Claire Maiza

Improved cache related pre-emption delay aware response time analysis for fixed priority pre-emptive systems

Without the use of caches the increasing gap between processor and memory speeds in modern embedded microprocessors would have resulted in memory access times becoming an unacceptable bottleneck. In such systems, cache related pre-emption delays can be a significant proportion of task execution times. To obtain tight bounds on the response times of tasks in pre-emptively scheduled systems, it is necessary to integrate worst-case execution time analysis and schedulability analysis via the use of an appropriate model of pre-emption costs.In this paper, we introduce a new method of bounding pre-emption costs, called the ECB-Union approach. The ECB-Union approach complements an existing UCB-Union approach. We improve upon both of these approaches via the introduction of Multiset variants which reduce the amount of pessimism in the analysis. Further, we combine these Multiset approaches into a simple composite approach that dominates both. These approaches to bounding pre-emption costs are integrated into response time analysis for fixed priority pre-emptively scheduled systems. Further, we extend this analysis to systems where tasks can access resources in mutual exclusion, in the process resolving omissions in existing models of pre-emption delays. A case study and empirical evaluation demonstrate the effectiveness of the ECB-Union, Multiset and combined approaches for a wide range of different cache configurations including cache utilization, cache set size, reuse, and block reload times.

Cache Related Pre-emption Delay Aware Response Time Analysis for Fixed Priority Pre-emptive Systems

Without the use of cache the increasing gap between processor and memory speeds in modern embedded microprocessors would have resulted in memory access times becoming an unacceptable bottleneck. In such systems, cache related pre-emption delays can be a significant proportion of task execution times. To obtain tight bounds on the response times of tasks in pre-emptively scheduled systems, it is necessary to integrate worst-case execution time analysis and schedulability analysis via the use of an appropriate model of pre-emption costs. In this paper, we introduce a new method of bounding pre-emption costs, called the ECB-Union approach. The ECB-Union approach complements an existing UCB-Union approach. We combine the two into a simple composite approach that dominates both. These approaches are integrated into response time analysis for fixed priority pre-emptively scheduled systems. Further, we extend this analysis to systems where tasks can access resources in mutual exclusion, in the process resolving omissions in existing models of pre-emption delays. A case study and empirical evaluation demonstrate the e?ectiveness of the ECB-Union and combined approaches for a wide range of di?erent cache configurations including cache utilization, cache set size, reuse, and block reload times.

Analysis of Probabilistic Cache Related Pre-emption Delays

This paper integrates analysis of probabilistic cache related pre-emption delays (pCRPD) and static probabilistic timing analysis (SPTA) for multipath programs running on a hardware platform that uses an evict-on-miss random cache replacement policy. The SPTA computes an upper bound on the probabilistic worst-case execution time (pWCET) of the program, which is an exceedance function giving the probability that the execution time of the program will exceed any given value on any particular run. The pCRPD analysis determines the maximum effect of a pre-emption on the pWCET. The integration between SPTA and pCRPD updates the pWCET to account for the effects of one or more pre-emptions at any arbitrary points in the program. This integration is a necessary step enabling effective schedulability analysis for probabilistic hard real-time systems that use pre-emptive or co-operative scheduling. The analysis is illustrated via a number of benchmark programs.

Resilience analysis: tightening the CRPD bound for set-associative caches

In preemptive real-time systems, scheduling analyses need - in addition to the worst-case execution time - the context-switch cost. In case of preemption, the preempted and the preempting task may interfere on the cache memory. This interference leads to additional cache misses in the preempted task. The delay due to these cache misses is referred to as the cache-related preemption delay~(CRPD), which constitutes the major part of the context-switch cost. In this paper, we present a new approach to compute tight bounds on the CRPD for LRU set-associative caches, based on analyses of both the preempted and the preempting task. Previous approaches analyzing both the preempted and the preempting task were either imprecise or unsound. As the basis of our approach we introduce the notion of resilience: The resilience of a memory block of the preempted task is the maximal number of memory accesses a preempting task could perform without causing an additional miss to this block. By computing lower bounds on the resilience of blocks and an upper bound on the number of accesses by a preempting task, one can guarantee that some blocks may not contribute to the CRPD. The CRPD analysis based on resilience considerably outperforms previous approaches.

Integrating cache related pre-emption delay analysis into EDF scheduling

Cache memories have been introduced into embedded systems to prevent memory access times from becoming an unacceptable performance bottleneck. Memory and cache are split into blocks containing instructions and data. During a pre-emption, blocks from the pre-empting task can evict those of the pre-empted task. When the pre-empted task is resumed, if it then has to re-load the evicited blocks, cache related pre-emption delays (CRPD) are introduced which then affect schedulability of the task. In this paper, we show how existing approaches for calculating CRPD for FP scheduling can be adapted and integrated into schedulability analysis for EDF. We then compare the performance of the different approaches against an existing approach for calculating CRPD for EDF. Using a case study and empirical evaluation, we show the benefits of our CRPD analysis.

