  We calculate the production of a W boson in association with up to two jets
including at least one b-jet to next-to-leading order (NLO) in QCD at the CERN
Large Hadron Collider with 7 TeV center-of-mass energy. Both exclusive and
inclusive event cross section and b-jet cross sections are presented. The
calculation is performed consistently in the five-flavor-number scheme where
both q anti-q' and bq (q =\= b) initiated parton level processes are included
at NLO QCD. We study the residual theoretical uncertainties of the NLO
predictions due to the renormalization and factorization scale dependence, to
the uncertainty from the parton distribution functions, and to the values of
alpha_s and the bottom-quark mass.
