Resource-constrained optimal scheduling of SDF graphs via timed automata (extended version)

Synchronous dataflow (SDF) graphs are a widely used formalism for modelling, analysing and realising streaming applications, both on a single processor and in a multiprocessing context. Efficient schedules are essential to obtain maximal throughput under the constraint of available number of resources. This paper presents an approach to schedule SDF graphs using a proven formalism of timed automata (TA). TA maintain a good balance between expressiveness and tractability, and are supported by powerful verification tools, e.g. Uppaal. We describe a compositional translation of SDF graphs to TA, and analysis and verification in the Uppaal state-of-the-art tool. This approach does not require any transformation of SDF graphs and helps to find schedules with a compromise between the number of processors required and the throughput. It also allows quantitative model checking and verification of user-defined properties such as the absence of deadlocks, safety, liveness and throughput analysis. This translation also forms the basis for future work to extend this analysis of SDF graphs with new features such as stochastics, energy consumption and costs

Proceedings of the first international workshop on Investigating dataflow in embedded computing architectures (IDEA 2015), January 21, 2015, Amsterdam, The Netherlands

IDEA '15 held at HiPEAC 2015, Amsterdam, The Netherlands on January 21st, 2015 is the rst workshop on Investigating Data ow in Embedded computing Architectures. This technical report comprises of the proceedings of IDEA '15. Over the years, data ow has been gaining popularity among Embedded Systems researchers around Europe and the world. However, research on data ow is limited to small pockets in dierent communities without a common forum for discussion. The goal of the workshop was to provide a platform to researchers and practitioners to present work on modelling and analysis of present and future high performance embedded computing architectures using data ow. Despite being the rst edition of the workshop, it was very pleasant to see a total of 14 submissions, out of which 6 papers were selected following a thorough reviewing process. All the papers were reviewed by at least 5 reviewers. This workshop could not have become a reality without the help of a Technical Program Committee (TPC). The TPC members not only did the hard work to give helpful reviews in time, but also participated in extensive discussion following the reviewing process, leading to an excellent workshop program and very valuable feedback to authors. Likewise, the Organisation Committee also deserves acknowledgment to make this workshop a successful event. We take this opportunity to thank everyone who contributed in making this workshop a success

Proceedings of the first international workshop on Investigating dataflow in embedded computing architectures (IDEA 2015), January 21, 2015, Amsterdam, The Netherlands

IDEA '15 held at HiPEAC 2015, Amsterdam, The Netherlands on January 21st, 2015 is the rst workshop on Investigating Data ow in Embedded computing Architectures. This technical report comprises of the proceedings of IDEA '15. Over the years, data ow has been gaining popularity among Embedded Systems researchers around Europe and the world. However, research on data ow is limited to small pockets in dierent communities without a common forum for discussion. The goal of the workshop was to provide a platform to researchers and practitioners to present work on modelling and analysis of present and future high performance embedded computing architectures using data ow. Despite being the rst edition of the workshop, it was very pleasant to see a total of 14 submissions, out of which 6 papers were selected following a thorough reviewing process. All the papers were reviewed by at least 5 reviewers. This workshop could not have become a reality without the help of a Technical Program Committee (TPC). The TPC members not only did the hard work to give helpful reviews in time, but also participated in extensive discussion following the reviewing process, leading to an excellent workshop program and very valuable feedback to authors. Likewise, the Organisation Committee also deserves acknowledgment to make this workshop a successful event. We take this opportunity to thank everyone who contributed in making this workshop a success

Green computing: power optimisation of VFI-based real-time multiprocessor dataflow applications (extended version)

