affine routing

Efficient approaches for the robust network loading problem

  • Sara Mattia
  • Michael Poss
    • Categories (Mixed) Integer Linear Programming, Network Optimization, Robust Optimization Tags , , , ,

    We consider the Robust Network Loading problem with splittable flows and demands that belong to the budgeted uncertainty set. We compare the optimal solution cost and computational cost of the problem when using static routing, volume routing, affine routing, and dynamic routing. For the first three routing types, we compare the compact formulation with a … Read more

    Affine recourse for the robust network design problem: between static and dynamic routing

  • Michael Poss
  • Christian Raack
    • Categories Combinatorial Optimization, Network Optimization, Robust Optimization Tags , , , , ,

    Affinely-Adjustable Robust Counterparts provide tractable alternatives to (two-stage) robust programs with arbitrary recourse. We apply them to robust network design with polyhedral demand uncertainty, introducing the affine routing principle. We compare the affine routing to the well-studied static and dynamic routing schemes for robust network design. All three schemes are embedded into the general framework … Read more