Journal articles

  • Burtscheidt, Johanna; Claus, Matthias; Conti, Sergio; Rumpf, Martin; Sassen, Josua; Schultz, Rüdiger
    A pessimistic bilevel stochastic problem for elastic shape optimization
    In: Mathematical Programming: Series A, Series B, Vol. 198, 2023, Nr. 2, pp. 1125 – 1151
    DOI (Open Access)
  • Adelhütte, Dennis; Aßmann, Denis; Grandòn, Tatiana Gonzàlez; Gugat, Martin; Heitsch, Holger; Henrion, René; Liers, Frauke; Nitsche, Sabrina; Schultz, Rüdiger; Stingl, Michael; Wintergerst, David
    Joint Model of Probabilistic-Robust (Probust) Constraints Applied to Gas Network Optimization
    In: Vietnam Journal of Mathematics, Vol. 49, 2021, Nr. 4, pp. 1097 – 1130
    DOI (Open Access)
  • Gugat, Martin; Schultz, Rüdiger; Schuster, Michael
    Convexity and starshapedness of feasible sets in stationary flow networks
    In: Networks and Heterogeneous Media: An Applied Mathematics Journal (NHM), Vol. 15, 2020, Nr. 2, pp. 171 – 195
    DOI, Online Full Text (Open Access)
  • Claus, Matthias; Schultz, Rüdiger; Spürkel, Kai; Wollenberg, Tobias
    On Risk-Averse Stochastic Semidefinite Programs with Continuous Recourse
    In: Vietnam Journal of Mathematics, Vol. 47, 2019, Nr. 4, pp. 865 – 879
    DOI, Online Full Text (Open Access)
  • Gugat, Martin; Schultz, Rüdiger
    Boundary feedback stabilization of the isothermal euler equations with uncertain boundary data
    In: SIAM Journal on Control and Optimization, Vol. 56, 2018, Nr. 2, pp. 1491 – 1507
    DOI, Online Full Text (Open Access)
  • Gugat, Martin; Schultz, Rüdiger; Wintergerst, David
    Networks of pipelines for gas with nonconstant compressibility factor : stationary states
    In: Computational and Applied Mathematics, Vol. 37, 2018, Nr. 2, pp. 1066 – 1097
    DOI
  • Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tolkes, Sascha
    Stochastic dominance constraints in elastic shape optimization
    In: SIAM Journal on Control and Optimization, Vol. 56, 2018, Nr. 4, pp. 3021 – 3034
    DOI, Online Full Text (Open Access)
  • Claus, Matthias; Schultz, Rüdiger; Spürkel, Kai
    Strong convexity in risk-averse stochastic programs with complete recourse
    In: Computational Management Science, Vol. 15, 2018, Nr. 3-4, pp. 411 – 429
    DOI
  • Morton, David P.; Romeijnders, Ward; Schultz, Rüdiger; Stougie, Leen
    The stochastic programming heritage of Maarten van der Vlerk
    In: Computational Management Science, Vol. 15, 2018, Nr. 3-4, pp. 319 – 323
    DOI, Online Full Text (Open Access)
  • Schultz, Rüdiger; Wollenberg, Tobias
    Unit commitment under uncertainty in AC transmission systems via risk averse semidefinite stochastic Programs
    In: RAIRO: Operations Research = Recherche Opérationnelle (RO), Vol. 51, 2017, Nr. 2, pp. 391 – 416
    DOI
  • Krätschmer, Volker; Claus, Matthias; Schultz, Rüdiger
    Weak continuity of risk functionals with applications to stochastic programming
    In: SIAM Journal on Optimization, Vol. 27, 2017, Nr. 1, pp. 91 – 109
    DOI, Online Full Text (Open Access)
  • Romeijnders, Ward; Klein Haneveld, Willem K.; van der Vlerk, Maarten H.; Schultz, Rüdiger
    A Convex Approximation for Two-Stage Mixed-Integer Recourse Models with a Uniform Error Bound
    In: SIAM Journal on Optimization, Vol. 26, 2016, Nr. 1, pp. 426 – 447
    DOI
  • Gotzes, Claudia; Heitsch, Holger; Henrion, René; Schultz, Rüdiger
    On the quantification of nomination feasibility in stationary gas networks with random load
    In: Mathematical Methods of Operations Research (ZOR), Vol. 84, 2016, Nr. 2, pp. 427 – 457