Execution time is no longer the only performance metric for computer systems. In fact, a trend is emerging to trade raw performance for energy savings. Techniques like Dynamic Power Management (DPM, switching to low power state) and Dynamic Voltage and Frequency Scaling (DVFS, throttling processor frequency) help modern systems to reduce their power consumption while adhering to performance requirements. To balance flexibility and design complexity, the concept of Voltage and Frequency Islands (VFIs) was recently introduced for power optimisation. It achieves fine-grained system-level power management, by operating all processors in the same VFI at a common frequency/voltage.This paper presents a novel approach to compute a power management strategy combining DPM and DVFS. In our approach, applications (modelled in full synchronous dataflow, SDF) are mapped on heterogeneous multiprocessor platforms (partitioned in voltage and frequency islands). We compute an energy-optimal schedule, meeting minimal throughput requirements. We demonstrate that the combination of DPM and DVFS provides an energy reduction beyond considering DVFS or DMP separately. Moreover, we show that by clustering processors in VFIs, DPM can be combined with any granularity of DVFS. Our approach uses model checking, by encoding the optimisation problem as a query over priced timed automata. The model-checker Uppaal Cora extracts a cost minimal trace, representing a power minimal schedule. We illustrate our approach with several case studies on commercially available hardware

Exploring resource/performance trade-offs for streaming applications on embedded multiprocessors

Embedded system design is challenged by the gap between the ever-increasing customer demands and the limited resource budgets. The tough competition demands ever-shortening time-to-market and product lifecycles. To solve or, at least to alleviate, the aforementioned issues, designers and manufacturers need model-based quantitative analysis techniques for early design-space exploration to study trade-offs of different implementation candidates. Moreover, modern embedded applications, especially the streaming applications addressed in this thesis, face more and more dynamic input contents, and the platforms that they are running on are more flexible and allow runtime configuration. Quantitative analysis techniques for embedded system design have to be able to handle such dynamic adaptable systems. This thesis has the following contributions: - A resource-aware extension to the Synchronous Dataflow (SDF) model of computation. - Trade-off analysis techniques, both in the time-domain and in the iterationdomain (i.e., on an SDF iteration basis), with support for resource sharing. - Bottleneck-driven design-space exploration techniques for resource-aware SDF. - A game-theoretic approach to controller synthesis, guaranteeing performance under dynamic input. As a first contribution, we propose a new model, as an extension of static synchronous dataflow graphs (SDF) that allows the explicit modeling of resources with consistency checking. The model is called resource-aware SDF (RASDF). The extension enables us to investigate resource sharing and to explore different scheduling options (ways to allocate the resources to the different tasks) using state-space exploration techniques. Consistent SDF and RASDF graphs have the property that an execution occurs in so-called iterations. An iteration typically corresponds to the processing of a meaningful piece of data, and it returns the graph to its initial state. On multiprocessor platforms, iterations may be executed in a pipelined fashion, which makes performance analysis challenging. As the second contribution, this thesis develops trade-off analysis techniques for RASDF, both in the time-domain and in the iteration-domain (i.e., on an SDF iteration basis), to dimension resources on platforms. The time-domain analysis allows interleaving of different iterations, but the size of the explored state space grows quickly. The iteration-based technique trades the potential of interleaving of iterations for a compact size of the iteration state space. An efficient bottleneck-driven designspace exploration technique for streaming applications, the third main contribution in this thesis, is derived from analysis of the critical cycle of the state space, to reveal bottleneck resources that are limiting the throughput. All techniques are based on state-based exploration. They enable system designers to tailor their platform to the required applications, based on their own specific performance requirements. Pruning techniques for efficient exploration of the state space have been developed. Pareto dominance in terms of performance and resource usage is used for exact pruning, and approximation techniques are used for heuristic pruning. Finally, the thesis investigates dynamic scheduling techniques to respond to dynamic changes in input streams. The fourth contribution in this thesis is a game-theoretic approach to tackle controller synthesis to select the appropriate schedules in response to dynamic inputs from the environment. The approach transforms the explored iteration state space of a scenario- and resource-aware SDF (SARA SDF) graph to a bipartite game graph, and maps the controller synthesis problem to the problem of finding a winning positional strategy in a classical mean payoff game. A winning strategy of the game can be used to synthesize the controller of schedules for the system that is guaranteed to satisfy the throughput requirement given by the designer

