Renormalization group improved exponentiation of soft gluons in QCD

We extend the methods of Yennie, Frautschi and Suura to QCD for the summation of soft gluon effects in which infrared singularities are cancelled to all orders in αs. An explicit formula for the respective renormalization group improved exponentiated cross section is obtained for q + q−′ → + q + q−′ + n(G) at LHC/SSC energies. Possible applications are discussed.