nonconvex relaxation

Solving Heated Oil Pipeline Problems Via Mixed Integer Nonlinear Programming Approach

  • Yu-Hong Dai
  • Yakui Huang
  • Bo Li
  • Muming Yang
    • Categories (Mixed) Integer Nonlinear Programming, Applications - OR and Management Sciences Tags , , , , , ,

    It is a crucial problem how to heat oil and save running cost for crude oil transport. This paper strictly formulates such a heated oil pipeline problem as a mixed integer nonlinear programming model. Nonconvex and convex continuous relaxations of the model are proposed, which are proved to be equivalent under some suitable conditions. Meanwhile, … Read more

    An Exact Algorithm for Quadratic Integer Minimization using Ellipsoidal Relaxations

  • Christoph Buchheim
  • Marianna De Santis
  • Laura Palagi
  • Mauro Piacentini
    • Categories (Mixed) Integer Nonlinear Programming, Global Optimization, Quadratic Programming Tags ,

    We propose a branch-and-bound algorithm for minimizing a not necessarily convex quadratic function over integer variables. The algorithm is based on lower bounds computed as continuous minima of the objective function over appropriate ellipsoids. In the nonconvex case, we use ellipsoids enclosing the feasible region of the problem. In spite of the nonconvexity, these minima … Read more