“…On the one hand, there are multiple heuristic-based approaches for global routing including regionwise routing (Hu and Sapatnekar, 2001), force-directed routing (Mo, Tabbara, and Brayton, 2001), and rip-up and reroute (Cho et al, 2007). Besides, (Shi, Davoodi, and Linderoth, 2016) proposes a method to improve the distribution of congestion in global routing, and (Shi and Davoodi, 2017) propose a framework to analyze local congestion for global routing. On the other hand, the most commonly used detailed routing algorithms are channel routing and its variants (Ho, Iyengar, and Zheng, 1991;Mandal et al, 2020), which decompose the routing region into routing channels and generate wires in these channels (Chen and Chang, 2009).…”