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Many computer-vision (CV) applications used in autonomous vehicles rely on historical results, which introduce cycles in processing graphs. However, existing response-time analysis breaks down in the presence of cycles, either by failing completely or by drastically sacrificing parallelism or CV accuracy. To address this situation, this paper presents a new graph-based task model, based on the recently ratified OpenVX standard, that includes historical requirements and their induced cycles as first-class concepts. Using this model, response-time bounds for graphs that may contain cycles are derived. These bounds expose a tradeoff between responsiveness and CV accuracy that hinges on the extent of allowed parallelism. This tradeoff is illustrated via a CV case study involving pedestrian tracking. In this case study, the methods proposed in this paper enabled significant improvements in both analytical and observed response times, with acceptable CV accuracy, compared to prior methods. 

Prior work has shown that the global earliest-deadline-first (GEDF) scheduler is soft real-time (SRT)-optimal for sporadic task systems in a variety of contexts, meaning that bounded deadline tardiness can be guaranteed under it for any task system that does not cause platform overutilization. However, one particularly compelling context has remained elusive: multiprocessor platforms in which tasks have affinity masks that determine the processors where they may execute. Actual GEDF implementations, such as the SCHED_DEADLINE class in Linux, have dealt with this unresolved question by foregoing SRT guarantees once affinity masks are set. This unresolved question, as it pertains to SCHED_DEADLINE, was included by Peter Zijlstra in a list of important open problems affecting Linux in his keynote talk at ECRTS 2017. In this paper, this question is resolved along with another open problem that at first blush seems unrelated but actually is. Specifically, both problems are closed by establishing two results. First, a proof strategy used previously to establish GEDF tardiness bounds that are exponential in size on heterogeneous uniform multiprocessors is generalized to show that polynomial bounds exist on a wider class of platforms. Second, both uniform multiprocessors and identical multiprocessors with affinities are shown to be within this class. These results yield the first polynomial GEDF tardiness bounds for the uniform case and the first such bounds of any kind for the identical-with-affinities case. 

Modern operating systems allow task migrations to be restricted by specifying per-task processor affinity masks. Such a mask specifies the set of processor cores upon which a task can be scheduled. In this paper, a semi-partitioned scheduler, AM-Red (affinity mask reduction), is presented for scheduling implicit-deadline sporadic tasks with arbitrary affinity masks on an identical multiprocessor. AM-Red is obtained by applying an affinity-mask-reduction method that produces affinities in accordance with those specified, without compromising feasibility, but with only a linear number of migrating tasks. It functions by employing a tunable frame of size |F|. For any choice of |F|, AM-Red is soft-real-time optimal, with tardiness bounded by |F|, but the frequency of task migrations is proportional to |F|. If |F| divides all task periods, then AM-Red is also hard-real-time-optimal (tardiness is zero). AM-Red is the first optimal scheduler proposed for arbitrary affinity masks without future knowledge of all job releases. Experiments are presented that show that AM-Red is implementable with low overhead and yields reasonable tardiness and task-migration frequency. 

Fixed-priority multicore schedulers are often preferable to dynamic-priority ones because they entail less overhead, are easier to im-plement, and enable certain tasks to be favored over others. Underglobal fixed-priority (G-FP) scheduling, as applied to the standardsporadic task model, response times for low-priority tasks may beunbounded, even if total task-system utilization is low. In this paper,it is shown that this negative result can be circumvented if differentjobs of the same task are allowed to execute in parallel. In particu-lar, a response-time bound is presented for task systems that allowintra-task parallelism. This bound merely requires that total utiliza-tion does not exceed the overall processing capacity—individualtask utilizations need not be further restricted. This result impliesthat G-FP is optimal for scheduling soft real-time tasks that requirebounded tardiness, if intra-task parallelism is allowed