A general analytical model of adaptive wormhole routing in k-ary n-cubes

Several analytical models of fully adaptive routing have recently been proposed for k-ary n-cubes and hypercube networks under the uniform traffic pattern. Although,hypercube is a special case of k-ary n-cubes topology, the modeling approach for hypercube is more accurate than karyn-cubes due to its simpler structure. This paper proposes a general analytical model to predict message latency in wormhole-routed k-ary n-cubes with fully adaptive routing that uses a similar modeling approach to hypercube. The analysis focuses Duato's fully adaptive routing algorithm [12], which is widely accepted as the most general algorithm for achieving adaptivity in wormhole-routed networks while allowing for an efficient router implementation. The proposed model is general enough that it can be used for hypercube and other fully adaptive routing algorithms

Adaptive turn-prohibition routing algorithm for the networks of workstations

Deadlock occurrence is a critical problem for any computer network. Various solutions have been proposed over last two decades to solve problem of deadlocks in networks using different routing schemes, like up/down routing algorithm used in Myrinet switches. However, most of existing approaches for deadlock-free routing either try to eliminate any possibility of deadlock occurrence, which can result in putting extra restrictions on the routing in the networks or put no restrictions on routing, which leads to other approach namely deadlock recovery. In this thesis emphasis is on developing hybrid approach for routing in wormhole networks, wherein some prohibition is imposed on routing along with some kind of deadlock recovery. This adaptive approach allows changing the amount of routing restrictions depending on network traffic, thus providing a flexible method to achieve better network performance compared to the existing techniques. The main idea of the proposed method consists in the sequential selections of some turns, which are prohibited to be selected during routing. After each additional turn is added, the probability of deadlock occurrence decreases gradually. Cost formula is proposed to estimate cost of implementing both strategies in a network which is basis of proposed adaptive model

Processor allocator for chip multiprocessors

Chip MultiProcessor (CMP) architectures consisting of many cores connected through Network-on-Chip (NoC) are becoming main computing platforms for research and computer centers, and in the future for commercial solutions. In order to effectively use CMPs, operating system is an important factor and it should support a multiuser environment in which many parallel jobs are executed simultaneously. It is done by the processor management system of the operating system, which consists of two components: Job Scheduler (JS) and Processor Allocator (PA). The JS is responsible for job scheduling that deals with selection of the next job to be executed, while the task of the PA is processor allocation that selects a set of processors for the job selected by the JS. In this thesis, the PA architecture for the NoC-based CMP is explored. The idea of the PA hardware implementation and its integration on one die together with processing elements of CMP is presented. Such an approach requires the PA to be fast as well as area and energy efficient, because it is only a small component of the CMP. The architecture of hardware version of a PA is presented. The main factor of the structure is a type of processor allocation algorithm, employed inside. Thus, all important allocation techniques are intensively investigated and new schemes are proposed. All of them are compared using experimentation system. The PA driven by the described allocation techniques is synthesized on FPGA and crucial energy and area consumption together with performance parameters are extracted. The proposed CMP uses NoC as interconnection architecture. Therefore, all main NoC structures are studied and tested. Most important parameters such as topology, flow control and routing algorithms are presented and discussed. For the proposed NoC structures, an energy model is proposed and described. Finally, the synthesized PAs and NoCs are evaluated in a simulation system, where NoC-based CMP is created. The experimental environment took into consideration energy and traffic balance characteristics. As a result, the most efficient PA and NoC for CMP are presented

Performance analysis of wormhole switched interconnection networks with virtual channels and finite buffers

