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Near-Optimal n-Layer Channel Routing

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TLDR
Two n -layer channel routing algorithms that guarantee successful routing of the channel for n greater than three are presented and one is linear and optimal given a VHV …HV assignment of layers and the other is quasilinear and performs optimally on examples from the literature.
Abstract
In this paper we present two n-layer channel routing algorithms that guarantee successful routing of the channel for n greater than three. The first is linear and optimal given a VHV...HV assignment of layers. The second, using an HVH...VH layer assignment, is quasilinear and performs optimally on examples from the literature. Except in pathological cases, we expect the latter router to perform within one row of optimal. For comparison with published examples we implemented the second router in five and three layers. The five-layer implementation routed all examples optimally while the three-layer implementation routed the examples with the same or fewer rows than the published examples. With its n-layer capability this channel router will allow channel routing to be used when more than three layers are available. This router can also be used to evaluate the utility of additional layers.

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Citations
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References
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Journal ArticleDOI

Efficient Algorithms for Channel Routing

TL;DR: Two new algorithms merge nets instead of assigning horizontal tracks to individual nets to route a specified net list between two rows of terminals across a two-layer channel in the layout design of LSI chips.
Proceedings ArticleDOI

A “DOGLEG” channel router

TL;DR: The routing algorithm presented here was developed as part of LTX, a computer-aided design system for integrated circuit layout and was implemented on an HP-2100 minicomputer.
Proceedings ArticleDOI

A "Greedy" Channel Router

TL;DR: A new, “greedy”, channel-router that always succeeds, usually using no more than one track more than required by channel density, and may be forced in rare cases to make a few connections "off the end” of the channel.
Journal ArticleDOI

Three-Layer Channel Routing

TL;DR: Two special types of three-layer channel routing, VHV and HVH, are introduced in this paper, and the merging algorithm and the left edge algorithm used in two-layer routing can be extended to three layers.
Proceedings ArticleDOI

LTX-A system for the directed automatic design of LSI circuits

TL;DR: LTX is a minicomputer-based design system for large-scale integrated circuit chip layout which offers a flexible set of interactive and automatic procedures for translating a circuit connectivity description into a finished mask design.
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