On the complexity of finding even pairs in planar perfect graphs
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文摘
We consider the problem of scheduling a directed acyclic graph on a limited number of processors in presence of communication delays (Pprec, CijCmax). Under the small communication time assumption, meaning that the communication delays are smaller than the computation times of the tasks, we propose a new list scheduling algorithm. This algorithm takes advantage of the duplication to reduce the impact of the communications on the schedule makespan. We establish for this algorithm a worst case performance guarantee of 2 compared to an optimal solution.

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