Martin Schmidt

An Interior-Point Method for Nonlinear Optimization Problems with Locatable and Separable Nonsmoothness

  • Martin Schmidt
    • Categories Applications - Science and Engineering, Constrained Nonlinear Optimization, Nonsmooth Optimization Tags , , , , ,

    A lot of real-world optimization models comprise nonconvex and nonlinear as well as nonsmooth functions leading to very hard classes of optimization models. In this article a new interior-point method for the special but practically relevant class of optimization problems with locatable and separable nonsmooth aspects is presented. After motivating and formalizing the problems under … Read more

    Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions

  • Armin Fügenschuh
  • Björn Geißler
  • Thorsten Koch
  • Antonio Morsi
  • Marc E. Pfetsch
  • Jessica Rövekamp
  • Lars Schewe
  • Martin Schmidt
  • Nina Geissler
  • Ralf Gollmer
  • Benjamin Hiller
  • Jesco Humpola
  • Thomas Lehmann
  • Alexander Martin
  • Ruediger Schultz
  • Robert Schwarz
  • Jonas Schweiger
  • Claudia Stangl
  • Marc C. Steinbach
  • Stefan Vigerske
  • Bernhard M. Willert
    • Categories (Mixed) Integer Nonlinear Programming, Applications - Science and Engineering, Systems governed by Differential Equations Optimization Tags , ,

    In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements … Read more