  Task reassignments in 2D mesh-connected systems (2D-MSs) have been researched
for several decades. We propose a hierarchical 2D mesh-connected system
(2D-HMS) in order to exploit the regular nature of a 2D-MS. In our approach
priority-based task assignments and reassignments in a 2D-HMS are represented
by tableaux and their algorithms. We show how task relocations for a
priority-based task reassignment in a 2D-HMS are reduced to a jeu de taquin
slide.
