Towards component-based (max,+) algebraic throughput analysis of hierarchical synchronous data flow models

Synchronous (or static) dataflow (SDF) is deemed the most stable and mature model to represent streaming systems. It is useful, not only to reason about functional behavior and correctness of such systems, but also about non-functional aspects, in particular timing and performance constraints. When talking about performance, throughput is a key metric. Within the SDF domain, hierarchical SDF models are of special interest as they enable compositional modeling, which is a necessity in the design of large systems.