Worst-case Execution Time Analysis Research Articles

Towards Analysing Cache-Related Preemption Delay in Non-Inclusive Cache Hierarchies

The impact of preemptions has to be considered when determining the schedulability of a task set in a preemptively scheduled system. In particular, the contents of caches can be disturbed by a preemption, thus creating context-switching costs. These context-switching costs occur when a preempted task needs to reload data from memory after a preemption. The additional delay created by this effect is termed cache-related preemption delay (CRPD). The analysis of CRPD has been extensively studied for single-level caches in the past. However, for two-level caches, the analysis of CRPD is still an emerging area of research. In contrast to a single-level cache, which is only affected by direct preemption effects, the second-level cache in a two-level hierarchy can be subject to indirect interference after a preemption. Accesses that could be served from the L1 cache in the absence of preemptions, may be forwarded to the L2 cache, as the relevant data was evicted by a preemption. These accesses create the indirect interference in the L2 cache and can cause further evictions. Recently, a CRPD analysis for two-level non-inclusive cache hierarchies was proposed. In this paper, we show that this state-of-the-art analysis is unsafe as it potentially underestimates the CRPD. Furthermore, we show that the analysis is pessimistic and can overestimate the indirect preemption effects. To address these issues, we propose a novel analysis approach for the CRPD in a two-level non-inclusive cache hierarchy. We prove the correctness of the presented approach based on the set of feasible program execution traces. We implemented the presented approach in a worst-case execution time (WCET) analysis tool and compared the performance to existing analysis methods. Our evaluation shows that the presented analysis increases task set schedulability by up to 14 percentage points compared to the state-of-the-art analysis.

WCET Analysis Based on Micro-Architecture Modeling for Embedded System Security

To ensure the timely execution of hard real-time applications, scheduling analysis techniques must consider safe upper bounds on the possible execution durations of tasks or runnables, which are referred to as Worst-Case Execution Times (WCET). Bounding WCET requires not only program path analysis but also modeling the impact of micro-architectural features present in modern processors. In this paper, we model the ARMv8 ISA and micro-architecture including instruction cache, branch predictor, instruction prefetching strategies, out-of-order pipeline. We also consider the complex interactions between these features (e.g., cache misses caused by branch predictions and branch misses caused by instruction pipelines) and estimate the WCET of the program using the Implicit Path Enumeration Technique (IPET) static WCET analysis method. We compare the estimated WCET of benchmarks with the observed WCET on two ARMv8 boards. The ratio of estimated to observed WCET values for all benchmarks is greater than 1, demonstrating the security of the analysis.

Design and Implementation of a Simulator for Precise WCET Estimation of Multithreaded Program

Significant attention is paid to static analysis methods for Worst Case Execution Time Analysis of programs. However, major effort has been focused on WCET analysis of sequential programs and only a little work is performed on that of multithreaded programs. Shared computer architectural units such as shared instruction cache pose a special challenge in WCET analysis of multithreaded programs. The principle used to improve the precision of shared instruction cache analysis is to shrink the set of interferences, from competing threads to an instruction in a thread that may be accessed from shared instruction cache, using static analysis extended to barriers. An Algorithm that address barrier synchronization and used by the simulator is designed and benchmark programs consisting of both barrier synchronization and computation task synchronization are presented. Improvements in precision upto 20 % are observed while performing the proposed WCET analysis on benchmark programs.

Analysis of benchmark program results of worst case execution time for multithreaded programs

<span lang="EN-US">Worst case execution time (WCET) estimation by static analyzers is being investigated with keen interest in view of their importance in designing applications for embedded systems that have real- time requirements. Recent work reported on improving precision of estimates of WCET of multithreaded programs, by improving precision of shared instruction cache analysis, shows significant improvement in WCET estimates. An abstraction of a multithreaded program as Hoare’s communicating sequential processes (CSP) specification program is realized to enable higher precision in micro-architectural modelling unit of WCET analyzer of multithreaded programs. A thread is viewed as a composition of CSP. The WCET of a thread may be viewed as dependent on WCET of processes in a thread and in turn WCET of each process is the WCET of the sub-graph of basic block nodes in the process. Corresponding CSP in interacting threads, based on calls to synchronization primitives wait and notify, generate shared cache interferences to the process in a thread whose WCET is being estimated by the analyzer. A detailed study of how partitioning of a thread into processes yields higher reduction in WCET is performed on benchmark programs. Furthermore, which processes in a thread yield higher reduction in WCET is performed.</span>

Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems

The current journal paper proposes an end-to-end analysis for the numerical implementation of a two-degrees-of-freedom (2DOF) control structure, starting from the sampling rate selection mechanism via a quasi-optimal manner, along with the estimation of the worst-case execution time (WCET) for the specified controller. For the sampling rate selection, the classical Shannon–Nyquist sampling theorem is replaced by an optimization problem that encompasses the trade-off between the fidelity of the controllers’ representation, along with the fidelity of the resulting closed-loop systems, and the implementation difficulty of the controllers. Additionally, the WCET analysis can be seen as a verification step before automatic code generation, a computational model being provided. The proposed computational model encompasses infinite-impulse response (IIR) and finite-impulse response (FIR) filter models for the controller implementation, along with additional relevant phenomena being discussed, such as saturation, signal scaling and anti-windup techniques. All proposed results will be illustrated on a DC motor benchmark control problem.

A Framework for Calculating WCET Based on Execution Decision Diagrams

Due to the dynamic behaviour of acceleration mechanisms such as caches and branch predictors, static Worst-case Execution Time (WCET) analysis methods tend to scale poorly to modern hardware architectures. As a result, a trade-off must be found between the duration and the precision of the analysis, leading to an overestimation of the WCET bounds. In turn, this reduces the schedulability and resource usage of the system. In this article, we present a new data structure to speed up the analysis: the eXecution Decision Diagram (XDD), which is an ad hoc extension of Binary Decision Diagrams tailored for WCET analysis problems. We show how XDDs can be used to represent efficiently execution states in a modern hardware platform. Moreover, we propose a new process to build the Integer Linear Programming system of the Implicit Path Enumeration Technique using XDD. We use benchmark applications to demonstrate how the use of an XDD substantially increases the scalability of WCET analysis and the precision of the obtained WCET.

Hybrid probabilistic timing analysis with Extreme Value Theory and Copulas

The primary challenge of time-critical systems is to guarantee that a task completes its execution before its deadline. In order to ensure compliance with timing requirements, it is necessary to analyze the timing behavior of the overall software. Worst-Case Execution Time (WCET) represents the maximum amount of time an individual software unit takes to execute and is used for scheduling analysis in safety-critical systems. Recent studies focus on statistical approaches, which augments measurement-based timing analysis with probabilistic confidence level by applying stochastic methods. Common approaches either utilize Extreme Value Theory (EVT) for end-to-end measurements or convolution techniques for a group of program units to derive probabilistic upper bounds for the program. The former method does not ensure path coverage while the latter suffers from ignoring possible extreme cases. Furthermore, current state-of-the-art convolution methods employed in a commercial WCET analysis tool overestimates the results because of using the assumption of worst-case dependence between basic blocks. In this paper, we propose a hybrid probabilistic timing analysis framework and modeling the program units with EVT to capture extreme cases and use Copulas to model the dependency between the units to derive tighter distributional bounds in order to mitigate the effects of co-monotonic assumptions.

A generic framework to integrate data caches in the WCET analysis of real-time systems

Worst-case execution time (WCET) analysis of systems with data caches is one of the key challenges in real-time systems. Caches exploit the inherent reuse properties of programs by temporarily storing certain memory contents near the processor, in order that further accesses to such contents do not require costly memory transfers. Current worst-case data cache analysis methods focus on specific cache organizations (set-associative LRU, locked, ACDC, etc.), most of the times adapting techniques designed to analyze instruction caches. On the other hand, there are methodologies to analyze the data reuse of a program, independently of the data cache. In this paper we propose a generic WCET analysis framework to analyze data caches taking profit of such reuse information. It includes the categorization of data references and their integration in an IPET model. We apply it to a conventional LRU cache, an ACDC, and other baseline systems, and compare them using the TACLeBench benchmark suite. Our results show that persistence-based LRU analyses dismiss essential information on data, and a reuse-based analysis improves the WCET bound around 17% in average. In general, the best WCET estimations are obtained with optimization level 2, where the ACDC cache performs 39% better than a set-associative LRU.

