integer non-linear programming

Energy-efficient Timetables for Railway Traffic: Incorporating DC Power Models

  • Tobias Kuen
  • Robert Burlacu
  • Patrick Gemander
  • Jorge Weston
    • Categories (Mixed) Integer Nonlinear Programming, Cutting Plane Approaches, Transportation Tags , , ,

    Efficient operation of underground railway systems is critical not only for maintaining punctual service but also for minimizing energy consumption, a key factor in reducing operational costs and environmental impact. To evaluate the energy consumption of the timetables, this paper delves into the development of mathematical models to accurately represent energy dynamics within the underground … Read more

    Strong Dual for Conic Mixed-Integer Programs

  • Santanu S. Dey
  • Juan Pablo Vielma
  • Diego Moran Ramirez
    • Categories (Mixed) Integer Nonlinear Programming Tags , , ,

    Mixed-integer conic programming is a generalization of mixed-integer linear programming. In this paper, we present an extension of the duality theory for mixed-integer linear programming to the case of mixed-integer conic programming. In particular, we construct a subadditive dual for mixed-integer conic programming problems. Under a simple condition on the primal problem, we are able … Read more