Tiling on systems with communication/computation overlap

In the framework of fully permutable loops, thing is a compiler technique (also known as 'loop blocking') that has been extensively studied as a source-to-source program transformation. Little work has been devoted to the mapping and scheduling of the tiles on to physical parallel processors. We present several new results in the context of limited computational resources and assuming communication-computation overlap. In particular, under some reasonable assumptions, we derive the optimal mapping and scheduling of tiles to physical processors.