Big data-driven scheduling optimization algorithm for Cyber–Physical Systems based on a cloud platform

In this paper, we study big data-driven Cyber–Physical Systems (CPS) through cloud platforms and design scheduling optimization algorithms to improve the efficiency of the system. A task scheduling scheme for large-scale factory access under cloud–edge collaborative computing architecture is proposed. The method firstly merges the directed acyclic graphs on cloud-side servers and edge-side servers; secondly, divide the tasks using a critical path-based partitioning strategy to effectively improve the allocation accuracy; then achieves load balancing through reasonable processor allocation, and finally compares and analyses the proposed task scheduling algorithm through simulation experiments. The experimental system is thoroughly analysed, hierarchically designed, and modelled, simulated, and the experimental data analysed and compared with related methods. The experimental results prove the effectiveness and correctness of the worst-case execution time analysis method and the idea of big data-driven CPS proposed in this paper and show that big data knowledge can help improve the accuracy of worst-case execution time analysis. This paper implements a big data-driven scheduling optimization algorithm for Cyber–Physical Systems based on a cloud platform, which improves the accuracy and efficiency of the algorithm by about 15% compared to other related studies.

Scenario-Aware Program Specialization for Timing Predictability

The successful application of static program analysis strongly depends on flow facts of a program such as loop bounds, control-flow constraints, and operating modes. This problem heavily affects the design of real-time systems, since static program analyses are a prerequisite to determine the timing behavior of a program. For example, this becomes obvious in worst-case execution time (WCET) analysis, which is often infeasible without user-annotated flow facts. Moreover, many timing simulation approaches use statically derived timings of partial program paths to reduce simulation overhead. Annotating flow facts on binary or source level is either error-prone and tedious, or requires specialized compilers that can transform source-level annotations along with the program during optimization. To overcome these obstacles, so-called scenarios can be used. Scenarios are a design-time methodology that describe a set of possible system parameters, such as image resolutions, operating modes, or application-dependent flow facts. The information described by a scenario is unknown in general but known and constant for a specific system. In this article, 1 we present a methodology for scenario-aware program specialization to improve timing predictability. Moreover, we provide an implementation of this methodology for embedded software written in C/C++. We show the effectiveness of our approach by evaluating its impact on WCET analysis using almost all of TACLeBench–achieving an average reduction of WCET of 31%. In addition, we provide a thorough qualitative and evaluation-based comparison to closely related work, as well as two case studies.

ABench2020: A WCET Benchmark Suite in Ada Programming Language

Validation is an important part of the development process of real-time systems. During validation, it should be proved that, the system meets its timing constraints. Therefore, worst-case execution time (WCET) analysis is performed. Currently, several WCET analysis tools are being developed. Researchers who develop new WCET analysis tools, need benchmarks to evaluate and compare their tools with alternatives. These benchmarks are called WCET benchmarks. In this paper a new WCET benchmark suite named ABench2020 is introduced. Its main focus is to provide benchmark programs in Ada programming language for WCET research. Therefore, ABench2020 includes several benchmark programs which were written in Ada programming language. The benchmark programs implement different program structures and properties to help researchers test their systems from different aspects. ABench2020 was published as open source. It is freely available over the Internet.

Dealing with Uncertainty in pWCET Estimations

The problem of estimating a tight and safe Worst-Case Execution Time (WCET), needed for certification in safety-critical environment, is a challenging problem for modern embedded systems. A possible solution proposed in past years is to exploit statistical tools to obtain a probability distribution of the WCET. These probabilistic real-time analyses for WCET are, however, subject to errors, even when all the applicability hypotheses are satisfied and verified. This is caused by the uncertainties of the probabilistic-WCET distribution estimator. This article aims at improving the measurement-based probabilistic timing analysis approach providing some techniques to analyze and deal with such uncertainties. The so-called region of acceptance model based on state-of-the-art statistical test procedures is defined over the distribution space parameters. From this model, a set of strategies is derived and discussed to provide the methodology to deal with the trade-off safety/tightness of the WCET estimation. These techniques are then tested over real datasets, including industrial safety-critical applications, to show the increased value of using the proposed approach in probabilistic WCET analyses.

Real time spent on real time

The story of the development of a sound, static method for worst-case execution-time analysis.

