A Review of Priority Assignment in Real-Time Systems

It is over 40 years since the first seminal work on priority assignment for real-time systems using fixed priority scheduling. Since then, huge progress has been made in the field of real-time scheduling with more complex models and schedulability analysis techniques developed to better represent and analyse real systems. This tutorial style review provides an in-depth assessment of priority assignment techniques for hard real-time systems scheduled using fixed priorities. It examines the role and importance of priority in fixed priority scheduling in all of its guises, including: preemptive and non-pre-emptive scheduling; covering single- and multi-processor systems, and networks. A categorisation of optimal priority assignment techniques is given, along with the conditions on their applicability. We examine the extension of these techniques via sensitivity analysis to form robust priority assignment policies that can be used even when there is only partial information available about the system. The review covers priority assignment in a wide variety of settings including: mixed-criticality systems, systems with deferred pre-emption, and probabilistic real-time systems with worstcase execution times described by random variables. It concludes with a discussion of open problems in the area of priority assignment

Priority Assignment for Real-Time Flows in WirelessHART Sensor-Actuator Networks

Recent years have witnessed the adoption of wireless sensor-actuator networks as a communication infrastructure for process control applications. An important enabling technology for industrial process control is WirelessHART, an open wireless sensor-actuator network standard specifically developed for process industries. A key challenge faced byWirelessHART networks is to meet the stringent real-time communication requirements imposed by feedback control systems in process industries. Fixed priority scheduling, a popular scheduling policy in real-time networks, has recently been shown to be an effective real-time transmission scheduling policy in WirelessHART networks. Priority assignment has a major impact on the schedulability of real-time flows in these networks. This paper investigates the open problem of priority assignment for periodic real-time flows for feedback control loops closed through a WirelessHART network. We first propose an optimal priority assignment algorithm based on branch and bound for any given worst case delay analysis. We then propose an efficient heuristic search algorithm for priority assignment. We also identify special cases where the heuristic search is optimal. Simulations based on random networks and the real topology of a physical sensor network testbed showed that the heuristic search algorithm achieved near optimal performance in terms of schedulability, while significantly outperforming traditional real-time priority assignment policies

Exact Speedup Factors and Sub-Optimality for Non-Preemptive Scheduling

Fixed priority scheduling is used in many real-time systems; however, both preemptive and non-preemptive variants (FP-P and FP-NP) are known to be sub-optimal when compared to an optimal uniprocessor scheduling algorithm such as preemptive earliest deadline first (EDF-P). In this paper, we investigate the sub-optimality of fixed priority non-preemptive scheduling. Specifically, we derive the exact processor speed-up factor required to guarantee the feasibility under FP-NP (i.e. schedulability assuming an optimal priority assignment) of any task set that is feasible under EDF-P. As a consequence of this work, we also derive a lower bound on the sub-optimality of non-preemptive EDF (EDF-NP). As this lower bound matches a recently published upper bound for the same quantity, it closes the exact sub-optimality for EDF-NP. It is known that neither preemptive, nor non-preemptive fixed priority scheduling dominates the other, in other words, there are task sets that are feasible on a processor of unit speed under FP-P that are not feasible under FP-NP and vice-versa. Hence comparing these two algorithms, there are non-trivial speedup factors in both directions. We derive the exact speed-up factor required to guarantee the FP-NP feasibility of any FP-P feasible task set. Further, we derive the exact speed-up factor required to guarantee FP-P feasibility of any constrained-deadline FP-NP feasible task set

Prioritized maximal scheduling in wireless networks

Abstract-This paper considers the scheduling problem in wireless networks. We focus on prioritized maximal scheduling, where a maximal scheduler chooses the links in an order specified by certain priority. We first analyze the capacity region of a maximal scheduler with fixed priority, where a lower bound is formulated and shown to be tight. Next we propose both centralized and distributed algorithms to search for the optimal priority for a given arrival rate. The algorithms are optimal in the sense that, if the arrival rate is in the lower bound region of any prioritized maximal scheduling, it is stable under the result of our algorithms. Finally, by combining the priority assignment and maximal scheduling, we prove that we can achieve a certain fraction of the optimal capacity region, which is bounded below by a constant for most networks

Fixed priority scheduling with pre-emption thresholds and cache-related pre-emption delays: integrated analysis and evaluation

Commercial off-the-shelf programmable platforms for real-time systems typically contain a cache to bridge the gap between the processor speed and main memory speed. Because cache-related pre-emption delays (CRPD) can have a significant influence on the computation times of tasks, CRPD have been integrated in the response time analysis for fixed-priority pre-emptive scheduling (FPPS). This paper presents CRPD aware response-time analysis of sporadic tasks with arbitrary deadlines for fixed-priority pre-emption threshold scheduling (FPTS), generalizing earlier work. The analysis is complemented by an optimal (pre-emption) threshold assignment algorithm, assuming the priorities of tasks are given. We further improve upon these results by presenting an algorithm that searches for a layout of tasks in memory that makes a task set schedulable. The paper includes an extensive comparative evaluation of the schedulability ratios of FPPS and FPTS, taking CRPD into account. The practical relevance of our work stems from FPTS support in AUTOSAR, a standardized development model for the automotive industry

