Non-approximability of the bulk synchronous task scheduling problem

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Abstract

The mainstream architecture of a parallel machine with more than tens of processors is a distributed-memory machine. The bulk synchronous task scheduling problem (BSSP, for short) is an task scheduling problem for distributed-memory machines. This paper shows that there does not exist a ρ-approximation algorithm to solve the optimization counterpart of BSSP for any (formula presented) unless P = NP.

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Fujimoto, N., & Hagihara, K. (2002). Non-approximability of the bulk synchronous task scheduling problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2400, pp. 225–233). Springer Verlag. https://doi.org/10.1007/3-540-45706-2_29

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