Limits on Fundamental Limits to Computation

An indispensable part of our lives, computing has also become essential to industries and governments. Steady improvements in computer hardware have been supported by periodic doubling of transistor densities in integrated circuits over the last fifty years. Such Moore scaling now requires increasingly heroic efforts, stimulating research in alternative hardware and stirring controversy. To help evaluate emerging technologies and enrich our understanding of integrated-circuit scaling, we review fundamental limits to computation: in manufacturing, energy, physical space, design and verification effort, and algorithms. To outline what is achievable in principle and in practice, we recall how some limits were circumvented, compare loose and tight limits. We also point out that engineering difficulties encountered by emerging technologies may indicate yet-unknown limits.Comment: 15 pages, 4 figures, 1 tabl

Interconnect Planning for Physical Design of 3D Integrated Circuits

Vertical stacking—based on modern manufacturing and integration technologies—of multiple 2D chips enables three-dimensional integrated circuits (3D ICs). This exploitation of the third dimension is generally accepted for aiming at higher packing densities, heterogeneous integration, shorter interconnects, reduced power consumption, increased data bandwidth, and realizing highly-parallel systems in one device. However, the commercial acceptance of 3D ICs is currently behind its expectations, mainly due to challenges regarding manufacturing and integration technologies as well as design automation. This work addresses three selected, practically relevant design challenges: (i) increasing the constrained reusability of proven, reliable 2D intellectual property blocks, (ii) planning different types of (comparatively large) through-silicon vias with focus on their impact on design quality, as well as (iii) structural planning of massively-parallel, 3D-IC-specific interconnect structures during 3D floorplanning. A key concept of this work is to account for interconnect structures and their properties during early design phases in order to support effective and high-quality 3D-IC-design flows. To tackle the above listed challenges, modular design-flow extensions and methodologies have been developed. Experimental investigations reveal the effectiveness and efficiency of the proposed techniques, and provide findings on 3D integration with particular focus on interconnect structures. We suggest consideration of these findings when formulating guidelines for successful 3D-IC design automation.:1 Introduction 1.1 The 3D Integration Approach for Electronic Circuits 1.2 Technologies for 3D Integrated Circuits 1.3 Design Approaches for 3D Integrated Circuits 2 State of the Art in Design Automation for 3D Integrated Circuits 2.1 Thermal Management 2.2 Partitioning and Floorplanning 2.3 Placement and Routing 2.4 Power and Clock Delivery 2.5 Design Challenges 3 Research Objectives 4 Planning Through-Silicon Via Islands for Block-Level Design Reuse 4.1 Problems for Design Reuse in 3D Integrated Circuits 4.2 Connecting Blocks Using Through-Silicon Via Islands 4.2.1 Problem Formulation and Methodology Overview 4.2.2 Net Clustering 4.2.3 Insertion of Through-Silicon Via Islands 4.2.4 Deadspace Insertion and Redistribution 4.3 Experimental Investigation 4.3.1 Wirelength Estimation 4.3.2 Configuration 4.3.3 Results and Discussion 4.4 Summary and Conclusions 5 Planning Through-Silicon Vias for Design Optimization 5.1 Deadspace Requirements for Optimized Planning of Through-Silicon Vias 5.2 Multiobjective Design Optimization of 3D Integrated Circuits 5.2.1 Methodology Overview and Configuration 5.2.2 Techniques for Deadspace Optimization 5.2.3 Design-Quality Analysis 5.2.4 Planning Different Types of Through-Silicon Vias 5.3 Experimental Investigation 5.3.1 Configuration 5.3.2 Results and Discussion 5.4 Summary and Conclusions 6 3D Floorplanning for Structural Planning of Massive Interconnects 6.1 Block Alignment for Interconnects Planning in 3D Integrated Circuits 6.2 Corner Block List Extended for Block Alignment 6.2.1 Alignment Encoding 6.2.2 Layout Generation: Block Placement and Alignment 6.3 3D Floorplanning Methodology 6.3.1 Optimization Criteria and Phases and Related Cost Models 6.3.2 Fast