  We carry out nonadiabatic analysis of strange-modes in hot massive stars with
time-dependent convection (TDC) for the first time. Although convective
luminosity in envelopes of hot massive stars is not as dominative as in stars
near the red edge of the classical Cepheid instability strip in the
Hertzsprung-Russell (H-R) diagram, we have found that the strange-mode
instability can be affected by the treatment of convection. However, existence
of the instability around and over the Humphreys-Davidson (H-D) limit is
independent of the treatment. This implies that the strange-mode instability
could be responsible for the lack of observed stars over the H-D limit
regardless of uncertainties on convection theories.
