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**Extra resources for Analysis and optimisation of distributed embedded systems with heterogeneous scheduling policies**

**Example text**

This is caused by the fact that tasks with shorter deadlines may be released earlier than the critical instant, meaning that for EDF tasks the start of the busy period does not necessarily coincide with the critical instant. 3) Response times for the FPS and EDF tasks respectively are obtained using workload equations. Given a task τab and an interval of time t, a workload equation computes the amount of interference that τab can suffer during t from higher priority tasks and from tasks with earlier deadlines.

2) Offsets are the means by which dependencies among tasks can be modelled for the schedulability analysis. 2: Tasks with Offsets case response time Rij of its predecessor, τij. In this way, it is guaranteed that task τij+1 starts only after its predecessor has finished execution. In [Gon03], the authors have developed a schedulability analysis algorithm for ET tasks running under a hierarchical FPS/EDF scheduling policy. The worst-case response time Rab of a task τab, regardless if it is scheduled under FP or EDF, is computed by considering: • all possible critical instants initiated by the higher priority tasks τac from Γa.

First we introduce the specifics of FlexRay in Chapter 5. Then, in Chapter 6 we present the timing analysis that determines the worst-case response times of messages transmitted over a FlexRay bus. Following a similar line of thought like in the first part of the thesis, Chapter 7 aims again at improving the overall timing characteristics of the system by optimising the structure of the bus cycle. Finally, in Chapter 8 we draw some conclusions and discuss possible research directions for the future.