Margarida Carvalho

Fair network design problem: an application to EV charging station capacity expansion

  • Nagisa Sugishita
  • Margarida Carvalho
    • Categories Bilevel Optimization Tags , , ,

    This study addresses the bilevel network design problem (NDP) with congestion. The upper-level decision-maker (a network designer) selects a set of arcs to add to an existing transportation network, while the lower-level decision-makers (drivers) respond by choosing routes that minimize their individual travel times, resulting in user equilibrium. In this work, we propose two novel … Read more

    Unboundedness in Bilevel Optimization

  • Bárbara Rodrigues
  • Margarida Carvalho
  • Miguel F. Anjos
  • nsugishita
    • Categories Bilevel Optimization, Nonlinear Optimization Tags , , ,

    Bilevel optimization has garnered growing interest over the past decade. However, little attention has been paid to detecting and dealing with unboundedness in these problems, with most research assuming a bounded high-point relaxation. In this paper, we address unboundedness in bilevel and multilevel optimization by studying its computational complexity. We show that deciding whether an … Read more