I am not sure how many times this is going to have to be said this post season but Shavlik Randolph, DJ White, Terrence Williams and Fab Melo will not be seeing any meaningful playing time this post season if any.
I do not think Fab Melo or DJ White will play at all.
I think Terrence Williams could offer spot minutes as a wing defender if Doc is stretched. Otherwise, I do not expect him to play either.
I think Shavlik Randolph could get minutes in the next series against Indiana who play four proper big men in Roy Hibbert, David West, Tyler Hansbrough and Ian Mahinmi ... but I do not expect him to play against New York due to their small-ball lineups.
I think Randolph (rebounding) will compete with Wilcox (interior scoring) for the backup big men minutes. I was disappointed Doc used Bass as the backup center today but it looks like that will be the way it will be for the rest of the series. Against a bigger team like Indiana, that probably changes and those two guys will compete for those minutes.