An important class of real-time multimedia streaming applications can be modeled as pipelines of tasks to be executed on multi processors systems. Each pipeline is periodically activated and each instance has to be completed before a given end-to-end deadline. A general problem is to allocate multiple real-time task pipelines on multi-core systems, guaranteeing their schedu- lability and optimizing a user defined objective (e.g. minimum number of processors, minimum energy consumption, etc.). The objective of this paper is to analyze the problem from a mathematical point of.
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