Interconnect-driven floorplanning.

Sham Chiu Wing.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 107-113).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivations --- p.1Chapter 1.2 --- Progress on the Problem --- p.2Chapter 1.3 --- Our Contributions --- p.3Chapter 1.4 --- Thesis Organization --- p.5Chapter 2 --- Preliminaries --- p.6Chapter 2.1 --- Introduction --- p.6Chapter 2.1.1 --- The Role of Floorplanning --- p.6Chapter 2.1.2 --- Wirelength Estimation --- p.7Chapter 2.1.3 --- Different Types of Floorplan --- p.8Chapter 2.2 --- Representations of Floorplan --- p.10Chapter 2.2.1 --- Polish Expressions --- p.10Chapter 2.2.2 --- Sequence Pair --- p.11Chapter 2.2.3 --- Bounded-Sliceline Grid (BSG) Structure --- p.13Chapter 2.2.4 --- O-Tree --- p.14Chapter 2.2.5 --- B*-Tree --- p.16Chapter 2.2.6 --- Corner Block List --- p.18Chapter 2.2.7 --- Twin Binary Tree --- p.19Chapter 2.2.8 --- Comparisons between Different Representations --- p.20Chapter 2.3 --- Algorithms of Floorplan Design --- p.20Chapter 2.3.1 --- Constraint Based Floorplanning --- p.21Chapter 2.3.2 --- Integer Programming Based Floorplanning --- p.21Chapter 2.3.3 --- Neural Learning Based Floorplanning --- p.22Chapter 2.3.4 --- Rectangular Dualization --- p.22Chapter 2.3.5 --- Simulated Annealing --- p.23Chapter 2.3.6 --- Genetic Algorithm --- p.23Chapter 2.4 --- Summary --- p.24Chapter 3 --- Literature Review on Interconnect-Driven Floorplanning --- p.25Chapter 3.1 --- Introduction --- p.25Chapter 3.2 --- Simulated Annealing Approach --- p.25Chapter 3.2.1 --- """Pepper - A Timing Driven Early Floorplanner""" --- p.25Chapter 3.2.2 --- """A Timing Driven Block Placer Based on Sequence Pair Model""" --- p.26Chapter 3.2.3 --- """Integrated Floorplanning and Interconnect Planning""" --- p.27Chapter 3.2.4 --- """Interconnect Driven Floorplanning with Fast Global Wiring Planning and Optimization""" --- p.27Chapter 3.3 --- Genetic Algorithm Approach --- p.28Chapter 3.3.1 --- "“Timing Influenced General-cell Genetic Floorplanning""" --- p.28Chapter 3.4 --- Force Directed Approach --- p.29Chapter 3.4.1 --- """Timing Influenced Force Directed Floorplanning""" --- p.29Chapter 3.5 --- Congestion Planning --- p.30Chapter 3.5.1 --- """On the Behavior of Congestion Minimization During Placement""" --- p.30Chapter 3.5.2 --- """Congestion Minimization During Placement""" --- p.31Chapter 3.5.3 --- "“Estimating Routing Congestion Using Probabilistic Anal- ysis""" --- p.31Chapter 3.6 --- Buffer Planning --- p.32Chapter 3.6.1 --- """Buffer Block Planning for Interconnect Driven Floor- planning""" --- p.32Chapter 3.6.2 --- """Routability Driven Repeater Block Planning for Interconnect- centric Floorplanning""" --- p.33Chapter 3.6.3 --- """Provably Good Global Buffering Using an Available Block Plan""" --- p.34Chapter 3.6.4 --- "“Planning Buffer Locations by Network Flows""" --- p.34Chapter 3.6.5 --- """A Practical Methodology for Early Buffer and Wire Re- source Allocation""" --- p.35Chapter 3.7 --- Summary --- p.36Chapter 4 --- Floorplanner with Fixed Buffer Planning [34] --- p.37Chapter 4.1 --- Introduction --- p.37Chapter 4.2 --- Overview of the Floorplanner --- p.38Chapter 4.3 --- Congestion Model --- p.38Chapter 4.3.1 --- Construction of Grid Structure --- p.39Chapter 4.3.2 --- Counting the Number of Routes at a Grid --- p.40Chapter 4.3.3 --- Buffer Location Computation --- p.41Chapter 4.3.4 --- Counting