A generic and compositional framework for multicore response time analysis

In this paper, we introduce a Multicore Response Time Analysis (MRTA) framework. This framework is extensible to different multicore architectures, with various types and arrangements of local memory, and different arbitration policies for the common interconnects. We instantiate the framework for single level local data and instruction memories (cache or scratchpads), for a variety of memory bus arbitration policies, including: Round-Robin, FIFO, Fixed-Priority, Processor-Priority, and TDMA, and account for DRAM refreshes. The MRTA framework provides a general approach to timing verification for multicore systems that is parametric in the hardware configuration and so can be used at the architectural design stage to compare the guaranteed levels of performance that can be obtained with different hardware configurations. The MRTA framework decouples response time analysis from a reliance on context independent WCET values. Instead, the analysis formulates response times directly from the demands on different hardware resources.

Investigation of Scratchpad Memory for Preemptive Multitasking

We present a multitasking scratchpad memory reuse scheme (MSRS) for the dynamic partitioning of scratchpad memory between tasks in a preemptive multitasking system. We specify a means to compute the worst-case response time (WCRT) and schedulability of task sets executed using MSRS. Our scratchpad-related preemption delay (SRPD) is an analog of cache-related preemption delay (CRPD), proposed in previous work as a way to compute the worst-case cost imposed upon a preempted task by preemption in a multitasking system. Unlike CRPD, however, SRPD is independent of the number of tasks and the local memory size. We compare SRPD with CRPD by experiment and determine that neither dominates the other, i.e. either may be better for certain task sets. However, MSRS leads to improved schedulability versus cache when contention for local memory space is high, either because the local memory size is small, or because the task set is large, provided that the cost of loading blocks from external memory to scratchpad is similar to the cost of loading blocks into cache.

Timing analysis enhancement for synchronous program

Real-time critical systems can be considered as correct if they compute both right and fast enough. Functionality aspects (computing right) can be addressed using high level design methods, such as the synchronous approach that provides languages, compilers and verification tools. Real-time aspects (computing fast enough) can be addressed with static timing analysis, that aims at discovering safe bounds on the worst-case execution time (WCET) of the binary code. In this paper, we aim at improving the estimated WCET in the case where the binary code comes from a high-level synchronous design. The key idea is that some high-level functional properties may imply that some execution paths of the binary code are actually infeasible, and thus, can be removed from the worst-case candidates. In order to automatize the method, we show (1) how to trace semantic information between the high-level design and the executable code, (2) how to use a model-checker to prove infeasibility of some execution paths, and (3) how to integrate such infeasibility information into an existing timing analysis framework. Based on a realistic example, we show that there is a large possible improvement for a reasonable computation time overhead.

Response Time Analysis of Synchronous Data Flow Programs on a Many-Core Processor

In this paper we introduce a response time analysis technique for Synchronous Data Flow programs mapped to multiple parallel dependent tasks running on a compute cluster of the Kalray MPPA-256 many-core processor. The analysis we derive computes a set of response times and release dates that respect the constraints in the task dependency graph. We extend the Multicore Response Time Analysis (MRTA) framework by deriving a mathematical model of the multi-level bus arbitration policy used by the MPPA. Further, we refine the analysis to account for the release dates and response times of co-runners, and the use of memory banks. Further improvements to the precision of the analysis were achieved by splitting each task into two sequential phases, with the majority of the memory accesses in the first phase, and a small number of writes in the second phase. Our experimental evaluation focused on an avionics case study. Using measurements from the Kalray MPPA-256 as a basis, we show that the new analysis leads to response times that are a factor of 4.15 smaller for this application, than the default approach of assuming worst-case interference on each memory access.

Selfish-LRU: Preemption-aware caching for predictability and performance

We introduce Selfish-LRU, a variant of the LRU (least recently used) cache replacement policy that improves performance and predictability in preemptive scheduling scenarios. In multitasking systems with conventional caches, a single memory access by a preempting task can trigger a chain reaction leading to a large number of additional cache misses in the preempted task. Selfish-LRU prevents such chain reactions by first evicting cache blocks that do not belong to the currently active task. Simulations confirm that Selfish-LRU reduces the CRPD (cache-related preemption delay) as well as the overall number of cache misses. At the same time, it simplifies CRPD analysis and results in smaller CRPD bounds.