Scheduling problems with interprocessor communication delays have been shown to be NP-complete ([PY88],[C90],[CP91],[P91]). This paper considers the scheduling problem with the restriction that the underlying DAGs are trees and each task has unit execution time. It is shown that the problem remains NP-complete for binary trees and uniform communication delays. The same holds for complete binary trees, but varying communication delays. On the other hand, by a nontrivial analysis a polynomial time algorithm is obtained that solves the problem for complete k-ary trees and uniform communication delays.
CITATION STYLE
Jakoby, A., & Reischuk, R. (1992). The complexity of scheduling problems with communication delays for trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 621 LNCS, pp. 165–177). Springer Verlag. https://doi.org/10.1007/3-540-55706-7_15
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