Priority assignment on an avionics switched Ethernet network (QoS AFDX)

International audienceAFDX (Avionics Full Duplex Switched Ethernet) standardised as ARINC 664 is a major upgrade for avionics systems. For current aircrafts, it implements a FIFO scheduling policy and allows the transmission of sporadic flows between avionics functions distributed on a set of end systems. The certification imposes to guarantee that the end-to-end delay of any frame transmitted on the network is upper-bounded and that no frame is lost due to buffer overflow. This guarantee is obtained thanks to a worst-case analysis which is based on either network calculus or trajectory approach. However it leads to an over-dimensioning of the network. For future aircraft, it is envisioned to use a Fixed Priority scheduling policy in order to better use network resources (QoS AFDX). Existing AFDX switches implement two priority levels. A worst-case analysis of such a network exists, based on the Trajectory approach. Thus, the remaining issue is to assign efficiently the available priorities to the flows. The contribution of this paper deals with this issue. It proposes to assign the priorities to the flows using the well-know Optimal Priority Assignment algorithm (OPA) which was first defined for monoprocessor preemptive systems. The proposed solution is applied on two case studies. The overall worst-case delay is reduced by 30 % on a small configuration and 20 % on a realistic one

Blocking analysis of spin locks under partitioned fixed-priority scheduling

Partitioned fixed-priority scheduling is widely used in embedded multicore real-time systems. In multicore systems, spin locks are one well-known technique used to synchronize conflicting accesses from different processor cores to shared resources (e.g., data structures). The use of spin locks can cause blocking. Accounting for blocking is a crucial part of static analysis techniques to establish correct temporal behavior. In this thesis, we consider two aspects inherent to the partitioned fixed-priority scheduling of tasks sharing resources protected by spin locks: (1) the assignment of tasks to processor cores to ensure correct timing, and (2) the blocking analysis required to derive bounds on the blocking. Heuristics commonly used for task assignment fail to produce assignments that ensure correct timing when shared resources protected by spin locks are used. We present an optimal approach that is guaranteed to find such an assignment if it exists (under the original MSRP analysis). Further, we present a well-performing and inexpensive heuristic. For most spin lock types, no blocking analysis is available in prior work, which renders them unusable in real-time systems. We present a blocking analysis approach that supports eight different types and is less pessimistic than prior analyses, where available. Further, we show that allowing nested requests for FIFO- and priority-ordered locks renders the blocking analysis problem NP-hard.Partitioned Fixed-Priority Scheduling ist in eingebetteten Multicore-Echtzeitsystemen weit verbreitet. In Multicore-Systemen sind Spinlocks ein bekannter Mechanismus um konkurrierende Zugriffe von unterschiedlichen Prozessorkernen auf geteilte Resourcen (z.B. Datenstrukturen) zu koordinieren. Bei der Nutzung von Spinlocks können Blockierungen auftreten, die in statischen Analysetechniken zum Nachweis des korrekten zeitlichen Verhaltens eines Systems zu berücksichtigen sind. Wir betrachten zwei Aspekte von Partitioned Fixed-Priority Scheduling in Verbindung mit Spinlocks zum Schutz geteilter Resourcen: (1) die Zuweisung von Tasks zu Prozessorkernen unter Einhaltung zeitlicher Vorgaben und (2) die Analyse zur Entwicklung oberer Schranken für die Blockierungsdauer. Übliche Heuristiken finden bei der Nutzung von Spinlocks oft keine Taskzuweisung, bei der die Einhaltung zeitlicher Vorgaben garantiert ist. Wir stellen einen optimalen Ansatz vor, der dies (mit der ursprünglichen MSRP Analyse) garantiert, falls eine solche Zuweisung existiert. Zudem präsentieren wir eine leistungsfähige Heuristik. Die meisten Arten von Spinlocks können mangels Analyse der Blockierungsdauer nicht für Echtzeitsysteme verwendet werden. Wir stellen einen Analyseansatz vor, der acht Spinlockarten unterstützt und weniger pessimistische Schranken liefert als vorherige Analysen, soweit vorhanden. Weiterhin zeigen wir, dass die Analyse bei verschachtelten Zugriffen mit FIFO- und prioritäts-geordneten Locks ein NP-hartes Problem ist

A Framework for Multi-core Schedulability Analysis Accounting for Resource Stress and Sensitivity

Timing verification of multi-core systems is complicated by contention for shared hardware resources between co-running tasks on different cores. This paper introduces the Multi-core Resource Stress and Sensitivity (MRSS) task model that characterizes how much stress each task places on resources and how much it is sensitive to such resource stress. This model facilitates a separation of concerns, thus retaining the advantages of the traditional two-step approach to timing verification (i.e. timing analysis followed by schedulability analysis). Response time analysis is derived for the MRSS task model, providing efficient context-dependent and context independent schedulability tests for both fixed priority preemptive and fixed priority non-preemptive scheduling. Dominance relations are derived between the tests, along with complexity results, and proofs of optimal priority assignment policies. The MRSS task model is underpinned by a proof-of-concept industrial case study. The problem of task allocation is considered in the context of the MRSS task model, with Simulated Annealing shown to provide an effective solution