Abstract

Parallel execution of an arrival stream of jobs with and without real-time constraints on a (possibly heterogeneous) multiprocessor system is considered. A job consists of a set of tasks and a partial order specifying the precedence constraints between the tasks. The real-time constraints are specified by due times, also called soft real time deadlines. It is assumed that there is a predefined mapping from the set of tasks onto the set of machines that is identical for all jobs. Associated with each task is a service time that may depend on the machine that it is allocated to. The problem of scheduling tasks into execution at each machine is the subject of this paper

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