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Optimal scheduling for UET-UCT generalized n-dimensional grid task graphs

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4 Author(s)
Andronikos, T. ; Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece ; Koziris, N. ; Papakonstantinou, G. ; Tsanakas, P.

The n-dimensional grid is one of the most representative patterns of data flow in parallel computation. The most frequently used scheduling models for grids is the unit execution-unit communication time (UET-UCT). We enhance the model of n-dimensional grid by adding extra diagonal edges. First, we calculate the optimal makespan for the generalized UET-UCT grid topology and then we establish the minimum number of processors required, to achieve the optimal makespan. Furthermore, we solve the scheduling problem for generalized n-dimensional grids by proposing an optimal time and space scheduling strategy. We thus prove that UET-UCT scheduling of generalized n-dimensional grids is low complexity tractable

Published in:

Parallel Processing Symposium, 1997. Proceedings., 11th International

Date of Conference:

1-5 Apr 1997