  We propose simulation strategies for single production of third generation
vector-like quarks at the LHC, implementing next-to-leading-order corrections
in QCD and studying in detail their effect on cross sections and differential
distributions. We also investigate the differences and the relative
incertitudes induced by the use of the Four-Flavour Number Scheme ${\it
versus}$ the Five-Flavour Number Scheme. As a phenomenological illustration, we
concentrate on the production of vector-like quarks coupling to the third
generation of the Standard Model in association with a jet and assuming
standard couplings to gauge and Higgs bosons.
