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REFINEMENT APPROACHES FOR RECTILINEAR STEINER TREE CONSTRUCTION, T.-H. Chao and Y.-C. Hsu | |
Existing Approaches | |
Local and Global Refinement | |
Weight of Edges | |
Refined Steiner Tree and Modified Tree | |
Local Refinement | |
Global Refinement | |
Tree Refinement Algorithm | |
Implementation and Experiments | |
Root Selection and Node Ordering | |
The Efficiency of Loop Detection | |
Useless Steiner Points | |
Experimental Results | |
Remarks | |
References | |
RECTILINEAR INTERCONNECTIONS IN PRESENCE OF OBSTACLES, J.P. Colhoon and J.L. Ganley | |
Introduction | |
Two-Terminal Interconnections | |
Grid-based Algorithms | |
Line-based Algorithms | |
Multiple Net Routing | |
Multi-Terminal Interconnections | |
Escape Graph Reduction | |
Exact Algorithms | |
Graph-based Heuristics | |
Other Heuristics | |
Special Cases | |
Terminals on Obstacle Perimeters | |
Switchboxes with Obstacles | |
Open Problems | |
Graph Reductions | |
Computing Optimal OARSTs | |
Multiple-net Steiner Tree Routing | |
References | |
THE GENERAL SOLUTION OF THE RECTILINEAR STEINER'S PROBLEM AND ITS APPLICATIONS, Y.T. Wong and M.G. Pecht | |
Basic Definitions | |
Basic Connectives in an NR Edge-set Tree | |
Cliques | |
Evolved Cliques | |
Edge Set and Clique Replacements | |
The General Solution | |
Algorithms for the General Solution | |
Finding an NR Edge-set Tree | |
Finding a Three-edge-set Clique | |
Finding an m-Edge-set Clique or a Set of Edge Sets Connecting (m+3)/2 Edge-set Trees | |
Finding Sets of Edge Set Trees for nT Subsets of Nodes | |
Finding an Edge-set Tree Tested by Cm | |
Finding the General Solution | |
Binary Trees Storing Edge-set Trees | |
Algorithm Expansions | |
A Definition for an Algorithm Expansion | |
Expansion Indices for the Solution of Rectilinear Steiner's Problem | |
Length Reduction Contributed by Merging Redundant Edges | |
Linear Algorithms for Special Cases | |
Linear Algorithm for the General Solution of the Switch-box Problem | |
Linear Algorithm for MRSTs Connecting Nodes on the Boundary of a Polygon | |
A Nearly Linear Algorithm Finding an NR Edge-set tree | |
The Number of Nodes Connected by an NR Edge-set tree Containing a Set of MRSTs | |
The MRST Routing | |
Figure of Merit for Wire Congestion | |
An MRST Routing | |
Conclusions | |
References | |
PERFORMANCE DRIVEN GLOBAL ROUTING AND WIRING RULE GENERATION FOR HIGH SPEED PCBS AND MCMS, P.D. Franzon and S. Mehrotra | |
Signal Integrity Management | |
Signal Integrity Requirements | |
Delay and Noise Basics | |
High Speed Interconnect Design | |
CAD Approaches to Controlling Delay and Reflection Noise | |
Delay Equations | |
On-Line Simulation Approach | |
Pre-Characterization | |
Conclusions | |
References | |
ROUTING FOR ANALOG AND MIXED CIRCUIT, E. Malavasi | |
Overview of Current Approaches | |
Routers Based on Net Classification | |
Weight-driven Routers | |
Constraint-driven Routers | |
Analog Constraints for Routing | |
Sensitivity Analysis for Constraint Generation | |
Limits of the Constraint-generation Solution | |
Extension sto the Digital Circuits | |
Analog Area Routing | |
Analog Channel Routing | |
Parasitic Models for Interconnections | |
Special Features | |
Wire Width Control | |
Matching | |
Symmetries | |
Shields | |
Building Lateral Shields | |
Building Vertical Shields | |
References | |