Routes with Blocked Grids --- p.42Chapter 4.3.5 --- Computing the Probability of Net Crossing --- p.43Chapter 4.4 --- Time Complexity --- p.44Chapter 4.5 --- Simulated Annealing --- p.45Chapter 4.6 --- Wirelength Estimation --- p.46Chapter 4.6.1 --- Center-to-center Estimation --- p.47Chapter 4.6.2 --- Corner-to-corner Estimation --- p.47Chapter 4.6.3 --- Intersection-to-intersection Estimation --- p.48Chapter 4.7 --- Multi-pin Nets Handling --- p.49Chapter 4.8 --- Experimental Results --- p.50Chapter 4.9 --- Summary --- p.51Chapter 5 --- Floorplanner with Flexible Buffer Planning [35] --- p.53Chapter 5.1 --- Introduction --- p.53Chapter 5.2 --- Overview of the Floorplanner --- p.54Chapter 5.3 --- Congestion Model --- p.55Chapter 5.3.1 --- Probabilistic Model with Variable Interval Buffer Inser- tion Constraint --- p.57Chapter 5.3.2 --- Time Complexity --- p.61Chapter 5.4 --- Buffer Planning --- p.62Chapter 5.4.1 --- Estimation of Buffer Usage --- p.62Chapter 5.4.2 --- Estimation of Buffer Resources --- p.69Chapter 5.5 --- Two-phases Simulated Annealing --- p.70Chapter 5.6 --- Wirelength Estimation --- p.72Chapter 5.7 --- Multi-pin Nets Handling --- p.73Chapter 5.8 --- Experimental Results --- p.73Chapter 5.9 --- Remarks --- p.76Chapter 5.10 --- Summary --- p.76Chapter 6 --- Global Router --- p.77Chapter 6.1 --- Introduction --- p.77Chapter 6.2 --- Overview of the Global Router --- p.77Chapter 6.3 --- Buffer Insertion Constraint and Congestion Constraint --- p.78Chapter 6.4 --- Multi-pin Nets Handling --- p.79Chapter 6.5 --- Routing Methodology --- p.79Chapter 6.6 --- Implementation --- p.80Chapter 6.7 --- Summary --- p.86Chapter 7 --- Interconnect-Driven Floorplanning by Alternative Packings --- p.87Chapter 7.1 --- Introduction --- p.87Chapter 7.2 --- Overview of the Method --- p.87Chapter 7.3 --- Searching Alternative Packings --- p.89Chapter 7.3.1 --- Rectangular Supermodules in Sequence Pair --- p.89Chapter 7.3.2 --- Finding rearrangable module sets --- p.90Chapter 7.3.3 --- Alternative Sequence Pairs --- p.94Chapter 7.4 --- Implementation --- p.97Chapter 7.4.1 --- Re-calculation of Interconnect Cost --- p.98Chapter 7.4.2 --- Cost Function --- p.101Chapter 7.4.3 --- Time Complexity --- p.101Chapter 7.5 --- Experimental Results --- p.101Chapter 7.6 --- Summary --- p.103Chapter 8 --- Conclusion --- p.105Bibliography --- p.10

Scalability and interconnection issues in floorplan design and floorplan representations.

Yuen Wing-seung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2001.Includes bibliographical references (leaves [116]-[122]).Abstracts in English and Chinese.Abstract --- p.iAcknowledgments --- p.iiiList of Figures --- p.viiiList of Tables --- p.xiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivations and Aims --- p.1Chapter 1.2 --- Contributions --- p.3Chapter 1.3 --- Dissertation Overview --- p.4Chapter 2 --- Physical Design and Floorplanning in VLSI Circuits --- p.6Chapter 2.1 --- VLSI Design Flow --- p.6Chapter 2.2 --- Floorplan Design --- p.8Chapter 2.2.1 --- Problem Formulation --- p.9Chapter 2.2.2 --- Types of Floorplan --- p.10Chapter 3 --- Floorplanning Representations --- p.12Chapter 3.1 --- Polish Expression(PE) [WL86] --- p.12Chapter 3.2 --- Bounded-Sliceline-Grid(BSG) [NFMK96] --- p.14Chapter 3.3 --- Sequence Pair(SP) [MFNK95] --- p.17Chapter 3.4 --- O-tree(OT) [GCY99] --- p.19Chapter 3.5 --- B*-tree(BT) [CCWW00] --- p.21Chapter 