• IntroductionTransportation theory (mathematics)
  • MotivationMines and factoriesMoving books: the importance of the cost function
  • Hitchcock problemNumerical solution in Excel
  • Abstract formulation of the problemMonge and Kantorovich formulationsDuality formulaEconomic interpretation
  • Solution of the problemOptimal transportation on the real lineDiscrete version and linear programming formulationSemi-discrete caseQuadratic normal caseSeparable Hilbert spaces
  • Entropic regularization
  • Applications
  • See also
  • References
  • Further reading