Chance Constrained Optimization for Targeted Internet Advertising
  We introduce a chance constrained optimization model for the fulfillment of guaranteed display Internet advertising campaigns. The proposed formulation for the allocation of display inventory takes into account the uncertainty of the supply of Internet viewers. We discuss and present theoretical and computational features of the model via Monte Carlo sampling and convex approximations. Theoretical upper and lower bounds are presented along with a numerical substantiation. 
Antoine Deza, Kai Huang, and Michael R. Metel
cs.CE math.OC