An efficient interconnection network that provides high bandwidth and low latency interprocessor communication is critical to harness fully the computational power of large scale multicomputer. K-ary n-cube networks have been widely adopted in contemporary multicomputers due to their desirable properties. As such, the present study focuses on a performance analysis of K-ary n-cubes employing wormhole switching, virtual channels, and adaptive routing. The objective of this dissertation is twofold: to examine the performance of these networks, and to compare the performance merits of various topologies under different working conditions, by means of analytical modelling. Most existing analytical models reported in the literature have used a method originally proposed by Dally to capture the effects of virtual channels on network performance. This method is based on a Markov chain and it has been shown that its prediction accuracy degrades as traffic increases. Moreover, these studies have also constrained the buffer capacity to a single flit per channel, a simplifying assumption that has often been invoked to ease the derivation of the analytical models. Motivated by these observations, the first part of this research proposes a new method for modelling virtual channels, based on an M/G/1 queue. Owing to the generality of this method. Daily's method is shown to be a special case when the message service time is exponentially distributed. The second part of this research uses theoretical results of queuing systems to relax the single-flit buffer assumption. New analytical models are then proposed to capture the effects of deploying arbitrary size buffers on the performance of deterministic and adaptive routing algorithms. Simulation experiments reveal that results from the proposed analytical models are in close agreement with those obtained through simulation. Building on these new analytical models, the third part of this research compares the relative performance merits of K-ary n-cubes under different operating conditions, in the presence of finite size buffers and multiple virtual channels. Namely, the analysis first revisits the relative performance merits of the well-known 2D torus, 3D torus and hypercube under different implementation constraints. The analysis has then been extended to investigate the performance impact of arranging the total buffer space, allocated to a physical channel, into multiple virtual channels. Finally, the performance of adaptive routing has been compared to that of deterministic routing. While previous similar studies have only taken account of channel and router costs, the present analysis incorporates different intra-router delays, as well, and thus generates more realistic results. In fact, the results of this research differ notably from those reported in previous studies, illustrating the sensitivity of such studies to the level of detail, degree of accuracy and the realism of the assumptions adopted

Analysis of wormhole routings in cayley graphs of permutation groups.

Over a decade, a new class of switching technology, called wormhole routing, has been investigated in the multicomputer interconnection network field. Several classes of wormhole routing algorithms have been proposed. Most of the algorithms have been centered on the traditional binary hypercube, k-ary n-cube mesh, and torus networks. In the design of a wormhole routing algorithm, deadlock avoidance scheme is the main concern. Recently, new classes of networks called Cayley graphs of permutation groups are considered very promising alternatives. Although proposed Cayley networks have superior topological properties over the traditional network topologies, the design of the deadlock-free wormhole routing algorithm in these networks is not simple. In this dissertation, we investigate deadlock free wormhole routing algorithms in the several classes of Cayley networks, such as complete-transposition and star networks. We evaluate several classes of routing algorithms on these networks, and compare the performance of each algorithm to the simulation study. Also, the performances of these networks are compared to the traditional networks. Through extensive simulation we found that adaptive algorithm outperformed deterministic algorithm in general with more virtual channels. On the network performance comparison, the complete transposition network showed the best performance among the similar sized networks, and the binary hypercube performed better compared to the star graph

Performance analysis of wormhole routing in multicomputer interconnection networks

Perhaps the most critical component in determining the ultimate performance potential of a multicomputer is its interconnection network, the hardware fabric supporting communication among individual processors. The message latency and throughput of such a network are affected by many factors of which topology, switching method, routing algorithm and traffic load are the most significant. In this context, the present study focuses on a performance analysis of k-ary n-cube networks employing wormhole switching, virtual channels and adaptive routing, a scenario of especial interest to current research. This project aims to build upon earlier work in two main ways: constructing new analytical models for k-ary n-cubes, and comparing the performance merits of cubes of different dimensionality. To this end, some important topological properties of k-ary n-cubes are explored initially; in particular, expressions are derived to calculate the number of nodes at/within a given distance from a chosen centre. These results are important in their own right but their primary significance here is to assist in the construction of new and more realistic analytical models of wormhole-routed k-ary n-cubes. An accurate analytical model for wormhole-routed k-ary n-cubes with adaptive routing and uniform traffic is then developed, incorporating the use of virtual channels and the effect of locality in the traffic pattern. New models are constructed for wormhole k-ary n-cubes, with the ability to simulate behaviour under adaptive routing and non-uniform communication workloads, such as hotspot traffic, matrix-transpose and digit-reversal permutation patterns. The models are equally applicable to unidirectional and bidirectional k-ary n-cubes and are significantly more realistic than any in use up to now. With this level of accuracy, the effect of each important network parameter on the overall network performance can be investigated in a more comprehensive manner than before. Finally, k-ary n-cubes of different dimensionality are compared using the new models. The comparison takes account of various traffic patterns and implementation costs, using both pin-out and bisection bandwidth as metrics. Networks with both normal and pipelined channels are considered. While previous similar studies have only taken account of network channel costs, our model incorporates router costs as well thus generating more realistic results. In fact the results of this work differ markedly from those yielded by earlier studies which assumed deterministic routing and uniform traffic, illustrating the importance of using accurate models to conduct such analyses

