Voltage island-driven floorplanning.

Ma, Qiang.Thesis (M.Phil.)--Chinese University of Hong Kong, 2008.Includes bibliographical references (leaves 78-80).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.ivChapter 1 --- Introduction --- p.1Chapter 1.1 --- Background --- p.1Chapter 1.2 --- Floorplanning --- p.2Chapter 1.3 --- Motivations --- p.4Chapter 1.4 --- Design Implementation of Voltage Islands --- p.5Chapter 1.5 --- Problem Formulation --- p.8Chapter 1.6 --- Progress on the Problem --- p.10Chapter 1.7 --- Contributions --- p.12Chapter 1.8 --- Thesis Organization --- p.14Chapter 2 --- Literature Review on MSV --- p.15Chapter 2.1 --- Introduction --- p.15Chapter 2.2 --- MSV at Post-floorplan/Post Placement Stage --- p.16Chapter 2.2.1 --- """Post-Placement Voltage Island Generation under Performance Requirement""" --- p.16Chapter 2.2.2 --- """Post-Placement Voltage Island Generation""" --- p.18Chapter 2.2.3 --- """Timing-Constrained and Voltage-Island-Aware Voltage Assignment""" --- p.19Chapter 2.2.4 --- """Voltage Island Generation under Performance Requirement for SoC Designs""" --- p.20Chapter 2.2.5 --- """An ILP Algorithm for Post-Floorplanning Voltage-Island Generation Considering Power-Network Planning""" --- p.21Chapter 2.3 --- MSV at Floorplan/Placement Stage --- p.22Chapter 2.3.1 --- """Architecting Voltage Islands in Core-based System-on-a- Chip Designs""" --- p.22Chapter 2.3.2 --- """Voltage Island Aware Floorplanning for Power and Timing Optimization""" --- p.23Chapter 2.4 --- Summary --- p.27Chapter 3 --- MSV Driven Floorplanning --- p.29Chapter 3.1 --- Introduction --- p.29Chapter 3.2 --- Problem Formulation --- p.32Chapter 3.3 --- Algorithm Overview --- p.33Chapter 3.4 --- Optimal Island Partitioning and Voltage Assignment --- p.33Chapter 3.4.1 --- Voltage Islands in Non-subtrees --- p.35Chapter 3.4.2 --- Proof of Optimality --- p.36Chapter 3.4.3 --- Handling Island with Power Down Mode --- p.37Chapter 3.4.4 --- Speedup in Implementation and Complexity --- p.38Chapter 3.4.5 --- Varying Background Chip-level Voltage --- p.39Chapter 3.5 --- Simulated Annealing --- p.39Chapter 3.5.1 --- Moves --- p.39Chapter 3.5.2 --- Cost Function --- p.40Chapter 3.6 --- Experimental Results --- p.40Chapter 3.6.1 --- Extension to Minimize Level Shifters --- p.45Chapter 3.6.2 --- Extension to Consider Power Network Routing --- p.46Chapter 3.7 --- Summary --- p.46Chapter 4 --- MSV Driven Floorplanning with Timing --- p.49Chapter 4.1 --- Introduction --- p.49Chapter 4.2 --- Problem Formulation --- p.52Chapter 4.3 --- Algorithm Overview --- p.56Chapter 4.4 --- Voltage Assignment Problem --- p.56Chapter 4.4.1 --- Lagrangian Relaxation --- p.58Chapter 4.4.2 --- Transformation into the Primal Minimum Cost Flow Problem --- p.60Chapter 4.4.3 --- Cost-Scaling Algorithm --- p.64Chapter 4.4.4 --- Solution Transformation --- p.66Chapter 4.5 --- Simulated Annealing --- p.69Chapter 4.5.1 --- Moves --- p.69Chapter 4.5.2 --- Speeding up heuristic --- p.69Chapter 4.5.3 --- Cost Function --- p.70Chapter 4.5.4 --- Annealing Schedule --- p.71Chapter 4.6 --- Experimental Results --- p.71Chapter 4.7 --- Summary --- p.72Chapter 5 --- Conclusion --- p.76Bibliography --- p.8

VoltageIsland Driven Floorplanning Considering Level-Shifter Positions. GLSVLSI

ABSTRACT Power optimization has become a significant issue when the CMOS technology entered the nanometer era. MultipleSupply Voltage (MSV) is a popular and effective method for power reduction. Level shifters may cause area and Interconnect Length Overhead(ILO), and should be considered during floorplanning and post-floorplanning stages. In this paper, we propose a two phases framework VLSAF to solve voltage and level shifter assignment problem. At floorplanning phase, we use: a convex cost network flow algorithm to assign voltage; a minimum cost flow algorithm to assign level shifter. At post-floorplanning phase, a heuristic method is adopted to redistribute white spaces and calculate the positions and shapes of level shifters. Experimental results show VLSAF is effective

