nonlinear

An implicit function formulation for optimization of discretized index-1 differential algebraic systems

  • Robert Parker
  • Bethany Nicholson
  • John D. Siirola
  • Carl D. Laird
  • Lorenz T. Biegler
    • Categories Systems governed by Differential Equations Optimization Tags , , ,

    A formulation for the optimization of index-1 differential algebraic equation systems (DAEs) that uses implicit functions to remove algebraic variables and equations from the optimization problem is described. The formulation uses the implicit function theorem to calculate derivatives of functions that remain in the optimization problem in terms of a reduced space of variables, allowing … Read more

    Nonlinear Matroid Optimization and Experimental Design

  • Yael Berstein
  • Jon Lee
  • Hugo Maruri-Aguilar
  • Shmuel Onn
  • Eva Riccomagno
  • Robert Weismantel
  • Henry Wynn
    • Categories Graphs and Matroids, Nonlinear Optimization, Statistics Tags , , , , ,

    We study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly. Such functions can be interpreted as the balancing of multi-criteria optimization. We provide a combinatorial polynomial time algorithm for arbitrary oracle-presented matroids, that makes repeated use of matroid intersection, and an algebraic algorithm for vectorial matroids. Our work is … Read more

    Nonlinear Optimisation in CHP-Applications

  • Wilhelm Althaus
  • Michael Lucht
  • Michael Wigbels
    • Categories Applications - Science and Engineering, Constrained Nonlinear Optimization, Nonlinear Optimization Tags , , , ,

    At the Fraunhofer Institute UMSICHT a nonlinear model has been developed facilitating the dynamic optimisation of combined heat and power production systems. The strategy called “dynamic supply temperature optimisation” is a very promising approach to use the DH-network itself as a large heat storage causing no additional investment cost. The pipeline system of a district … Read more