Thermal Analysis 6.3.3 Layout Operations 6.3.4 Adaptive Optimization Schedule 6.4 Experimental Investigation 6.4.1 Configuration 6.4.2 Results and Discussion 6.5 Summary and Conclusions 7 Research Summary, Conclusions, and Outlook Dissertation Theses Notation Glossary BibliographyDreidimensional integrierte Schaltkreise (3D-ICs) beruhen auf neuartigen Herstellungs- und Integrationstechnologien, wobei vor allem “klassische” 2D-ICs vertikal zu einem neuartigen 3D-System gestapelt werden. Dieser Ansatz zur Erschließung der dritten Dimension im Schaltkreisentwurf ist nach Expertenmeinung dazu geeignet, höhere Integrationsdichten zu erreichen, heterogene Integration zu realisieren, kürzere Verdrahtungswege zu ermöglichen, Leistungsaufnahmen zu reduzieren, Datenübertragungsraten zu erhöhen, sowie hoch-parallele Systeme in einer Baugruppe umzusetzen. Aufgrund von technologischen und entwurfsmethodischen Schwierigkeiten bleibt jedoch bisher die kommerzielle Anwendung von 3D-ICs deutlich hinter den Erwartungen zurück. In dieser Arbeit werden drei ausgewählte, praktisch relevante Problemstellungen der Entwurfsautomatisierung von 3D-ICs bearbeitet: (i) die Verbesserung der (eingeschränkten) Wiederverwendbarkeit von zuverlässigen 2D-Intellectual-Property-Blöcken, (ii) die komplexe Planung von verschiedenartigen, verhältnismäßig großen Through-Silicion Vias unter Beachtung ihres Einflusses auf die Entwurfsqualität, und (iii) die strukturelle Einbindung von massiv-parallelen, 3D-IC-spezifischen Verbindungsstrukturen während der Floorplanning-Phase. Das Ziel dieser Arbeit besteht darin, Verbindungsstrukturen mit deren wesentlichen Eigenschaften bereits in den frühen Phasen des Entwurfsprozesses zu berücksichtigen. Dies begünstigt einen qualitativ hochwertigen Entwurf von 3D-ICs. Die in dieser Arbeit vorgestellten modularen Entwurfsprozess-Erweiterungen bzw. -Methodiken dienen zur effizienten Lösung der oben genannten Problemstellungen. Experimentelle Untersuchungen bestätigen die Wirksamkeit sowie die Effektivität der erarbeiten Methoden. Darüber hinaus liefern sie praktische Erkenntnisse bezüglich der Anwendung von 3D-ICs und der Planung deren Verbindungsstrukturen. Diese Erkenntnisse sind zur Ableitung von Richtlinien für den erfolgreichen Entwurf von 3D-ICs dienlich.:1 Introduction 1.1 The 3D Integration Approach for Electronic Circuits 1.2 Technologies for 3D Integrated Circuits 1.3 Design Approaches for 3D Integrated Circuits 2 State of the Art in Design Automation for 3D Integrated Circuits 2.1 Thermal Management 2.2 Partitioning and Floorplanning 2.3 Placement and Routing 2.4 Power and Clock Delivery 2.5 Design Challenges 3 Research Objectives 4 Planning Through-Silicon Via Islands for Block-Level Design Reuse 4.1 Problems for Design Reuse in 3D Integrated Circuits 4.2 Connecting Blocks Using Through-Silicon Via Islands 4.2.1 Problem Formulation and Methodology Overview 4.2.2 Net Clustering 4.2.3 Insertion of Through-Silicon Via Islands 4.2.4 Deadspace Insertion and Redistribution 4.3 Experimental Investigation 4.3.1 Wirelength Estimation 4.3.2 Configuration 4.3.3 Results and Discussion 4.4 Summary and Conclusions 5 Planning Through-Silicon Vias for Design Optimization 5.1 Deadspace Requirements for Optimized Planning of Through-Silicon Vias 5.2 Multiobjective Design Optimization of 3D Integrated Circuits 5.2.1 Methodology Overview and Configuration 5.2.2 Techniques for Deadspace Optimization 5.2.3 Design-Quality Analysis 5.2.4 Planning Different Types of Through-Silicon Vias 5.3 Experimental Investigation 5.3.1 Configuration 5.3.2 Results and Discussion 5.4 Summary and Conclusions 6 3D Floorplanning for Structural Planning of Massive Interconnects 6.1 Block Alignment for Interconnects Planning in 3D Integrated Circuits 6.2 Corner Block List Extended for Block Alignment 6.2.1 Alignment Encoding 6.2.2 Layout Generation: Block Placement and Alignment 6.3 3D Floorplanning Methodology 6.3.1 Optimization Criteria and Phases and Related Cost Models 6.3.2 Fast Thermal Analysis 6.3.3 Layout Operations 6.3.4 Adaptive Optimization Schedule 6.4 Experimental Investigation 6.4.1 Configuration 6.4.2 Results and Discussion 6.5 Summary and Conclusions 7 Research Summary, Conclusions, and Outlook Dissertation Theses Notation Glossary Bibliograph

High-performance Global Routing for Trillion-gate Systems-on-Chips.