Clustering-Based Simultaneous Task and Voltage Scheduling for NoC Systems

Network-on-Chip (NoC) is emerging as a promising communication structure, which is scalable with respect to chip complexity. Meanwhile, latest chip designs are increasingly leveraging multiple voltage-frequency domains for energy-efficiency improvement. In this work, we propose a simultaneous task and voltage scheduling algorithm for energy minimization in NoC based designs. The energy-latency tradeoff is handled by Lagrangian relaxation. The core algorithm is a clustering based approach which not only assigns voltage levels and starting time to each task (or Processing Element) but also naturally finds voltage-frequency clusters. Compared to a recent previous work, which performs task scheduling and voltage assignment sequentially, our method leads to an average of 20 percent energy reduction

PeF: Poisson's Equation Based Large-Scale Fixed-Outline Floorplanning

Floorplanning is the first stage of VLSI physical design. An effective floorplanning engine definitely has positive impact on chip design speed, quality and performance. In this paper, we present a novel mathematical model to characterize non-overlapping of modules, and propose a flat fixed-outline floorplanning algorithm based on the VLSI global placement approach using Poisson's equation. The algorithm consists of global floorplanning and legalization phases. In global floorplanning, we redefine the potential energy of each module based on the novel mathematical model for characterizing non-overlapping of modules and an analytical solution of Poisson's equation. In this scheme, the widths of soft modules appear as variables in the energy function and can be optimized. Moreover, we design a fast approximate computation scheme for partial derivatives of the potential energy. In legalization, based on the defined horizontal and vertical constraint graphs, we eliminate overlaps between modules remained after global floorplanning, by modifying relative positions of modules. Experiments on the MCNC, GSRC, HB+ and ami49\_x benchmarks show that, our algorithm improves the average wirelength by at least 2\% and 5\% on small and large scale benchmarks with certain whitespace, respectively, compared to state-of-the-art floorplanners

Voltage island based heterogeneous NoC design through constraint programming

This paper discusses heterogeneous Network-on-Chip (NoC) design from a Constraint Programming (CP) perspective and extends the formulation to solving Voltage-Frequency Island (VFI) problem. In general, VFI is a superior design alternative in terms of thermal constraints, power consumption as well as performance considerations. Given a Communication Task Graph (CTG) and subsequent task assignments for cores, cores are allocated to the best possible places on the chip in the first stage to minimize the overall communication cost among cores. We then solve the application scheduling problem to determine the optimum core types from a list of technological alternatives and to minimize the makespan. Moreover, an elegant CP model is proposed to solve VFI problem by mapping and grouping cores at the same time with scheduling the computation tasks as a limited capacity resource allocation model. The paper reports results based on real benchmark datasets from the literature. © 2014 Elsevier Ltd. All rights reserved

Per-RMAP: Feasibility-Seeking and Superiorization Methods for Floorplanning with I/O Assignment

The feasibility-seeking approach provides a systematic scheme to manage and solve complex constraints for continuous problems, and we explore it for the floorplanning problems with increasingly heterogeneous constraints. The classic legality constraints can be formulated as the union of convex sets. However, the convergence of conventional projection-based algorithms is not guaranteed as the constrain sets are non-convex. In this work, we propose a resetting strategy to greatly eliminate the the divergence issue of the projection-based algorithm for the feasibility-seeking formulation. Furthermore, the superiorization methodology (SM), which lies between feasibility-seeking and constrained optimization, is firstly applied to floorplanning. The SM uses perturbations to steer the feasibility-seeking algorithm to a feasible solution with shorter total wirelength. The proposed flow is extendable to tackle various constraints and variants of floorplanning problems, e.g., floorplanning with I/O assignment problems. We have evaluated the proposed algorithm on the MCNC benchmarks. We can obtain legal floorplans only two times slower than the branch-and-bound method in its current prototype using MATLAB, with only 3% wirelength inferior to the optimal results. We evaluate the effectiveness of the flow by considering the constraints of I/O assignment, and our algorithm achieve 8% improvement on wirelength.Comment: Accepted for presentation at the International Symposium of EDA (Electronics Design Automation) ISEDA-2023, Nanjing, China, May 8-11, 202

