M. Sarrafzadeh et al., SINGLE-LAYER GLOBAL ROUTING, IEEE transactions on computer-aided design of integrated circuits and systems, 13(1), 1994, pp. 38-47
We introduce the single-layer global routing problem (SLGRP), also cal
led homotopic routing or rubber-band- equivalent routing, and propose
a technique for solving it. Given a set of nets, the proposed techniqu
e first determines the routing sequence based on the estimated congest
ion, the bounding-box length and priority. Then, it finds a routing pa
th, being a sequence of tiles, for each net (one net at a time), avoid
ing ''congested'' areas. The overall goal of the algorithm is to maxim
ize the number of routed nets. The proposed global router is the first
true singlelayer global router ever reported in the literature. The s
ize of tiles, omega x omega, is an input parameter in our algorithm. F
or omega = 1, the proposed global router serves as an effective detail
ed router. An optimal postprocessing algorithm, minimizing wire length
and number of bends, under homotopic transformation, is presented. Th
e technique has been implemented and tried out for randomly generated
data. The algorithm is very efficient and produces good results.