Brage Rugstad Knudsen

Mathematical Programming Formulations for Piecewise Polynomial Functions

  • Bjarne Grimstad
  • Brage Rugstad Knudsen
    • Categories (Mixed) Integer Nonlinear Programming Tags , , ,

    This paper studies mathematical programming formulations for solving optimization problems with piecewise polynomial (PWP) constraint functions. We elaborate on suitable polynomial bases as a means of efficiently representing PWPs in mathematical programs, comparing and drawing connections between the monomial basis, the Bernstein basis, and B-splines. The theory is presented for both continuous and semi-continuous PWPs. … Read more

    Global Optimisation of Multi-Plant Manganese Alloy Production

  • Henrik Andersson
  • Stein Wasbø
  • Martin Digernes
  • Brage Rugstad Knudsen
  • Lars Rudi
  • Magnus Stålhane
    • Categories Global Optimization Applications, Production and Logistics, Supply Chain Management

    This paper studies the problem of multi-plant manganese alloy production. The problem consists of finding the optimal furnace feed of ores, fluxes, coke, and slag that yields output products which meet customer specifications, and to optimally decide the volume, composition, and allocation of the slag. To solve the problem, a nonlinear pooling problem formulation is … Read more