We propose a hierarchical multi-layer global router for Sea-Of-Gates VLSI's, which is different from the conventional global routers, in that routing and layering are executed simultaneously. The main problems to be solved in the global routing for a multi-layer VLSI are which wire segments are laid out on upper layers and how they are connected to terminals located on lower layers. The main objective is to minimize the maximum of local congestions of all layers. We solve these problems in a hierarchical manner by routing from upper layers to lower layers.

In this paper, we propose a hybrid hierarchical global router for multi-layer VLSI's, which executes routing and layering simultaneously. This novel approach, a hybrid hierarchical global router, is a combination of a topdown and a bottomup hierarchical routers, and may be one of interesting routing techniques. We also show experimental results, which demonstrate the superiority of the hybrid hierarchical approach. This approach may have many possibilities to be used in a various fields.