A Survey of Schedulability Analysis Techniques for Rate-Dependent Tasks

In automotive embedded real-time systems, such as the engine control unit, there are tasks that are activated whenever the crankshaft arrives at a specific angular position. As a consequence the frequency of activation changes with the crankshaft’s angular speed (i.e., engine rpm). Additionally, execution times and deadlines may also depend on angular speeds and positions. This paper provides a survey on schedulability analysis techniques for tasks with this rate-dependent behaviour. It covers different task-models and analysis methods for both fixed priority and earliest deadline first scheduling. A taxonomy of the different analysis methods, classifying them according to the assumptions made and the precision of the analysis, is provided at the end of the pape

The multiprocessor real-time scheduling of general task systems

The recent emergence of multicore and related technologies in many commercial systems has increased the prevalence of multiprocessor architectures. Contemporaneously, real-time applications have become more complex and sophisticated in their behavior and interaction. Inevitably, these complex real-time applications will be deployed upon these multiprocessor platforms and require temporal analysis techniques to verify their correctness. However, most prior research in multiprocessor real-time scheduling has addressed the temporal analysis only of Liu and Layland task systems. The goal of this dissertation is to extend real-time scheduling theory for multiprocessor systems by developing temporal analysis techniques for more general task models such as the sporadic task model, the generalized multiframe task model, and the recurring real-time task model. The thesis of this dissertation is: Optimal online multiprocessor real-time scheduling algorithms for sporadic and more general task systems are impossible; however, efficient, online scheduling algorithms and associated feasibility and schedulability tests, with provably bounded deviation from any optimal test, exist. To support our thesis, this dissertation develops feasibility and schedulability tests for various multiprocessor scheduling paradigms. We consider three classes of multiprocessor scheduling based on whether a real-time job may migrate between processors: full-migration, restricted-migration, and partitioned. For all general task systems, we obtain feasibility tests for arbitrary real-time instances under the full-and restricted-migration paradigms. Despite the existence of tests for feasibility, we show that optimal online scheduling of sporadic and more general systems is impossible. Therefore, we focus on scheduling algorithms that have constant-factor approximation ratios in terms of an analysis technique known as resource augmentation. We develop schedulability tests for scheduling algorithms, earliest-deadline-first (edf) and deadline-monotonic (dm), under full-migration and partitioned scheduling paradigms. Feasibility and schedulability tests presented in this dissertation use the workload metrics of demand-based load and maximum job density and have provably bounded deviation from optimal in terms of resource augmentation. We show the demand-based load and maximum job density metrics may be exactly computed in pseudo-polynomial time for general task systems and approximated in polynomial time for sporadic task systems

Scheduling algorithms and timing analysis for hard real-time systems

Real-time systems are designed for applications in which response time is critical. As timing is a major property of such systems, proving timing correctness is of utter importance. To achieve this, a two-fold approach of timing analysis is traditionally involved: (i) worst-case execution time (WCET) analysis, which computes an upper bound on the execution time of a single job of a task running in isolation; and (ii) schedulability analysis using the WCET as the input, which determines whether multiple tasks are guaranteed to meet their deadlines. Formal models used for representing recurrent real-time tasks have traditionally been characterized by a collection of independent jobs that are released periodically. However, such a modeling may result in resource under-utilization in systems whose behaviors are not entirely periodic or independent. Examples are (i) multicore platforms where tasks share a communication fabric, like bus, for accesses to a shared memory beside processors; (ii) tasks with synchronization, where no two concurrent access to one shared resource are allowed to be in their critical section at the same time; and (iii) automotive systems, where tasks are linked to rotation (e.g., of the crankshaft, gears, or wheels). There, their activation rate is proportional to the angular velocity of a specific device. This dissertation presents multiple approaches towards designing scheduling algorithms and schedulability analysis for a variety of real-time systems with different characteristics. Specifically, we look at those design problems from the perspective of speedup factor — a metric that quantifies both the pessimism of the analysis and the non-optimality of the scheduling algorithm. The proposed solutions are shown promising by means of not only speedup factor but also extensive evaluations

On hard real-time scheduling of cyclo-static dataflow and its application in system-level design