Physical Planning and Uncore Power Management for Multi-Core Processors

For the microprocessor technology of today and the foreseeable future, multi-core is a key engine that drives performance growth under very tight power dissipation constraints. While previous research has been mostly focused on individual processor cores, there is a compelling need for studying how to efficiently manage shared resources among cores, including physical space, on-chip communication and on-chip storage. In managing physical space, floorplanning is the first and most critical step that largely affects communication efficiency and cost-effectiveness of chip designs. We consider floorplanning with regularity constraints that requires identical processing/memory cores to form an array. Such regularity can greatly facilitate design modularity and therefore shorten design turn-around time. Very little attention has been paid to automatic floorplanning considering regularity constraints because manual floorplanning has difficulty handling the complexity as chip core count increases. In this dissertation work, we investigate the regularity constraints in a simulated-annealing based floorplanner for multi/many core processor designs. A simple and effective technique is proposed to encode the regularity constraints in sequence-pair, which is a classic format of data representation in automatic floorplanning. To the best of our knowledge, this is the first work on regularity-constrained floorplanning in the context of multi/many core processor designs. On-chip communication and shared last level cache (LLC) play a role that is at least as equally important as processor cores in terms of chip performance and power. This dissertation research studies dynamic voltage and frequency scaling for on-chip network and LLC, which forms a single uncore domain of voltage and frequency. This is in contrast to most previous works where the network and LLC are partitioned and associated with processor cores based on physical proximity. The single shared domain can largely avoid the interfacing overhead across domain boundaries and is practical and very useful for industrial products. Our goal is to minimize uncore energy dissipation with little, e.g., 5% or less, performance degradation. The first part of this study is to identify a metric that can reflect the chip performance determined by uncore voltage/frequency. The second part is about how to monitor this metric with low overhead and high fidelity. The last part is the control policy that decides uncore voltage/frequency based on monitoring results. Our approach is validated through full system simulations on public architecture benchmarks

Heurísticas bioinspiradas para el problema de Floorplanning 3D térmico de dispositivos MPSoCs

Tesis inédita de la Universidad Complutense de Madrid, Facultad de Informática, Departamento de Arquitectura de Computadores y Automática, leída el 20-06-2013Depto. de Arquitectura de Computadores y AutomáticaFac. de InformáticaTRUEunpu

Investigation into yield and reliability enhancement of TSV-based three-dimensional integration circuits

Three dimensional integrated circuits (3D ICs) have been acknowledged as a promising technology to overcome the interconnect delay bottleneck brought by continuous CMOS scaling. Recent research shows that through-silicon-vias (TSVs), which act as vertical links between layers, pose yield and reliability challenges for 3D design. This thesis presents three original contributions.The first contribution presents a grouping-based technique to improve the yield of 3D ICs under manufacturing TSV defects, where regular and redundant TSVs are partitioned into groups. In each group, signals can select good TSVs using rerouting multiplexers avoiding defective TSVs. Grouping ratio (regular to redundant TSVs in one group) has an impact on yield and hardware overhead. Mathematical probabilistic models are presented for yield analysis under the influence of independent and clustering defect distributions. Simulation results using MATLAB show that for a given number of TSVs and TSV failure rate, careful selection of grouping ratio results in achieving 100% yield at minimal hardware cost (number of multiplexers and redundant TSVs) in comparison to a design that does not exploit TSV grouping ratios. The second contribution presents an efficient online fault tolerance technique based on redundant TSVs, to detect TSV manufacturing defects and address thermal-induced reliability issue. The proposed technique accounts for both fault detection and recovery in the presence of three TSV defects: voids, delamination between TSV and landing pad, and TSV short-to-substrate. Simulations using HSPICE and ModelSim are carried out to validate fault detection and recovery. Results show that regular and redundant TSVs can be divided into groups to minimise area overhead without affecting the fault tolerance capability of the technique. Synthesis results using 130-nm design library show that 100% repair capability can be achieved with low area overhead (4% for the best case). The last contribution proposes a technique with joint consideration of temperature mitigation and fault tolerance without introducing additional redundant TSVs. This is achieved by reusing spare TSVs that are frequently deployed for improving yield and reliability in 3D ICs. The proposed technique consists of two steps: TSV determination step, which is for achieving optimal partition between regular and spare TSVs into groups; The second step is TSV placement, where temperature mitigation is targeted while optimizing total wirelength and routing difference. Simulation results show that using the proposed technique, 100% repair capability is achieved across all (five) benchmarks with an average temperature reduction of 75.2? (34.1%) (best case is 99.8? (58.5%)), while increasing wirelength by a small amount