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Cyclo-Static Dataflow Graphs (CSDFGs in short) is a static model commonly used to describe communications between processes. It is increasingly considered for modeling applications executed by many-core architectures; their static analysis becomes thus essential for developing efficient compile-time optimization. This paper aims to develop efficient(More)
A well studied and diicult class of scheduling problems concerns parallel machines and precedence constraints. In order to model more realistic situations, we consider precedence delays, associating with each precedence constraint a certain amount of time which must elapse between the completion and start times of the corresponding jobs. Release dates,(More)
This paper deenes and studies an approximation algorithm for scheduling tasks with small communication delays on m processors. In a rst step, a schedule 1 for the problem instance with an unlimited number of processors is generated with a polynomial algorithm with relative performance bounded by 2(1 +) 2 + , where denotes the ratio between the greatest(More)
In this paper, we consider a nite set of generic tasks that we execute a large number of times. We introduce the linear constraints between two generic tasks : the diierence of iteration indices between the execution of two tasks subject to a precedence constraint is a linear function of these indices. These constraints are modeled by a linear graph G.(More)
Synchronous Dataflow graphs, introduced by Lee and Messerschmitt in 1987, are a well-known formalism commonly used to model data-exchanges between parallel processes. This model was extensively studied in the last two decades because of the importance of its applications. However, the determination of a maximal throughput is a difficult question, for which(More)