3.6 --- Corner Block List(CBL) [HHC+00] --- p.22Chapter 4 --- Optimization Technique in Floorplan Design --- p.27Chapter 4.1 --- General Optimization Methods --- p.27Chapter 4.1.1 --- Simulated Annealing --- p.27Chapter 4.1.2 --- Genetic Algorithm --- p.29Chapter 4.1.3 --- Integer Programming Method --- p.31Chapter 4.2 --- Shape Optimization --- p.33Chapter 4.2.1 --- Shape Curve --- p.33Chapter 4.2.2 --- Lagrangian Relaxation --- p.34Chapter 5 --- Literature Review on Interconnect Driven Floorplanning --- p.37Chapter 5.1 --- Placement Constraint in Floorplan Design --- p.37Chapter 5.1.1 --- Boundary Constraints --- p.37Chapter 5.1.2 --- Pre-placed Constraints --- p.39Chapter 5.1.3 --- Range Constraints --- p.41Chapter 5.1.4 --- Symmetry Constraints --- p.42Chapter 5.2 --- Timing Analysis Method --- p.43Chapter 5.3 --- Buffer Block Planning and Congestion Control --- p.45Chapter 5.3.1 --- Buffer Block Planning --- p.45Chapter 5.3.2 --- Congestion Control --- p.50Chapter 6 --- Clustering Constraint in Floorplan Design --- p.53Chapter 6.1 --- Problem Definition --- p.53Chapter 6.2 --- Overview --- p.54Chapter 6.3 --- Locating Neighboring Modules --- p.56Chapter 6.4 --- Constraint Satisfaction --- p.62Chapter 6.5 --- Multi-clustering Extension --- p.64Chapter 6.6 --- Cost Function --- p.64Chapter 6.7 --- Experimental Results --- p.65Chapter 7 --- Interconnect Driven Multilevel Floorplanning Approach --- p.69Chapter 7.1 --- Multilevel Partitioning --- p.69Chapter 7.1.1 --- Coarsening Phase --- p.70Chapter 7.1.2 --- Refinement Phase --- p.70Chapter 7.2 --- Overview of Multilevel Floorplanner --- p.72Chapter 7.3 --- Clustering Phase --- p.73Chapter 7.3.1 --- Clustering Methods --- p.73Chapter 7.3.2 --- Area Ratio Constraints --- p.75Chapter 7.3.3 --- Clustering Velocity --- p.76Chapter 7.4 --- Refinement Phase --- p.77Chapter 7.4.1 --- Temperature Control --- p.79Chapter 7.4.2 --- Cost Function --- p.80Chapter 7.4.3 --- Handling Shape Flexibility --- p.80Chapter 7.5 --- Experimental Results --- p.81Chapter 7.5.1 --- Data Set Generation --- p.82Chapter 7.5.2 --- Temperature Control --- p.82Chapter 7.5.3 --- Packing Results --- p.83Chapter 8 --- Study of Non-slicing Floorplan Representations --- p.89Chapter 8.1 --- Analysis of Different Floorplan Representations --- p.89Chapter 8.1.1 --- Complexity --- p.90Chapter 8.1.2 --- Types of Floorplans --- p.92Chapter 8.2 --- T-junction Orientation Property --- p.97Chapter 8.3 --- Twin Binary Tree Representation for Mosaic Floorplan --- p.103Chapter 8.3.1 --- Previous work --- p.103Chapter 8.3.2 --- Twin Binary Tree Construction --- p.105Chapter 8.3.3 --- Floorplan Construction --- p.109Chapter 9 --- Conclusion --- p.114Chapter 9.1 --- Summary --- p.114Bibliography --- p.116Chapter A --- Clustering Constraint Data Set --- p.123Chapter A.1 --- ami33 --- p.123Chapter A.1.1 --- One cluster --- p.123Chapter A.1.2 --- Multi-cluster --- p.123Chapter A.2 --- ami49 --- p.124Chapter A.2.1 --- One cluster --- p.124Chapter A.2.2 --- Multi-cluster --- p.124Chapter A.3 --- playout --- p.124Chapter A.3.1 --- One cluster --- p.124Chapter A.3.2 --- Multi-cluster --- p.125Chapter B --- Multilevel Data Set --- p.126Chapter B.l --- data_100 --- p.126Chapter B.2 --- data_200 --- p.127Chapter B.3 --- data_300 --- p.129Chapter B.4 --- data_400 --- p.131Chapter B.5 --- data_500 --- p.13

Efficient approaches in interconnect-driven floorplanning.

