Abstract-Data-flow models ease the task of constructing feasible schedules of computations and communications of high-assurance embedded applications. One key and open issue is how to schedule data-flow graphs so as to minimize the buffering of data and reduce end-to-end latency. Most of the proposed techniques in that respect are based on either static or data-driven scheduling. This paper looks at the problem in a different way by considering priority-driven preemptive scheduling theory of periodic tasks to execute a data-flow program.Our approach to the problem can be detailed as follows.(1) We propose a model of computation in which the activation clocks of actors are related by affine functions. The affine relations describe the symbolic scheduling constraints of the data-flow graph. (2) Based on this framework, we present an algorithm that computes affine schedules in a way that minimizes buffering requirements and, in addition, guarantees the absence of overflow and underflow exceptions over communication channels. (3) Depending on the chosen scheduling policy (earliest-deadline first or rate-monotonic), we concretize the symbolic schedule by defining the period and the phase of each actor. This concretization guarantees schedulability and maximizes the processor utilization factor.

Abstract-Static dataflow graphs are widely used in design of concurrent real-time streaming applications on multiprocessor systems-on-chip. The increasing complexity of these systems advocates using real-time operating systems and dynamic scheduling to manage applications and resources. Providing timing guarantees (e.g. minimum throughput, deadlines) and minimizing the required amount of resources (e.g. number of processors, buffer capacities) are crucial aspects of these systems. This paper addresses uniprocessor and partitioned multiprocessor earliest-deadline first scheduling of multiple concurrent applications, each designed as an independent dataflow graph. Our scheduling approach maps each actor to a periodic realtime task and computes the appropriate buffer sizes and timing and scheduling parameters (i.e. periods, processor allocation, etc.). The proposed parametric schedulability analysis aims at maximizing the overall processor utilization, and hence allows for reducing the required number of processors.

The synchronous dataflow model of computation is widely used to design embedded stream-processing applications under strict quality-of-service requirements (e.g., buffering size, throughput, input-output latency). The required analyses can either be performed at compile time (for design space exploration) or at runtime (for resource management and reconfigurable systems). However, these analyses have an exponential time complexity, which may cause a huge runtime overhead or make design space exploration unacceptably slow. In this article, we argue that symbolic analyses are more appropriate since they express the system performance as a function of parameters (i.e., input and output rates, execution times). Such functions can be quickly evaluated for each different configuration or checked with respect to different quality-of-service requirements. We provide symbolic analyses for computing the maximal throughput of acyclic synchronous dataflow graphs, the minimum required buffers for which as soon as possible (ASAP) scheduling achieves this throughput, and finally, the corresponding input-output latency of the graph. The article first investigates these problems for a single parametric edge. The results are extended to general acyclic graphs using linear approximation techniques. We assess the proposed analyses experimentally on both synthetic and real benchmarks.