Embedded dynamic programming networks for networks-on-chip

PhD ThesisRelentless technology downscaling and recent technological advancements in three dimensional integrated circuit (3D-IC) provide a promising prospect to realize heterogeneous system-on-chip (SoC) and homogeneous chip multiprocessor (CMP) based on the networks-onchip (NoCs) paradigm with augmented scalability, modularity and performance. In many cases in such systems, scheduling and managing communication resources are the major design and implementation challenges instead of the computing resources. Past research efforts were mainly focused on complex design-time or simple heuristic run-time approaches to deal with the on-chip network resource management with only local or partial information about the network. This could yield poor communication resource utilizations and amortize the benefits of the emerging technologies and design methods. Thus, the provision for efficient run-time resource management in large-scale on-chip systems becomes critical. This thesis proposes a design methodology for a novel run-time resource management infrastructure that can be realized efficiently using a distributed architecture, which closely couples with the distributed NoC infrastructure. The proposed infrastructure exploits the global information and status of the network to optimize and manage the on-chip communication resources at run-time. There are four major contributions in this thesis. First, it presents a novel deadlock detection method that utilizes run-time transitive closure (TC) computation to discover the existence of deadlock-equivalence sets, which imply loops of requests in NoCs. This detection scheme, TC-network, guarantees the discovery of all true-deadlocks without false alarms in contrast to state-of-the-art approximation and heuristic approaches. Second, it investigates the advantages of implementing future on-chip systems using three dimensional (3D) integration and presents the design, fabrication and testing results of a TC-network implemented in a fully stacked three-layer 3D architecture using a through-silicon via (TSV) complementary metal-oxide semiconductor (CMOS) technology. Testing results demonstrate the effectiveness of such a TC-network for deadlock detection with minimal computational delay in a large-scale network. Third, it introduces an adaptive strategy to effectively diffuse heat throughout the three dimensional network-on-chip (3D-NoC) geometry. This strategy employs a dynamic programming technique to select and optimize the direction of data manoeuvre in NoC. It leads to a tool, which is based on the accurate HotSpot thermal model and SystemC cycle accurate model, to simulate the thermal system and evaluate the proposed approach. Fourth, it presents a new dynamic programming-based run-time thermal management (DPRTM) system, including reactive and proactive schemes, to effectively diffuse heat throughout NoC-based CMPs by routing packets through the coolest paths, when the temperature does not exceed chip’s thermal limit. When the thermal limit is exceeded, throttling is employed to mitigate heat in the chip and DPRTM changes its course to avoid throttled paths and to minimize the impact of throttling on chip performance. This thesis enables a new avenue to explore a novel run-time resource management infrastructure for NoCs, in which new methodologies and concepts are proposed to enhance the on-chip networks for future large-scale 3D integration.Iraqi Ministry of Higher Education and Scientific Research (MOHESR)

Topology Agnostic Methods for Routing, Reconfiguration and Virtualization of Interconnection Networks

Modern computing systems, such as supercomputers, data centers and multicore chips, generally require efficient communication between their different system units; tolerance towards component faults; flexibility to expand or merge; and a high utilization of their resources. Interconnection networks are used in a variety of such computing systems in order to enable communication between their diverse system units. Investigation and proposal of new or improved solutions to topology agnostic routing and reconfiguration of interconnection networks are main objectives of this thesis. In addition, topology agnostic routing and reconfiguration algorithms are utilized in the development of new and flexible approaches to processor allocation. The thesis aims to present versatile solutions that can be used for the interconnection networks of a number of different computing systems. No particular routing algorithm was specified for an interconnection network technology which is now incorporated in Dolphin Express. The thesis states a set of criteria for a suitable routing algorithm, evaluates a number of existing routing algorithms, and recommend that one of the algorithms – which fulfils all of the criteria – is used. Further investigations demonstrate how this routing algorithm inherently supports fault-tolerance, and how it can be optimized for some network topologies. These considerations are also relevant for the InfiniBand interconnection network technology. Reconfiguration of interconnection networks (change of routing function) is a deadlock prone process. Some existing reconfiguration strategies include deadlock avoidance mechanisms that significantly reduce the network service offered to running applications. The thesis expands the area of application for one of the most versatile and efficient reconfiguration algorithms available in the literature, and proposes an optimization of this algorithm that improves the network service offered to running applications. Moreover, a new reconfiguration algorithm is presented that supports a replacement of the routing function without causing performance penalties. Processor allocation strategies that guarantee traffic-containment commonly pose strict requirements on the shape of partitions, and thus achieve only a limited utilization of a system’s computing resources. The thesis introduces two new approaches that are more flexible. Both approaches utilize the properties of a topology agnostic routing algorithm in order to enforce traffic-containment within arbitrarily shaped partitions. Consequently, a high resource utilization as well as isolation of traffic between different partitions is achieved