Robert Burlacu

Solving Mixed-Integer Nonlinear Programs using Adaptively Refined Mixed-Integer Linear Programs

  • Robert Burlacu
  • Björn Geißler
  • Lars Schewe
    • Categories (Mixed) Integer Nonlinear Programming Tags , , , ,

    We propose a method for solving mixed-integer nonlinear programs (MINLPs) to global optimality by discretization of occuring nonlinearities. The main idea is based on using piecewise linear functions to construct mixed-integer linear program (MIP) relaxations of the underlying MINLP. In order to find a global optimum of the given MINLP we develope an iterative algorithm … Read more

    GasLib – A Library of Gas Network Instances

  • Denis Aßmann
  • Robert Burlacu
  • Imke Joormann
  • Thorsten Koch
  • Marc E. Pfetsch
  • Lars Schewe
  • Martin Schmidt
  • Mathias Sirvent
  • Jesco Humpola
  • Nikolaos Kanelakis
  • Djamal Oucherif
  • Robert Schwarz
    • Categories (Mixed) Integer Nonlinear Programming, Applications - Science and Engineering Tags , , , ,

    The development of mathematical simulation and optimization models and algorithms for solving gas transport problems is an active field of research. In order to test and compare these models and algorithms, gas network instances together with demand data are needed. The goal of GasLib is to provide a set of publicly available gas network instances … Read more