This dissertation addresses the problem of designing hard real-time streaming systems running a set of parallel streaming programs in an automated way such that the programs provably meet their timing requirements. A scheduling framework is proposed with which it is analytically proven that any streaming program, modeled as an acyclic Cyclo-Static Dataflow (CSDF) graph, can be executed as a set of real-time periodic tasks. The proposed framework computes the parameters of the periodic tasks corresponding to the graph actors and the minimum buffer sizes of the communication channels such that a valid periodic schedule is guaranteed to exist. In order to demonstrate the effectiveness of the proposed scheduling framework, a system-level design flow that incorporates the scheduling framework is proposed. This proposed design flow accepts, as input, algorithmic sequential specifications of streaming programs, and then applies a set of systematic and automated steps that produce, as output, the final system implementation, which provably meets the timing requirements of the programs. The final system implementation consists of the parallelized versions of the input streaming programs together with the hardware needed to run them. The proposed scheduling framework and design flow are evaluated through a set of experiments. These experiments illustrate the effectiveness of the proposed scheduling framework and design flow.Computer Systems, Imagery and Medi

Complex scheduling models and analyses for property-based real-time embedded systems

Modern multi core architectures and parallel applications pose a significant challenge to the worst-case centric real-time system verification and design efforts. The involved model and parameter uncertainty contest the fidelity of formal real-time analyses, which are mostly based on exact model assumptions. In this dissertation, various approaches that can accept parameter and model uncertainty are presented. In an attempt to improve predictability in worst-case centric analyses, the exploration of timing predictable protocols are examined for parallel task scheduling on multiprocessors and network-on-chip arbitration. A novel scheduling algorithm, called stationary rigid gang scheduling, for gang tasks on multiprocessors is proposed. In regard to fixed-priority wormhole-switched network-on-chips, a more restrictive family of transmission protocols called simultaneous progression switching protocols is proposed with predictability enhancing properties. Moreover, hierarchical scheduling for parallel DAG tasks under parameter uncertainty is studied to achieve temporal- and spatial isolation. Fault-tolerance as a supplementary reliability aspect of real-time systems is examined, in spite of dynamic external causes of fault. Using various job variants, which trade off increased execution time demand with increased error protection, a state-based policy selection strategy is proposed, which provably assures an acceptable quality-of-service (QoS). Lastly, the temporal misalignment of sensor data in sensor fusion applications in cyber-physical systems is examined. A modular analysis based on minimal properties to obtain an upper-bound for the maximal sensor data time-stamp difference is proposed

Composition and synchronization of real-time components upon one processor

Many industrial systems have various hardware and software functions for controlling mechanics. If these functions act independently, as they do in legacy situations, their overall performance is not optimal. There is a trend towards optimizing the overall system performance and creating a synergy between the different functions in a system, which is achieved by replacing more and more dedicated, single-function hardware by software components running on programmable platforms. This increases the re-usability of the functions, but their synergy requires also that (parts of) the multiple software functions share the same embedded platform. In this work, we look at the composition of inter-dependent software functions on a shared platform from a timing perspective. We consider platforms comprised of one preemptive processor resource and, optionally, multiple non-preemptive resources. Each function is implemented by a set of tasks; the group of tasks of a function that executes on the same processor, along with its scheduler, is called a component. The tasks of a component typically have hard timing constraints. Fulfilling these timing constraints of a component requires analysis. Looking at a single function, co-operative scheduling of the tasks within a component has already proven to be a powerful tool to make the implementation of a function more predictable. For example, co-operative scheduling can accelerate the execution of a task (making it easier to satisfy timing constraints), it can reduce the cost of arbitrary preemptions (leading to more realistic execution-time estimates) and it can guarantee access to other resources without the need for arbitration by other protocols. Since timeliness is an important functional requirement, (re-)use of a component for composition and integration on a platform must deal with timing. To enable us to analyze and specify the timing requirements of a particular component in isolation from other components, we reserve and enforce the availability of all its specified resources during run-time. The real-time systems community has proposed hierarchical scheduling frameworks (HSFs) to implement this isolation between components. After admitting a component on a shared platform, a component in an HSF keeps meeting its timing constraints as long as it behaves as specified. If it violates its specification, it may be penalized, but other components are temporally isolated from the malignant effects. A component in an HSF is said to execute on a virtual platform with a dedicated processor at a speed proportional to its reserved processor supply. Three effects disturb this point of view. Firstly, processor time is supplied discontinuously. Secondly, the actual processor is faster. Thirdly, the HSF no longer guarantees the isolation of an individual component when two arbitrary components violate their specification during access to non-preemptive resources, even when access is arbitrated via well-defined real-time protocols. The scientific contributions of this work focus on these three issues. Our solutions to these issues cover the system design from component requirements to run-time allocation. Firstly, we present a novel scheduling method that enables us to integrate the component into an HSF. It guarantees that each integrated component executes its tasks exactly in the same order regardless of a continuous or a discontinuous supply of processor time. Using our method, the component executes on a virtual platform and it only experiences that the processor speed is different from the actual processor speed. As a result, we can focus on the traditional scheduling problem of meeting deadline constraints of tasks on a uni-processor platform. For such platforms, we show how scheduling tasks co-operatively within a component helps to meet the deadlines of this component. We compare the strength of these cooperative scheduling techniques to theoretically optimal schedulers. Secondly, we standardize the way of computing the resource requirements of a component, even in the presence of non-preemptive resources. We can therefore apply the same timing analysis to the components in an HSF as to the tasks inside, regardless of their scheduling or their protocol being used for non-preemptive resources. This increases the re-usability of the timing analysis of components. We also make non-preemptive resources transparent during the development cycle of a component, i.e., the developer of a component can be unaware of the actual protocol being used in an HSF. Components can therefore be unaware that access to non-preemptive resources requires arbitration. Finally, we complement the existing real-time protocols for arbitrating access to non-preemptive resources with mechanisms to confine temporal faults to those components in the HSF that share the same non-preemptive resources. We compare the overheads of sharing non-preemptive resources between components with and without mechanisms for confinement of temporal faults. We do this by means of experiments within an HSF-enabled real-time operating system