Energy-efficient Real-time Scheduling on Multicores

With the increasing demand for higher performance, the adoption of multicores has been a major stepping stone in the evolution of hard real-time systems. Though the computational bandwidth is increased due to parallel processing, the indispensable interactivity between the hierarchical memory sub-system and multiple cores has further aggravated the already complex worst case execution time (WCET) analysis of tasks. Furthermore, caches have the biggest influence on task execution time, and the inclusion of shared caches further increases the unpredictability of the system. Cache partitioning techniques have been proposed as a counter-measure to decouple the shared cache latency from the WCET. However, existing energy-efficient scheduling algorithms are oblivious to the unpredictable nature of shared caches or cache partitioning techniques, thus, diminishing their applicability to real-world systems. Without considering inter-task cache contention, directly using existing algorithms or attempting to allocate and schedule a taskset with cache-partition assignments can result in cache violations. To overcome this dilemma, we propose a novel approach to model inter-task cache contention as a dependency graph to be used by well-established algorithms to minimize energy consumption. Extensive simulations demonstrate the effectiveness of our approach to minimize energy consumption while also avoiding cache violations.

EMSBench: Benchmark and Testbed for Reactive Real-Time Systems

Benchmark suites for real-time embedded systems (RTES) usually contain only pure computations that are often used in this domain. They allow to evaluate computing performance, but do not reproduce the complexity and behaviour that is typical for such systems. Actual RTES have to interact with the physical environment, which is often reflected by code that is executed concurrently. In this article, we present the software package EMSBench that mimics such complex behaviour, and highlight some of its use cases. The benchmark code ems of EMSBench is based on the open-source engine management system (EMS) FreeEMS. Additionally, EMSBench contains a trace generator (tg) that provides input signals for ems and enables to execute ems close to reality. We provide detailed descriptions of the ems's execution behaviour and of trace generation. EMSBench can be used as test or benchmark program to compare different hardware platforms, e.g. in terms of schedulability. Also, we use EMSBench as a benchmark for static worst-case execution time (WCET) analysis and compare these results to measurements performed on existing hardware. Our results based on the OTAWA WCET estimation tool show WCET overestimations by the static analysis from 11.9% to 41.1% depending on the complexity of the analysed functions.

MBBench: WCET Kıyaslama Kümesi

One of the important features of any real-time software is the worst-case execution time (WCET). To get an understanding of the timing behavior of real-time systems and to prove that the real-time software meets its deadlines, WCET analysis is performed. Today, researchers actively develop new WCET analysis methods and tools. Therefore, they need benchmark programs to evaluate and compare their work. To meet this need, in this study we present a new benchmark suite, called MBBench. MBBench includes a collection of C programs for Linux operating system and RTEMS real-time operating system. Its main aim is to help the evaluation and comparison of measurement-based WCET analysis methods/tools. MBBench has been published as open source. It can be obtained freely over the Internet.

Fast and Predictable Non-Volatile Data Memory for Real-Time Embedded Systems

Energy consumption and predictability are two important constraints in designing real-time embedded systems and one of the recently proposed solutions for the energy consumption problem is the use of non-volatile memories instead of conventional SRAM due to their lower leakage power consumption and smaller cell area. Furthermore, because of their non-volatile nature, the use of these memories helps normally-off computing and energy harvesting systems to resume their execution without a large startup delay. However, the write access latency of non-volatile memories is considerably more than that of SRAM which can decrease the performance and predictability of the system if not managed correctly. In this article, we present a predictable fully non-volatile data memory for real-time embedded systems which improves both worst-case execution time (WCET) and performance of the system using a hybrid hardware-software solution. As part of this solution, we add a special write buffer to the memory controller and adopt a multi-bank memory configuration which improves the overall latency of write operations. Since write buffers usually help with the performance problem but they make WCET estimation more complex, we also present a new low-overhead software-based optimization technique that makes the proposed system more predictable without imposing considerable overhead. Furthermore, we present the WCET analysis algorithm which can be used to estimate the WCET of applications during the design time. The results show that compared to a hybrid SRAM-NVM architecture, the proposed solution improves the WCET and performance by 33 and 47 percent, respectively.

Reducing the WCET and analysis time of systems with simple lockable instruction caches.