    DOI
  • Claus, Matthias; Schultz, Rüdiger
    Lipschitzian properties and stability of a class of first-order stochastic dominance constraints
    In: SIAM Journal on Optimization, Vol. 25, 2015, Nr. 1, pp. 396 – 415
    DOI
  • Pfetsch, Marc E.; Fügenschuh, Armin; Geißler, Björn; Geißler, Nina; Gollmer, Ralf; Hiller, Benjamin; Humpola, Jesco; Koch, Thorsten; Lehmann, Thomas; Martin, Alexander; Morsi, Antonio; Rövekamp, Jessica; Schewe, Lars; Schmidt, Martin; Schultz, Rüdiger; Schwarz, Robert; Schweiger, Jonas; Stangl, Claudia; Steinbach, Marc C.; Vigerske, Stefan; Willert, Bernhard M.
    Validation of nominations in gas network optimization : models, methods, and solutions
    In: Optimization Methods and Software, Vol. 30, 2015, Nr. 1, pp. 15 – 53
    DOI
  • Fügenschuh, Armin; Geißler, Björn; Gollmer, Ralf; Hayn, Christine; Henrion, René; Hiller, Benjamin; Humpola, Jesco; Koch, Thorsten; Lehmann, Thomas; Martin, Alexander; Mirkov, Radoslava; Morsi, Antonio; Rövekamp, Jessica; Schewe, Lars; Schmidt, Martin; Schultz, Rüdiger; Schwarz, Robert; Schweiger, Jonas; Stangl, Claudia; Steinbach, Marc C.; Willert, Bernhard M.
    Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets
    In: Energy Systems, Vol. 5, 2014, Nr. 3, pp. 449 – 473
    DOI
  • Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger
    Risk averse elastic shape optimization with parametrized fine scale geometry
    In: Mathematical Programming: Series A, Series B, Vol. 141, 2013, Nr. 1-2, pp. 383 – 403
    DOI
  • Schultz, Rüdiger
    Two-stage stochastic programs : Integer variables, dominance relations and PDE constraints
    In: Numerical Algebra, Control and Optimization (NACO), Vol. 2, 2012, Nr. 4, pp. 713 – 738
    DOI
  • Gollmer, Ralf; Gotzes, Uwe; Schultz, Rüdiger
    A note on second-order stochastic dominance constraints induced by mixed-integer linear recourse
    In: Mathematical Programming: Series A, Series B, Vol. 126, 2011, Nr. 1, pp. 179 – 190
    DOI
  • Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
    Risk Averse Shape Optimization
    In: SIAM Journal on Control and Optimization, Vol. 49, 2011, Nr. 3, pp. 927 – 947
    DOI
  • Drapkin, Dimitri; Schultz, Rüdiger
    An algorithm for stochastic programs with first-order dominance constraints induced by linear recourse
    In: Discrete Applied Mathematics, Vol. 158, 2010, Nr. 4, pp. 291 – 297
    DOI (Open Access)
  • Schultz, Rüdiger
    Optimierung unter Ungewissheit : „ ... das eigentliche Problem“
    In: Unikate: Berichte aus Forschung und Lehre, 2008, Nr. 33: Mathematik: eine lebendige Wissenschaft, pp. 84 – 92
    DOI, Online Full Text (Open Access)
  • Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
    Shape Optimization Under Uncertaint : A Stochastic Programming Perspective
    In: SIAM Journal on Optimization, Vol. 19, 2008, Nr. 4, pp. 1610 – 1632
    DOI
  • Bosch, Paul; Jofré, Alejandro; Schultz, Rüdiger
    Two-stage stochastic programs with mixed probabilities
    In: SIAM Journal on Optimization, Vol. 18, 2007, Nr. 3, pp. 778 – 788
    DOI
  • Albers, Susanne; Möhring, Rolf H.; Pflug, Georg Ch; Schultz, Rüdiger
    Algorithms for Optimization with Incomplete Information
    In: Dagstuhl Seminar Proceedings, Vol. 5031, 2005
    DOI, Online Full Text
  • Schultz, Rüdiger; Tiedemann, Stephan
    Risk aversion via excess probabilities in stochastic programs with mixed-integer recourse
    In: SIAM Journal on Optimization, Vol. 14, 2003, Nr. 1, pp. 115 – 138
    DOI, Online Full Text (Open Access)

