Firing rate optimization of cyclic timed event graphs by token allocations

In this paper, we deal with the problem of allocating a given number of tokens in a cyclic timed event graph (CTEG) so as to maximize the firing rate of the net. We propose three different approaches. The first one is a "greedy" incremental procedure that is computationally very efficient. The only drawback is that the convergence to the optimum is guaranteed only when the set of places where tokens can be allocated satisfies given constraints. The other two procedures involve the solution of a mixed integer linear programming problem. The first one needs the knowledge of the elementary circuits, thus it is convenient only for those classes of CTEG whose number of elementary circuits is roughly equal to the number of places, such as some kanban-systems. On the contrary, the second one enables one to overcome this difficulty, thus providing an efficient tool for the solution of allocation problems in complex manufacturing systems like job-shop systems

Optimization of deterministic timed weighted marked graphs

Timed marked graphs, a special class of Petri nets, are extensively used to model and analyze cyclic manufacturing systems. Weighted marked graphs are convenient to model systems with bulk services and arrivals. We consider two problems of practical importance for this class of nets. The marking optimization problem consists in finding an initial marking to minimize the weighted sum of tokens in places, while the average cycle time is less than or equal to a given value. The cycle time optimization problem consists in finding an initial marking to minimize the average cycle time, while the weighted sum of tokens in places is less than or equal to a given value. We propose two heuristic algorithms to solve these problems. Several simulation studies show that the proposed approach is significantly more efficient than existing ones

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

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

Scheduling and discrete event control of flexible manufacturing systems based on Petri nets

A flexible manufacturing system (FMS) is a computerized production system that can simultaneously manufacture multiple types of products using various resources such as robots and multi-purpose machines. The central problems associated with design of flexible manufacturing systems are related to process planning, scheduling, coordination control, and monitoring. Many methods exist for scheduling and control of flexible manufacturing systems, although very few methods have addressed the complexity of whole FMS operations. This thesis presents a Petri net based method for deadlock-free scheduling and discrete event control of flexible manufacturing systems. A significant advantage of Petri net based methods is their powerful modeling capability. Petri nets can explicitly and concisely model the concurrent and asynchronous activities, multi-layer resource sharing, routing flexibility, limited buffers and precedence constraints in FMSs. Petri nets can also provide an explicit way for considering deadlock situations in FMSs, and thus facilitate significantly the design of a deadlock-free scheduling and control system. The contributions of this work are multifold. First, it develops a methodology for discrete event controller synthesis for flexible manufacturing systems in a timed Petri net framework. The resulting Petri nets have the desired qualitative properties of liveness, boundedness (safeness), and reversibility, which imply freedom from deadlock, no capacity overflow, and cyclic behavior, respectively. This precludes the costly mathematical analysis for these properties and reduces on-line computation overhead to avoid deadlocks. The performance and sensitivity of resulting Petri nets, thus corresponding control systems, are evaluated. Second, it introduces a hybrid heuristic search algorithm based on Petri nets for deadlock-free scheduling of flexible manufacturing systems. The issues such as deadlock, routing flexibility, multiple lot size, limited buffer size and material handling (loading/unloading) are explored. Third, it proposes a way to employ fuzzy dispatching rules in a Petri net framework for multi-criterion scheduling. Finally, it shows the effectiveness of the developed methods through several manufacturing system examples compared with benchmark dispatching rules, integer programming and Lagrangian relaxation approaches

Temporal analysis and scheduling of hard real-time radios running on a multi-processor

On a multi-radio baseband system, multiple independent transceivers must share the resources of a multi-processor, while meeting each its own hard real-time requirements. Not all possible combinations of transceivers are known at compile time, so a solution must be found that either allows for independent timing analysis or relies on runtime timing analysis. This thesis proposes a design flow and software architecture that meets these challenges, while enabling features such as independent transceiver compilation and dynamic loading, and taking into account other challenges such as ease of programming, efficiency, and ease of validation. We take data flow as the basic model of computation, as it fits the application domain, and several static variants (such as Single-Rate, Multi-Rate and Cyclo-Static) have been shown to possess strong analytical properties. Traditional temporal analysis of data flow can provide minimum throughput guarantees for a self-timed implementation of data flow. Since transceivers may need to guarantee strictly periodic execution and meet latency requirements, we extend the analysis techniques to show that we can enforce strict periodicity for an actor in the graph; we also provide maximum latency analysis techniques for periodic, sporadic and bursty sources. We propose a scheduling strategy and an automatic scheduling flow that enable the simultaneous execution of multiple transceivers with hard-realtime requirements, described as Single-Rate Data Flow (SRDF) graphs. Each transceiver has its own execution rate and starts and stops independently from other transceivers, at times unknown at compile time, on a multiprocessor. We show how to combine scheduling and mapping decisions with the input application data flow graph to generate a worst-case temporal analysis graph. We propose algorithms to find a mapping per transceiver in the form of clusters of statically-ordered actors, and a budget for either a Time Division Multiplex (TDM) or Non-Preemptive Non-Blocking Round Robin (NPNBRR) scheduler per cluster per transceiver. The budget is computed such that if the platform can provide it, then the desired minimum throughput and maximum latency of the transceiver are guaranteed, while minimizing the required processing resources. We illustrate the use of these techniques to map a combination of WLAN and TDS-CDMA receivers onto a prototype Software-Defined Radio platform. The functionality of transceivers for standards with very dynamic behavior – such as WLAN – cannot be conveniently modeled as an SRDF graph, since SRDF is not capable of expressing variations of actor firing rules depending on the values of input data. Because of this, we propose a restricted, customized data flow model of computation, Mode-Controlled Data Flow (MCDF), that can capture the data-value dependent behavior of a transceiver, while allowing rigorous temporal analysis, and tight resource budgeting. We develop a number of analysis techniques to characterize the temporal behavior of MCDF graphs, in terms of maximum latencies and throughput. We also provide an extension to MCDF of our scheduling strategy for SRDF. The capabilities of MCDF are then illustrated with a WLAN 802.11a receiver model. Having computed budgets for each transceiver, we propose a way to use these budgets for run-time resource mapping and admissibility analysis. During run-time, at transceiver start time, the budget for each cluster of statically-ordered actors is allocated by a resource manager to platform resources. The resource manager enforces strict admission control, to restrict transceivers from interfering with each other’s worst-case temporal behaviors. We propose algorithms adapted from Vector Bin-Packing to enable the mapping at start time of transceivers to the multi-processor architecture, considering also the case where the processors are connected by a network on chip with resource reservation guarantees, in which case we also find routing and resource allocation on the network-on-chip. In our experiments, our resource allocation algorithms can keep 95% of the system resources occupied, while suffering from an allocation failure rate of less than 5%. An implementation of the framework was carried out on a prototype board. We present performance and memory utilization figures for this implementation, as they provide insights into the costs of adopting our approach. It turns out that the scheduling and synchronization overhead for an unoptimized implementation with no hardware support for synchronization of the framework is 16.3% of the cycle budget for a WLAN receiver on an EVP processor at 320 MHz. However, this overhead is less than 1% for mobile standards such as TDS-CDMA or LTE, which have lower rates, and thus larger cycle budgets. Considering that clock speeds will increase and that the synchronization primitives can be optimized to exploit the addressing modes available in the EVP, these results are very promising

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