This paper deals with the problem of scheduling n tasks on m identical proc
essors in the presence of communication delays. A new approach of modelisat
ion by a decision graph and a resolution by a tabu search method is propose
d. Initial solutions are constructed by list algorithms, and then improved
by a tabu algorithm operating in two phases. The experiments carried on arb
itrary graphs show the efficiency of our method and that it outperformed th
e principle existent heuristics.