preferences

Insights into the computational complexity of the single-source capacitated facility location problem with customer preferences

  • Christina Büsing
  • Timo Gersing
  • Sophia Wrede
    • Categories Combinatorial Optimization Tags , , ,

    Single-source capacitated facility location problems are well studied in the operations research literature, yet classic problems often lack practicability by disregarding the customers’ perspective: An authority that assigns customers to open facilities deprives customers from choosing facilities according to their individual preferences. In reality, this can render solutions infeasible, as customers may deviate to their … Read more

    Common Mathematical Foundations of Expected Utility and Dual Utility Theories

  • Darinka Dentcheva
  • Andrzej Ruszczyński
    • Categories Stochastic Programming Tags , , , ,

    We show that the main results of the expected utility and dual utility theories can be derived in a unified way from two fundamental mathematical ideas: the separation principle of convex analysis, and integral representations of continuous linear functionals from functional analysis. Our analysis reveals the dual character of utility functions. We also derive new … Read more