6780 eng reportzib 0 -- 2018-03-08 -- We investigate new convex relaxations for the pooling problem, a classic nonconvex production planning problem in which products are mixed in intermediate pools in order to meet quality targets at their destinations. In this technical report, we characterize the extreme points of the convex hull of our non-convex set, and show that they are not finite, i.e., the convex hull is not polyhedral. This analysis was used to derive valid nonlinear convex inequalities and show that, for a specific case, they characterize the convex hull of our set. The new valid inequalities and computational results are presented in ZIB Report 18-12. 1438-0064 urn:nbn:de:0297-zib-67801 James Luedtke Jonas Schweiger Claudia D'Ambrosio Jeff Linderoth Jonas Schweiger 18-13 eng uncontrolled Pooling Problem eng uncontrolled Relaxation eng uncontrolled Extreme Points Quadratic programming Nonconvex programming, global optimization Programming involving graphs or networks [See also 90C27] Mathematical Optimization MODAL-GasLab MODAL-Gesamt Schweiger, Jonas Energy Network Optimization Applied Optimization https://opus4.kobv.de/opus4-zib/files/6780/ZR-18-13.pdf