  This paper is concerned with the time-asymptotic behavior of strong solutions
to an initial-boundary value problem of the compressible Navier-Stokes-Korteweg
system on the half line $\mathbb{R}^+$. The asymptotic profile of the problem
is shown to be a shifted viscous shock profile, which is suitably away from the
boundary. Moreover, we prove that if the initial data around the shifted
viscous shock profile and the strength of the shifted viscous shock profile are
sufficiently small, then the problem has a unique global strong solution, which
tends to the shifted viscous shock profile as time goes to infinity. The
analysis is based on the elementary $L^2$-energy method and the key point is to
deal with the boundary estimates.