Conditions d’ordonnançabilité pour un langage dirigé par le temps

The goal of this research is to define a time-triggered language for modeling real-time systems and to provide the conditions for their schedulability under Earliest Deadline First (EDF). Time-triggered languages separate the functional part of applications from their timing definition. These languages permit to model the real-time system temporal behavior by assigning system activities to particular time instants. We propose a new time-triggered framework, Extended Timing Definition Language (E-TDL), that enhances the basic task model used in Giotto and TDL while keeping compositional and modular structure brought by the latter. An E-TDL task is characterized by: an offset, a worst case execution time, a Logical Execution Time (a time interval between task release and its termination) and a period.The schedulability analysis of the system based on this new task model should be, in particular for EDF, investigated. We develop, on the concept of the processor demand criterion, conditions for the feasibility of an E-TDL system running on a single CPU under EDF. A necessary and sufficient condition is obtained by considering the global schedules that are made up of execution traces occurring at the same time in distinct modules that are able to switch their modes at predefined instants. We estimate a maximal length of the interval on which the schedulability condition must be checked. A tool suite performing the schedulability analysis of the E-TDL systems is developed.Les travaux réalisés dans le cadre de cette thèse ont pour objectif de proposer un langage de description temporelle pour des systèmes temps-réel et d’établir les conditions de leur ordonnançabilité sous l’algorithme Earliest Deadline First (EDF). Les langages de description temporelle permettent de spécifier le comportement temporel d’une application indépendamment de son comportement fonctionnel. Le programmeur déclare dans ces langages à quels instants précis doivent être déclenchées et terminées les activités du système. Cette gestion du temps, précise et explicite, apporte au système son caractère déterministe. Le langage proposé, Extended Timing Definition Language (E-TDL), étend des langages dirigés par le temps existants, en particulier Giotto et TDL, en introduisant un nouveau modèle de tâche donné par quatre paramètres : phase, pire temps d’exécution, temps d’exécution logique TEL (intervalle de temps séparant le lancement de la tâche et sa terminaison) et période.L’introduction de ce nouveau modèle de tâche nécessite de revisiter en particulier le problème de l’ordonnançabilité des tâches pour EDF. Cette thèse propose et développe une analyse basée sur la fonction de demande pour des ensembles de tâches décrites en E-TDL et s’exécutant en contexte monoprocesseur. Une condition nécessaire et suffisante est obtenue au travers d’une analyse précise des intervalles séparant les activations de tâches au sein de différents modules s’exécutant indépendamment et pouvant changer de mode à des instants prédéfinis. Une borne de la longueur des intervalles sur lesquels doit s’opérer la vérification est déterminée. Un outil mettant en œuvre cette analyse a été développé