Due to aggressive transistor scaling, modern-day CMOS circuits have continually increased in both complexity and productivity. Modern semiconductor designs have narrower and more resistive wires, thereby shifting the performance bottleneck to interconnect delay. These trends considerably impact timing closure and call for improvements in high-performance physical design tools to keep pace with the current state of IC innovation. As leading-edge designs may incorporate tens of millions of gates, algorithm and software scalability are crucial to achieving reasonable turnaround time. Moreover, with decreasing device sizes, optimizing traditional objectives is no longer sufficient. Our research focuses on (i) expanding the capabilities of standalone global routing, (ii) extending global routing for use in different design applications, and (iii) integrating routing within broader physical design optimizations and flows, e.g., congestion-driven placement. Our first global router relies on integer-linear programming (ILP), and can solve fairly large problem instances to optimality. Our second iterative global router relies on Lagrangian relaxation, where we relax the routing violation constraints to allowing routing overflow at a penalty. In both approaches, our desire is to give the router the maximum degree of freedom within a specified context. Empirically, both routers produce competitive results within a reasonable amount of runtime. To improve routability, we explore the incorporation of routing with placement, where the router estimates congestion and feeds this information to the placer. In turn, the emphasis on runtime is heightened, as the router will be invoked multiple times. Empirically, our placement-and-route framework significantly improves the final solution’s routability than performing the steps sequentially. To further enhance routability-driven placement, we (i) leverage incrementality to generate fast and accurate congestion maps, and (ii) develop several techniques to relieve cell-based and layout-based congestion. To broaden the scope of routing, we integrate a global router in a chip-design flow that addresses the buffer explosion problem.PHDComputer Science and EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/98025/1/jinhu_1.pd

High-Performance Placement and Routing for the Nanometer Scale.

Modern semiconductor manufacturing facilitates single-chip electronic systems that only five years ago required ten to twenty chips. Naturally, design complexity has grown within this period. In contrast to this growth, it is becoming common in the industry to limit design team size which places a heavier burden on design automation tools. Our work identifies new objectives, constraints and concerns in the physical design of systems-on-chip, and develops new computational techniques to address them. In addition to faster and more relevant design optimizations, we demonstrate that traditional design flows based on ``separation of concerns'' produce unnecessarily suboptimal layouts. We develop new integrated optimizations that streamline traditional chains of loosely-linked design tools. In particular, we bridge the gap between mixed-size placement and routing by updating the objective of global and detail placement to a more accurate estimate of routed wirelength. To this we add sophisticated whitespace allocation, and the combination provides increased routability, faster routing, shorter routed wirelength, and the best via counts of published techniques. To further improve post-routing design metrics, we present new global routing techniques based on Discrete Lagrange Multipliers (DLM) which produce the best routed wirelength results on recent benchmarks. Our work culminates in the integration of our routing techniques within an incremental placement flow to improve detailed routing solutions, shrink die sizes and reduce total chip cost. Not only do our techniques improve the quality and cost of designs, but also simplify design automation software implementation in many cases. Ultimately, we reduce the time needed for design closure through improved tool fidelity and the use of our incremental techniques for placement and routing.Ph.D.Computer Science & EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/64639/1/royj_1.pd

On Whitespace and Stability in Physical Synthesis

In the context of physical synthesis, large-scale standard-cell placement algorithms must facilitate incremental changes to layout, both local and global. In particular, flexible gate sizing, net buffering and detail placement require a certain amount of unused space in every region of the die. The need for “local ” whitespace is further emphasized by temperature and power-density limits as well as the increasing use of buffered interconnect. Another requirement, the stability of placement results from run to run, is important to the convergence of physical synthesis loops. Indeed, logic re-synthesis targeting local congestion in a given placement or particular critical paths may be irrelevant for another placement pro-duced by the same or a different layout tool. In this work we offer solutions to the above problems. We show how to tie the results of a placer to a previously exist-ing placement, and yet leave room for optimization. In our experiments this technique produces placements with similar congestion maps. We also show how to trade off wirelength for routability by manipulating whitespace. Empirically, our techniques improve circuit delay of sparse layouts in conjunction with physical synthesis. Our proposed techniques can be implemented using existing commercial placement tools without source code modifications and with modest over-head. They can also be integrated directly into min-cut placers with negligible overhead. We consider in particular detail the problem of scaling existing IP blocks to increase their porosity. Indeed, the need for additional repeater insertion when migrating a block to a newer process node often implies re-optimizing the layout. Our techniques for achieving placement stability allow one to rescale an existing layout with different minimum local whitespace requirements. In contrast to current ECO techniques, our rescaling method is not restricted to small changes of the netlist and layout, but will attempt to keep the relative placements similar if that is possible.