Scheduling UET-UCT Series-Parallel Graphs on Two Processors

  title={Scheduling UET-UCT Series-Parallel Graphs on Two Processors},
  author={Lucian Finta and Zhen Liu and Ioannis Milis and Evripidis Bampis},
  journal={Theor. Comput. Sci.},
The scheduling of task graphs on two identical processors is considered. It is assumed that tasks have unit-execution-time, and arcs are associated with unit-communication-time delays. The problem is to assign the tasks to the two processors and schedule their execution in order to minimize the makespan. A quadratic algorithm is proposed to compute an optimal schedule for a class of series-parallel graphs, called SP1 graphs, which includes in particular in-forests and out-forests. 

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