Other Topics

On implementing a primal-dual interior-point method for conic quadratic optimization

  • Cornelis Roos
  • Erling D. Andersen
  • Tamás Terlaky
    • Categories Convex Optimization, Other Topics, Second-Order Cone Programming Tags , , , ,

    Conic quadratic optimization is the problem of minimizing a linear function subject to the intersection of an affine set and the product of quadratic cones. The problem is a convex optimization problem and has numerous applications in engineering, economics, and other areas of science. Indeed, linear and convex quadratic optimization is a special case. Conic … Read more

    Cooperative games on antimatroids

  • E. Algaba
  • A. Jimenez-Losada
  • R. van den Brink
  • J. M. Bilbao
    • Categories Game Theory Tags , ,

    The aim of this paper is to introduce cooperative games with a feasible coalition system which is an antimatroid. These combinatorial structures generalize the permission structures, which have nice economical applications. With this goal, we first characterize the approaches from a permission structure with special classes of antimatroids. Next, we use the concept of interior … Read more