A scheduling algorithm for parallelizable dependent tasks

Scheduling a collection of tasks on a multiprocessor consisting of p processors, that minimizes the maximum completion time has attracted a lot of attention in the literature. This paper introduces a new problem of scheduling a task graph on a multiprocessor, called the parallelizable dependent task scheduling problem. Associated with each task, the paper shows the time it takes to run on a uniprocessor, and the speedup that can be obtained by running it on i processors, with i between 1 and p. Also presented are an algorithm for the problem and an analysis of the performance.