1. Relaxation and Clustering in a Local Search Framework: Application to Linear Placement
- Author
-
Sung Woo Hur and John Lillis
- Subjects
Very-large-scale integration ,Mathematical optimization ,Computer science ,business.industry ,Computer Graphics and Computer-Aided Design ,Graph ,lcsh:QA75.5-76.95 ,Local optimum ,Hardware and Architecture ,Netlist ,Graph (abstract data type) ,Guided Local Search ,Local search (optimization) ,lcsh:Electronic computers. Computer science ,Relaxation (approximation) ,Electrical and Electronic Engineering ,Physical design ,business ,Cluster analysis ,Mathematics - Abstract
This paper presents two primary results relevant to physical design problems in CAD/VLSI through a case study of the linear placement problem. First a local search mechanism which incorporates a sophisticated neighborhood operator based on constraint relaxation is proposed. The strategy exhibits many of the desirable features of analytical placement while retaining the flexibility and non-determinism of local search. The second and orthogonal contribution is in netlist clustering. We characterize local optima in the linear placement problem through a simple visualization tool—the displacement graph. This characterization reveals the relationship between clusters and local optima and motivates a dynamic clustering scheme designed specifically for escaping such local optima. Promising experimental results are reported.
- Published
- 2002