Discrete analogue computing with rotor-routers

Rotor-routing is a procedure for routing tokens through a network that can implement certain kinds of computation. These computations are inherently asynchronous (the order in which tokens are routed makes no difference) and distributed (information is spread throughout the system). It is also possible to efficiently check that a computation has been carried out correctly in less time than the computation itself required, provided one has a certificate that can itself be computed by the rotor-router network. Rotor-router networks can be viewed as both discrete analogues of continuous linear systems and deterministic analogues of stochastic processes.Comment: To appear in Chaos Special Focus Issue on Intrinsic and Designed Computatio

Least Upper Delay Bound for VBR Flows in Networks-on- Chip with Virtual Channels

Real-time applications such as multimedia and gaming require stringent performance guarantees, usually enforced by a tight upper bound on the maximum end-to-end delay. For FIFO multiplexed on-chip packet switched networks we consider worst-case delay bounds for Variable Bit-Rate (VBR) flows with aggregate scheduling, which schedules multiple flows as an aggregate flow. VBR Flows are characterized by a maximum transfer size, peak rate, burstiness, and average sustainable rate. Based on network calculus, we present and prove theorems to derive per-flow end-to-end Equivalent Service Curves (ESC) which are in turn used for computing Least Upper Delay Bounds (LUDBs) of individual flows. In a realistic case study we find that the end-to-end delay bound is up to 46.9% more accurate than the case without considering the traffic peak behavior. Likewise, results also show similar improvements for synthetic traffic patterns. The proposed methodology is implemented in C++ and has low run-time complexity, enabling quick evaluation for large and complex SoCs

Weighted Round Robin Configuration for Worst-Case Delay Optimization in Network-on-Chip

We propose an approach for computing the end-to-end delay bound of individual variable bit-rate flows in a FIFO multiplexer with aggregate scheduling under Weighted Round Robin (WRR) policy. To this end, we use network calculus to derive per-flow end-to-end equivalent service curves employed for computing Least Upper Delay Bounds (LUDBs) of individual flows. Since real time applications are going to meet guaranteed services with lower delay bounds, we optimize weights in WRR policy to minimize LUDBs while satisfying performance constraints. We formulate two constrained delay optimization problems, namely, Minimize-Delay and Multiobjective optimization. Multi-objective optimization has both total delay bounds and their variance as minimization objectives. The proposed optimizations are solved using a genetic algorithm. A Video Object Plane Decoder (VOPD) case study exhibits 15.4% reduction of total worst-case delays and 40.3% reduction on the variance of delays when compared with round robin policy. The optimization algorithm has low run-time complexity, enabling quick exploration of large design spaces. We conclude that an appropriate weight allocation can be a valuable instrument for delay optimization in on-chip network designs

Comparaison de strategies de calcul de bornes sur NoC

The Kalray MPPA2-256 processor integrates 256 processing cores and 32 management cores on a chip. Theses cores are grouped into clusters, and clusters are connected by a high-performance network on chip (NoC). This NoC provides some hardware mechanisms (egress traffic limiters) that can be configured to offer bounded latencies. This paper presents how network calculus can be used to bound these latencies while computing the routes of data flows, using linear programming. Then, its shows how other approaches can also be used and adapted to analyze this NoC. Their performances are then compared on three case studies: two small coming from previous studies, and one realistic with 128 or 256 flows. On theses cases studies, it shows that modeling the shaping introduced by links is of major importance to get accurate bounds. And when packets are of constant size, the Total Flow Analysis gives, on average, bounds 20%-25% smaller than all other methods

Least Upper Delay Bound for VBR Flows in Networks-on-Chip with Virtual Channels

Real-time applications such as multimedia and gaming require stringent performance guarantees, usually enforced by a tight upper bound on the maximum end-to-end delay. For FIFO multiplexed on-chip packet switched networks we consider worst-case delay bounds for Variable Bit-Rate (VBR) flows with aggregate scheduling, which schedules multiple flows as an aggregate flow. VBR Flows are characterized by a maximum transfer size (L), peak rate (p), burstiness (σ), and average sustainable rate (ρ). Based on network calculus, we present and prove theorems to derive per-flow end-to-end Equivalent Service Curves (ESC), which are in turn used for computing Least Upper Delay Bounds (LUDBs) of individual flows. In a realistic case study we find that the end-to-end delay bound is up to 46.9% more accurate than the case without considering the traffic peak behavior. Likewise, results also show similar improvements for synthetic traffic patterns. The proposed methodology is implemented in C++ and has low run-time complexity, enabling quick evaluation for large and complex SoCs

BlackOut: Enabling fine-grained power gating of buffers in Network-on-Chip routers

The Network-on-Chip (NoC) router buffers play an instrumental role in the performance of both the interconnection fabric and the entire multi-/many-core system. Nevertheless, the buffers also constitute the major leakage power consumers in NoC implementations. Traditionally, they are designed to accommodate worst-case traffic scenarios, so they tend to remain idle, or under-utilized, for extended periods of time. The under-utilization of these valuable resources is exemplified when one profiles real application workloads; the generated traffic is bursty in nature, whereby high traffic periods are sporadic and infrequent, in general. The mitigation of the leakage power consumption of NoC buffers via power gating has been explored in the literature, both at coarse (router-level) and fine (buffer-level) granularities. However, power gating at the router granularity is suitable only for low and medium traffic conditions, where the routers have enough opportunities to be powered down. Under high traffic, the sleeping potential rapidly diminishes. Moreover, disabling an entire router greatly affects the NoC functionality and the network connectivity. This article presents BlackOut, a fine-grained power-gating methodology targeting individual router buffers. The goal is to minimize leakage power consumption, without adversely impacting the system performance. The proposed framework is agnostic of the routing algorithm and the network topology, and it is applicable to any router micro-architecture. Evaluation results obtained using both synthetic traffic patterns and real applications in 64-core systems indicate energy savings of up to 70%, as compared to a baseline NoC, with a near-negligible performance overhead of around 2%. BlackOut is also shown to significantly outperformby 35%, on averagetwo current state-of-the-art power-gating solutions, in terms of energy savings. Not tailored to any topology, routing algorithm and NoC router architecture.Router-to-router communication. No need for custom, region-based/global networks.Effective at low, medium and high traffic. Other solutions are more restrictive.+35% energy saving, on average, against two state-of-the-art power-gating solutions.Negligible performance overhead (+2%) compared to the baseline architecture

Scalable directoryless shared memory coherence using execution migration

We introduce the concept of deadlock-free migration-based coherent shared memory to the NUCA family of architectures. Migration-based architectures move threads among cores to guarantee sequential semantics in large multicores. Using a execution migration (EM) architecture, we achieve performance comparable to directory-based architectures without using directories: avoiding automatic data replication significantly reduces cache miss rates, while a fast network-level thread migration scheme takes advantage of shared data locality to reduce remote cache accesses that limit traditional NUCA performance. EM area and energy consumption are very competitive, and, on the average, it outperforms a directory-based MOESI baseline by 6.8% and a traditional S-NUCA design by 9.2%. We argue that with EM scaling performance has much lower cost and design complexity than in directory-based coherence and traditional NUCA architectures: by merely scaling network bandwidth from 128 to 256 (512) bit flits, the performance of our architecture improves by an additional 8% (12%), while the baselines show negligible improvement