Modeling resource sharing using FSM-SADF

This paper proposes a modeling approach to capture the mapping of an application on a platform. The approach is based on Scenario-Aware Dataflow (SADF) models. In contrast to the related work, we express the complete design-space in a single formal SADF model. This allows us to have a compact and explorable state-space linked with an executable model capable of symbolically analyzing different mappings for their timing behavior. We can model different bindings for application tasks, different static-orders schedules for tasks bound in shared resources, as well as naturally capturing resource claiming/unclaiming using SADF semantics. Moreover, by using the inherent properties of dataflow graphs and the dynamic behavior of a Finite-State Machine, we can model different levels of pipelining, such as full application pipelining and interleaved pipelining of consecutive executions of the application. The size of the model is independent of the number of executions of the application. Since we are able to capture all this behavior in a single SADF model we can use available dataflow analysis, such as worst-case and best-case throughput and deadlock-freedom checking. Furthermore, since the model captures the design-space independently of the analysis technique, one can use different exploration approaches to analyze different sets of requirements

Predictable mapping of streaming applications on multiprocessors

Het ontwerp van nieuwe consumentenelektronica wordt voortdurend complexer omdat er steeds meer functionaliteit in deze apparaten ge¨integreerd wordt. Een voorspelbaar ontwerptraject is nodig om deze complexiteit te beheersen. Het resultaat van dit ontwerptraject zou een systeem moeten zijn, waarin iedere applicatie zijn eigen taken binnen een strikte tijdslimiet kan uitvoeren, onafhankelijk van andere applicaties die hetzelfde systeem gebruiken. Dit vereist dat het tijdsgedrag van de hardware, de software, evenals hun interactie kan worden voorspeld. Er wordt vaak voorgesteld om een heterogeen multi-processor systeem (MPSoC) te gebruiken in moderne elektronische systemen. Een MP-SoC heeft voor veel applicaties een goede verhouding tussen rekenkracht en energiegebruik. Onchip netwerken (NoCs) worden voorgesteld als interconnect in deze systemen. Een NoC is schaalbaar en het biedt garanties wat betreft de hoeveelheid tijd die er nodig is om gegevens te communiceren tussen verschillende processoren en geheugens. Door het NoC te combineren met een voorspelbare strategie om de processoren en geheugens te delen, ontstaat een hardware platform met een voorspelbaar tijdsgedrag. Om een voorspelbaar systeem te verkrijgen moet ook het tijdsgedrag van een applicatie die wordt uitgevoerd op het platform voorspelbaar en analyseerbaar zijn. Het Synchronous Dataflow (SDF) model is erg geschikt voor het modelleren van applicaties die werken met gegevensstromen. Het model kan vele ontwerpbeslissingen modelleren en het is mogelijk om tijdens het ontwerptraject het tijdsgedrag van het systeem te analyseren. Dit proefschrift probeert om applicaties die gemodelleerd zijn met SDF grafen op een zodanige manier af te beelden op een NoC-gebaseerd MP-SoC, dat garanties op het tijdsgedrag van individuele applicaties gegeven kunnen worden. De doorstroomsnelheid van een applicatie is vaak een van de belangrijkste eisen bij het ontwerpen van systemen voor applicaties die werken met gegevensstromen. Deze doorstroomsnelheid wordt in hoge mate be¨invloed door de beschikbare ruimte om resultaten (gegevens) op te slaan. De opslagruimte in een SDF graaf wordt gemodelleerd door de pijlen in de graaf. Het probleem is dat er een vaste grootte voor de opslagruimte aan de pijlen van een SDF graaf moet worden toegewezen. Deze grootte moet zodanig worden gekozen dat de vereiste doorstroomsnelheid van het systeem gehaald wordt, terwijl de benodigde opslagruimte geminimaliseerd wordt. De eerste belangrijkste bijdrage van dit proefschrift is een techniek om de minimale opslagruimte voor iedere mogelijke doorstroomsnelheid van een applicatie te vinden. Ondanks de