as a function of temperature $T$ and disorder strength $p$, for a fixed density of vortex lines $f=B\xi_0^2/\phi_0=1/5$ ($\phi_0$ is the flux quantum). Keeping $f$ fixed avoids effects that would be due to varying commensurability of the vortex lines with respect to the underlying numerical grid of the model. However, since increasing $f$ in a continuum system is generally believed to increase the effective pinning strength, [@MenonDasgupta] as more lines get forced into the same pinning volume, varying $p$ at fixed $f$ should provide qualitatively similar information as the more physical situation of varying $f$ at fixed $p$. Through careful, well equilibrated, simulations comparing systems of different size, and averaging over different realizations of the random pinning, we consider the limits of both weak and strong disorder. Our results are summarized in Fig. \[f1\]. By using a denser vortex line system than in our earlier work we are able in particular to explore the strong pinning limit, correcting our earlier preliminary conclusions[@OTmelt] concerning the presence of a vortex glass in this model. We also find, for the first time, a disorder induced smearing of the vortex lattice melting transition $T_{\rm m}(p)$ at intermediate disorder strengths, that we believe is in 