Jin Qi

Robust Continuous-Time Service Network Design under Travel Time Uncertainty

  • Shengnan Shu
  • Zhou Xu
  • Jin Qi
    • Categories Applications - OR and Management Sciences, Network Optimization, Robust Optimization Tags , , , , , ,

    The continuous-time service network design problem (CTSNDP) has wide applications in the field of transportation, but it is complicated by travel time uncertainty resulting from unpredictable traffic conditions. Incorporating uncertain travel times poses a significant challenge, as time-indexed mixed-integer linear programming (MILP) formulations commonly used to solve the CTSNDP with deterministic travel times become impractical. … Read more

    Supermodularity in Two-Stage Distributionally Robust Optimization

  • Daniel Zhuoyu Long
  • Jin Qi
  • Aiqi Zhang
    • Categories Applications - OR and Management Sciences, Linear Programming, Robust Optimization

    In this paper, we solve a class of two-stage distributionally robust optimization problems which have the property of supermodularity. We exploit the explicit upper bounds on the expectation of supermodular functions and derive the worst-case distribution for the robust counterpart. This enables us to develop an efficient method to derive an exact optimal solution of … Read more