theoretische complexiteit van dit probleem presteert de techniek in praktijk goed. Doordat de techniek alle mogelijke minimale combinaties van opslagruimte en doorstroomsnelheid vindt, is het mogelijk om met situaties om te gaan waarin nog niet alle ontwerpbeslissingen zijn genomen. De ontwerpbeslissingen om twee taken van een applicatie op ´e´en processor uit te voeren, zou bijvoorbeeld de doorstroomsnelheid kunnen be¨invloeden. Hierdoor is er een onzekerheid in het begin van het ontwerptraject tussen de berekende doorstroomsnelheid en de doorstroomsnelheid die daadwerkelijk gerealiseerd kan worden als alle ontwerpbeslissingen zijn genomen. Tijdens het ontwerptraject moeten de taken waaruit een applicatie is opgebouwd toegewezen worden aan de verschillende processoren en geheugens in het systeem. Indien meerdere taken een processor delen, moet ook de volgorde bepaald worden waarin deze taken worden uitgevoerd. Een belangrijke bijdrage van dit proefschrift is een techniek die deze toewijzing uitvoert en die de volgorde bepaalt waarin taken worden uitgevoerd. Bestaande technieken kunnen alleen omgaan met taken die een ´e´en-op-´e´en relatie met elkaar hebben, dat wil zeggen, taken die een gelijk aantal keren uitgevoerd worden. In een SDF graaf kunnen ook complexere relaties worden uitgedrukt. Deze relaties kunnen omgeschreven worden naar een ´e´en-op-´e´en relatie, maar dat kan leiden tot een exponenti¨ele groei van het aantal taken in de graaf. Hierdoor kan het onmogelijk worden om in een beperkte tijd alle taken aan de processoren toe te wijzen en om de volgorde te bepalen waarin deze taken worden uitgevoerd. De techniek die in dit proefschrift wordt gepresenteerd, kan omgaan met de complexe relaties tussen taken in een SDF graaf zonder de vertaling naar de ´e´en-op-´e´en relaties te maken. Dit is mogelijk dankzij een nieuwe, effici¨ente techniek om de doorstroomsnelheid van SDF grafen te bepalen. Nadat de taken van een applicatie toegewezen zijn aan de processoren in het hardware platform moet de communicatie tussen deze taken op het NoC gepland worden. In deze planning moet voor ieder bericht dat tussen de taken wordt verstuurd, worden bepaald welke route er gebruikt wordt en wanneer de communicatie gestart wordt. Dit proefschrift introduceert drie strategie¨en voor het versturen van berichten met een strikte tijdslimiet. Alle drie de strategie¨en maken maximaal gebruik van de beschikbare vrijheid die moderne NoCs bieden. Experimenten tonen aan dat deze strategie¨en hierdoor effici¨enter omgaan met de beschikbare hardware dan bestaande strategie¨en. Naast deze strategie¨en wordt er een techniek gepresenteerd om uit de ontwerpbeslissingen die gemaakt zijn tijdens het toewijzen van taken aan de processoren alle tijdslimieten af te leiden waarbinnen de berichten over het NoC gecommuniceerd moeten worden. Deze techniek koppelt de eerder genoemde techniek voor het toewijzen van taken aan processoren aan de drie strategie¨en om berichten te versturen over het NoC. Tenslotte worden de verschillende technieken die in dit proefschrift worden ge¨introduceerd gecombineerd tot een compleet ontwerptraject. Het startpunt is een SDF graaf die een applicatie modelleert en een NoC-gebaseerd MP-SoC platform met een voorspelbaar tijdsgedrag. Het doel van het ontwerptraject is het op een zodanige manier afbeelden van de applicatie op het platform dat de doorstroomsnelheid van de applicatie gegarandeerd kan worden. Daarnaast probeert het ontwerptraject de hoeveelheid hardware die gebruikt wordt te minimaliseren. Er wordt een experiment gepresenteerd waarin drie verschillende multimedia applicaties (H.263 encoder/decoder en een MP3 decoder) op een NoCgebaseerd MP-SoC worden afgebeeld. Dit experiment toont aan dat de technieken die in dit proefschrift worden voorgesteld, gebruikt kunnen worden voor het ontwerpen van systemen met een voorspelbaar tijdsgedrag. Hiermee is het voorgestelde ontwerptraject het eerste traject dat een met een SDF-gemodelleerde applicatie op een NoC-gebaseerd MP-SoC kan afbeelden, terwijl er garanties worden gegeven over de doorstroomsnelheid van de applicatie

