"Adapted"? No. However...
I had thought that "The Doomsday Machine" was inspired by Saberhagen's BERSERKER stories. Although in an interview, Spinrad said he was thinking more along the lines of MOBY DICK.
David Gerrold has denied any knowledge of Robert Heinlein's THE ROLLING STONES when he wrote "The Trouble With Tribbles," which makes the similarities an incredible coincidence. (Heinlein was one of the biggest names in sci-fi at the time, and STONES was published more than 10 years earlier. Other episodes bearing some likeness to Heinlein's works include ORPHANS OF THE SKY as "For The World Is Hollow And I Have Touched The Sky" and THE PUPPET MASTERS as "Operation Annihilate!")
One other allusion to existing stories is Rayna Kapec from "Requiem for Methuselah" after Karel Čapek, author of R.U.R. (Rossum's Universal Robots). The "robots" in the original were organic constructs that sometimes went crazy for lack of emotions as a safety valve. (And Rayna died of her exposure.)