Lai Tsz Wai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 123-129).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- VLSI Design Cycle --- p.2Chapter 1.2 --- Physical Design Cycle --- p.4Chapter 1.3 --- Floorplanning --- p.7Chapter 1.3.1 --- Types of Floorplan and Floorplan Representations --- p.11Chapter 1.3.2 --- Interconnect-driven Floorplanning --- p.13Chapter 1.4 --- Motivations and Contributions --- p.17Chapter 1.5 --- Organization of this Thesis --- p.18Chapter 2 --- Literature Review on Floorplan Representation --- p.20Chapter 2.1 --- Slicing Floorplan Representation --- p.20Chapter 2.1.1 --- Normalized Polish Expression --- p.20Chapter 2.2 --- Non-slicing Floorplan Representations --- p.21Chapter 2.2.1 --- Sequence Pair (SP) --- p.21Chapter 2.2.2 --- Bounded-sliceline Grid (BSG) --- p.23Chapter 2.2.3 --- O-tree --- p.25Chapter 2.2.4 --- B*-tree --- p.26Chapter 2.3 --- Mosaic Floorplan Representations --- p.28Chapter 2.3.1 --- Corner Block List (CBL) --- p.28Chapter 2.3.2 --- Twin Binary Trees (TBT) --- p.31Chapter 2.3.3 --- Twin Binary Sequences (TBS) --- p.32Chapter 2.4 --- Summary --- p.34Chapter 3 --- Literature Review on Interconnect Optimization in Floorplan- ning --- p.37Chapter 3.1 --- Wirelength Estimation --- p.37Chapter 3.2 --- Congestion Optimization --- p.38Chapter 3.2.1 --- Integrated Floorplanning and Interconnect Planning --- p.41Chapter 3.2.2 --- Multi-layer Global Wiring Planning (GWP) --- p.43Chapter 3.2.3 --- Estimating Routing Congestion using Probabilistic Anal- ysis --- p.44Chapter 3.2.4 --- Congestion Minimization During Placement --- p.46Chapter 3.2.5 --- Modelling and Minimization of Routing Congestion --- p.48Chapter 3.3 --- Buffer Planning --- p.49Chapter 3.3.1 --- Buffer Clustering with Feasible Region --- p.51Chapter 3.3.2 --- Routability-driven Repeater Clustering Algorithm with Iterative Deletion --- p.55Chapter 3.3.3 --- Planning Buffer Locations by Network Flow --- p.58Chapter 3.3.4 --- Buffer Planning using Integer Multicommodity Flow --- p.60Chapter 3.3.5 --- Buffer Planning Problem using Tile Graph --- p.60Chapter 3.3.6 --- Probabilistic Analysis for Buffer Block Planning --- p.62Chapter 3.3.7 --- Fast Buffer Planning and Congestion Optimization --- p.63Chapter 3.4 --- Summary --- p.66Chapter 4 --- Congestion Evaluation: Wire Density Model --- p.68Chapter 4.1 --- Introduction --- p.68Chapter 4.2 --- Overview of Our Floorplanner --- p.70Chapter 4.3 --- Wire Density Model --- p.71Chapter 4.3.1 --- Computation of Ni --- p.72Chapter 4.3.2 --- Computation of Pi --- p.74Chapter 4.3.3 --- Usage of Mirror TBT --- p.76Chapter 4.4 --- Implementation --- p.76Chapter 4.4.1 --- Efficient Calculation of Ni --- p.76Chapter 4.4.2 --- Solving the LCA Problem Efficiently --- p.81Chapter 4.4.3 --- Cost Function --- p.81Chapter 4.4.4 --- Complexity --- p.81Chapter 4.5 --- Experimental Results --- p.82Chapter 4.6 --- Conclusion --- p.83Chapter 5 --- Buffer Planning: Simple Buffer Planning Method --- p.85Chapter 5.1 --- Introduction --- p.85Chapter 5.2 --- Variable Interval Buffer Insertion Constraint --- p.87Chapter 5.3 --- Overview of Our Floorplanner --- p.88Chapter 5.4 --- Buffer Planning --- p.89Chapter 5.4.1 --- Feasible Grids --- p.89Chapter 5.4.2 --- Table Look-up Approach --- p.89Chapter 5.5 --- Implementation --- p.91Chapter 5.5.1 --- Building the Look-up Tables --- p.91Chapter 5.5.2 --- An Example of Look-up Table Construction --- p.94Chapter 5.5.3 --- A Faster Approach for Building the Look-up Tables --- p.101Chapter 5.5.4 --- An Example of the Faster Look-up Table Construction --- p.105Chapter 5.5.5 --- I/O Pin Locations --- p.106Chapter 5.5.6 --- Cost Function --- p.110Chapter 5.5.7 --- Complexity --- p.111Chapter 5.6 --- Experimental Results --- p.112Chapter 5.6.1 --- Selected Value for A --- p.112Chapter 5.6.2 --- Performance of Our Floorplanner --- p.113Chapter 5.7 --- Conclusion --- p.116Chapter 6 --- Conclusion --- p.118Chapter A --- An Efficient Algorithm for the Least Common Ancestor Prob- lem --- p.120Bibliography --- p.12