  In this work, we investigated a combined Chen-Lee-Liu derivative nonlinear
Schr\"{o}dinger equation(called CLL-NLS equation by Kundu) on the half-line by
unified transformation approach. We gives spectral analysis of the Lax pair for
CLL-NLS equation, and establish a matrix Riemann-Hilbert problem, so as to
reconstruct the solution $r(z,t)$ of the CLL-NLS equation by solving.
Furthermore, the spectral functions are not independent, but enjoy by a
compatibility condition, which is the so-called global relation.