Timing analysis of synchronous data flow graphs

Consumer electronic systems are getting more and more complex. Consequently, their design is getting more complicated. Typical systems built today are made of different subsystems that work in parallel in order to meet the functional re- quirements of the demanded applications. The types of applications running on such systems usually have inherent timing constraints which should be realized by the system. The analysis of timing guarantees for parallel systems is not a straightforward task. One important category of applications in consumer electronic devices are multimedia applications such as an MP3 player and an MPEG decoder/encoder. Predictable design is the prominent way of simultaneously managing the design complexity of these systems and providing timing guarantees. Timing guarantees cannot be obtained without using analyzable models of computation. Data flow models proved to be a suitable means for modeling and analysis of multimedia applications. Synchronous Data Flow Graphs (SDFGs) is a data flow model of computation that is traditionally used in the domain of Digital Signal Processing (DSP) platforms. Owing to the structural similarity between DSP and multimedia applications, SDFGs are suitable for modeling multimedia applications as well. Besides, various performance metrics can be analyzed using SDFGs. In fact, the combination of expressivity and analysis potential makes SDFGs very interesting in the domain of multimedia applications. This thesis contributes to SDFG analysis. We propose necessary and sufficient conditions to analyze the integrity of SDFGs and we provide techniques to capture prominent performance metrics, namely, throughput and latency. These perfor- mance metrics together with the mentioned sanity checks (conditions) build an appropriate basis for the analysis of the timing behavior of modeled applications. An SDFG is a graph with actors as vertices and channels as edges. Actors represent basic parts of an application which need to be executed. Channels represent data dependencies between actors. Streaming applications essentially continue their execution indefinitely. Therefore, one of the key properties of an SDFG which models such an application is liveness, i.e., whether all actors can run infinitely often. For example, one is usually not interested in a system which completely or partially deadlocks. Another elementary requirement known as boundedness, is whether an implementation of an SDFG is feasible using a lim- ited amount of memory. Necessary and sufficient conditions for liveness and the different types of boundedness are given, as well as algorithms for checking those conditions. Throughput analysis of SDFGs is an important step for verifying throughput requirements of concurrent real-time applications, for instance within design-space exploration activities. In fact, the main reason that SDFGs are used for mod- eling multimedia applications is analysis of the worst-case throughput, as it is essential for providing timing guarantees. Analysis of SDFGs can be hard, since the worst-case complexity of analysis algorithms is often high. This is also true for throughput analysis. In particular, many algorithms involve a conversion to another kind of data flow graph, namely, a homogenous data flow graph, whose size can be exponentially larger than the size of the original graph and in practice often is much larger. The thesis presents a method for throughput analysis of SD- FGs which is based on explicit state-space exploration, avoiding the mentioned conversion. The method, despite its worst-case complexity, works well in practice, while existing methods often fail. Since the state-space exploration method is akin to the simulation of the graph, the result can be easily obtained as a byproduct in existing simulation tools. In various contexts, such as design-space exploration or run-time reconfigu- ration, many throughput computations are required for varying actor execution times. The computations need to be fast because typically very limited resources or time can be dedicated to the analysis. In this thesis, we present methods to compute throughput of an SDFG where execution times of actors can be param- eters. As a result, the throughput of these graphs is obtained in the form of a function of these parameters. Calculation of throughput for different actor exe- cution times is then merely an evaluation of this function for specific parameter values, which is much faster than the standard throughput analysis. Although throughput is a very useful performance indicator for concurrent real-time applications, another important metric is latency. Especially for appli- cations such as video conferencing, telephony and games, latency beyond a certain limit cannot be tolerated. The final contribution of this thesis is an algorithm to determine the minimal achievable latency, providing an execution scheme for executing an SDFG with this latency. In addition, a heuristic is proposed for optimizing latency under a throughput constraint. This heuristic gives optimal latency and throughput results in most cases