One of the key challenges in real-time systems is the analysis of the memory hierarchy. Many Worst-Case Execution Time (WCET) analysis methods supporting an instruction cache are based on iterative or convergence algorithms, which are rather slow. Our goal in this paper is to reduce the WCET analysis time on systems with a simple lockable instruction cache, focusing on the Lock-MS method. First, we propose an algorithm to obtain a structure-based representation of the Control Flow Graph (CFG). It organizes the whole WCET problem as nested subproblems, which takes advantage of common branch-and-bound algorithms of Integer Linear Programming (ILP) solvers. Second, we add support for multiple locking points per task, each one with specific cache contents, instead of a given locked content for the whole task execution. Locking points are set heuristically before outer loops. Such simple heuristics adds no complexity, and reduces the WCET by taking profit of the temporal reuse found in loops. Since loops can be processed as isolated regions, the optimal contents to lock into cache for each region can be obtained, and the WCET analysis time is further reduced. With these two improvements, our WCET analysis is around 10 times faster than other approaches. Also, our results show that the WCET is reduced, and the hit ratio achieved for the lockable instruction cache is similar to that of a real execution with an LRU instruction cache. Finally, we analyze the WCET sensitivity to compiler optimization, showing for each benchmark the right choices and pointing out that O0 is always the worst option.

A scenario- and platform-aware design flow for image-based control systems

Image-based control (IBC) systems are increasingly being used in various domains including autonomous driving. The key challenge in IBC is to deal with high computation demand while guaranteeing performance and safety requirements such as stability. While modern industrial heterogeneous platforms, such as NVIDIA Drive, offer the necessary compute power, application development on these platforms with performance and safety guarantees is still challenging. Alternative time-predictable platforms are not yet in widespread use.A typical design flow for IBC systems consists of three distinct elements: (i) mapping tasks onto platform resources; (ii) timing analysis, consisting of task-level worst-case execution time (WCET) analysis and application-level analysis to obtain worst-case performance bounds on aspects such as latency and throughput; (iii) controller design using the obtained performance bounds, ensuring performance and safety. While such a three-step design process is modular in nature, it usually leads to over-dimensioned systems with sub-optimal performance, because task- and/or application-level timing bounds are pessimistic.We present a scenario- and platform-aware design flow for IBC systems that exploits frequently occurring workload scenarios to optimize performance. For industrial platforms, where tight task-level WCET bounds are difficult to obtain, we moreover propose to use frequently occurring task execution times instead of WCET estimates to obtain tight application-level temporal bounds. During controller design, we then optimize performance and guarantee stability by identifying appropriate system scenarios and by designing a switched controller that switches between those scenarios. We illustrate our method considering a predictable multiprocessor system-on-chip platform - CompSOC. We validate the proposed method using hardware-in-the-loop (HiL) experiments with an industrial heterogeneous multiprocessor platform - NVIDIA Drive PX2 - considering a lane keeping assist system (LKAS). We obtain an improved control performance compared to state-of-the-art IBC design.

Execution Time of Optimal Controls in Hard Real Time, a Minimal Execution Time Solution for Nonlinear SDRE

Many engineering fields, such as automotive, aerospace, and the emerging challenges towards industry 4.0, have to deal with Real-Time (RT) or Hard Real Time (HRT) systems, where temporal constraints must be fulfilled, to avoid critical behaviours or unacceptable system failures. For this reason, estimation of code's Worst-Case Execution Time (WCET) has received lots attention because in RT systems a fundamental requirement is to guarantee at least a temporal upper bound of the code execution for avoiding any drawbacks. However, until now there is no approved method to compute extremely tight WCET. Nowadays, indeed, HRT requirements are solved via hardware, using multi-cores embedded boards that allow the computation of the deterministic Execution Time (ET). The availability of these embedded architectures has encouraged the designers to look towards more computationally demanding optimal control techniques for RT scenarios, and to compare and analyze performances also evaluating a tight WCET. However, this area still lacks deep investigations. This paper has the intent of analysing results regarding the choice between three of the most established optimal controls (LQR, MPC, SDRE), providing the first link between WCET analysis and control algorithms performances. Moreover, this work shows how it is also possible to obtain a minimal ET solution for the nonlinear SDRE controller. The results might be useful for future implementations and for coping with Industry 4.0 emerging challenges. Furthermore, this approach can be useful in control system engineering field, especially in the design stage for RT or HRT systems, where temporal bounds have to be fulfilled jointly with all the other application's specifications.