    • Prefaces/Postfaces

  • Fleten, Stein-Erik; Schultz, Rüdiger
    Recent advances in applied optimization under uncertainty
    In: Computational Management Science: Springer, Vol. 18, 2021, Nr. 3, pp. 265 – 265
    DOI (Open Access)
  • Hurink, Johann; Schultz, Rüdiger; Wozabal, David
    Quantitative solutions for future energy systems and markets
    In: OR Spectrum. Berlin: Springer, Vol. 38, 2016, Nr. 3, pp. 541 – 543
    DOI
  • Schultz, Rüdiger
    Editorial, Volume 12, Issue 4, 2015
    In: Computational Management Science: Springer, Vol. 12, 2015, Nr. 4, pp. 489 – 490
    DOI

    • Book articles / Proceedings papers

  • 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
    In: German Success Stories in Industrial Mathematics / Milde, Anja / Bock, Hans Georg; Küfer, Karl-Heinz; Maass, Peter (Eds.). Berlin: Springer Medizin, 2021, pp. 23 – 28
    DOI, Online Full Text (Open Access)
  • Schultz, Rüdiger
    Uncertainty in Urban Systems: How to Optimize Decision Making Using Stochastic Programming
    In: Understanding Complex Urban Systems: Multidisciplinary Approaches to Modeling / Walloth, Christian; Gurr, Jens Martin; Schmidt, J. Alexander (Eds.). Cham (u.a.): Springer, 2014, pp. 29 – 50
  • Conti, S.; Geihe, B.; Rumpf, M.; Held, H.; Pach, Martin; Schultz, Rüdiger
    Stochastic programming concepts in pde-constrained shape optimization under uncertainty
    In: Safety, reliability, risk and life-cycle performance of structures and infrastructures / e 11th International Conference on Structural Safety and Reliability, New York, USA, 16-20 June 2013 / Deodatis, George; Ellingwood, Bruce R. (Eds.). Boca Raton [u.a.]: CRC Press, 2013, pp. 2567 – 2572
  • Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
    On shape optimization with stochastic loadings
    In: Constrained Optimization and Optimal Control for Partial Differential Equations / Leugering, Günter; Engell, Sebastian; Griewank, Andreas; Hinze, Michael; Rannacher, Rolf; Schulz, Volker; Ulbrich, Michael; Ulbrich, Stefan (Eds.). Basel: Springer, 2012, pp. 215 – 243
    DOI
  • Schultz, Rüdiger
    Risk aversion in two-stage stochastic integer programming
    In: Stochastic Programming: The State of the Art In Honor of George B. Dantzig / Infanger, Gerd (Eds.). Boston, Mass. [u.a.]: Springer New York LLC, 2011, pp. 165 – 187
    DOI
  • Drapkin, Dimitri; Gollmer, Ralf; Gotzes, Uwe; Neise, Frederike; Schultz, Rüdiger
    Risk management with stochastic dominance models in energy systems with dispersed generation
    In: Stochastic Optimization Methods in Finance and Energy: New Financial Products and Energy Market Strategies / Bertocchi, Marida; Consigli, Giorgio; Dempster, Michael A. H. (Eds.). Boston, Mass. [u.a.]: Springer New York LLC, 2011, pp. 253 – 271
    DOI
  • Schultz, Rüdiger
    Decomposition methods for stochastic integer programs with dominance constraints
    In: 8th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, CTW 2009 - Proceedings of the Conference / CTW 2009; Paris; France; 2 - 4 June 2009. Palaiseau: Ecole Polytechnique, 2009, pp. 137 – 139

    • Books, Collections, Proceedings

  • Koch, Thorsten; Hiller, Benjamin; Pfetsch, Mark; Schewe, Lars; Lehmann, Thomas; Morsi, Antonio; Stangl, Claudia; Gollmer, Ralf; Schultz, Rüdiger; Lenz, Ralf
    Evaluating Gas Network Capacities
    Philadelphia: SIAM, 2015(MOS-SIAM Series on Optimization)