The talk will present state of the art predictions for total production cross sections of squarks and gluinos that include for the first time a combined resummation of soft-gluon and Coulomb gluon effects at next-to-next-to leading logarithmic accuracy. The corrections can be very large, above 100 percent relative to the NLO predictions, and up to 25 percent relative to earlier NLL results. The theoretical scale uncertainties are reduced to the 10 percent level.