SEGMENTED CHANNEL ROUTING, K. Roy | |
Preliminaries and Definitions | |
Bounced Search Algorithm | |
Cost Functions | |
The Algorithm | |
Net Ordering Schemes | |
Fault Tolerance due to Inherent Redundancy | |
Channel Segmentation | |
Cross Antifuse Programming and Channel Routing | |
Channel Architecture Synthesis | |
Implenentation and Results | |
Conclusions | |
References | |
RESTRICTED ROUTING FOR CMOS GATE ARRAYS, B. Zhu, A. Lu, and X. Wu | |
Technological Features of CMOS Gate Arrays | |
Review on Routing | |
Review on Global Routing | |
Review on Contact-region Routing | |
Review on Main-channel Routing | |
Global Routing Based on the Analysis of Routing Resources | |
Initial Global Routing | |
Rerouting | |
Contact-Region Routing | |
Approach Aiming at Minimizing Density | |
Reassigning Pins Evenly by Routing in Contact-region | |
Main-channel Routing | |
A Greedy Router with Routability Prediction | |
Routing Based on Assigning Resources | |
References | |
RECENT DEVELOPMENTS IN WIRING AND VIA MINIMIZATION, P. Molitor | |
Review on Wiring | |
Two-layer Wirability and Coherent Problems | |
Two-layer Wirability | |
Stretching to Ensure 2-layer Wirability | |
The Constrained Via Minimization Problem | |
Wiring for Interconnect Delay Minimization | |
Two Layers with Same Conductivity | |
Two Layers with Different Conductivities | |
Hierarchical Wiring | |
References | |
LAYOUT COMPACTIONS FOR HIGH-PERFORMANCE/LARGE-SCALE CIRCUITS, H. Shin | |
Introductory Tutorial | |
Virtual Grid, Graph-based, and Lp-based Compactions | |
Branch-and-bound, ILP, Supercompaction , and Zone-defining | |
Jog-insertion | |
Performance-oriented Compactors | |
Minimization sof Stray Resistance and Capacitance on the Timing Critical Path | |
Local Transformations of Layouts for Performance Optimizations | |
Data Structure and Algorithms for Rule Checking and Compaction | |
Compaction for Hierarchical Design | |
Future Development | |
References | |
RIP-UP AND REROUTE STRATEGIES, M. Raith | |
Basic Concepts and Strategies | |
Problem Description | |
Current Approaches | |
Shove Aside | |
Reflection | |
Strong Rip-up | |
Limitations | |
Requirements for Future Strategies | |
Basic Concept and Strategy | |
The Method of Minimal Rip-up Set | |
Minimization Problem | |
The New Strategy | |
The Algorithm | |
Example | |
Conclusion and Open Problems | |
References | |
PARALLEL ROUTING, T.W. Cho | |
Design Guide for Parallel Processing | |
Hardware Optimals for Parallel Routing | |
Interconnection Schemes | |
Special Purpose Hardware | |
General Purpose Hardware | |
Hardware Routing | |
Fast Maze Router | |
Interative Array Maze Router | |
Wire-Routing Machines | |
A Wave Front Machine | |
A New Routing Algorithm and Its Hardware Implementation | |
A Hardware Accelerator for Maze Routing | |
Parallel Routing with Multiprocessors | |
Shared Memory Router | |
Parallel Global Router | |
A Parallel Approach to Switchbox Routing | |
Parallex Algorithm | |
Representation of a Route | |
Data Structures | |
Conflict Group | |
Fixed Segments and Re-Routable Segments | |
Search Lists | |
Architecture of Parallelex | |
Overview of Algorithm | |
Message Passing | |
Routing on Hypercube Computer | |
Hypercube Maze Router | |
Neural Network Approach | |
Conclusions | |
References | |
APPENDIX A: SYMBOLS | |
APPENDIX B: ACRONYMS | |
APPENDIX C: GLOSSARY | |
INDEX |