integration

Improving Robust Rolling Stock Circulation in Rapid Transit Networks

  • Luís Cadarso
  • Ángel Marín
    • Categories Civil and Environmental Engineering, Robust Optimization, Transportation Tags , ,

    The routing of the rolling stock depends strongly on the rolling stock assignment to di erent opera- tions and the shunting schedule. Therefore, the integration of these decision making is justi ed and is appropriate to introduce robustness in the model. We propose a new approach to obtain better circula- tions of the rolling stock material, solving … Read more

    Integration formulas via the Legendre-Fenchel Subdifferential of nonconvex functions

  • Rafael Correa
  • Garcia Yboon
  • Abderrahim Hantoute
    • Categories Convex and Nonsmooth Optimization Tags , , , ,

    Starting from explicit expressions for the subdifferential of the conjugate function, we establish in the Banach space setting some integration results for the so-called epi-pointed functions. These results use the epsilon-subdifferential and the Legendre-Fenchel subdefferential of an appropriate weak lower semicontinuous (lsc) envelope of the initial function. We apply these integration results to the construction … Read more