A provably tight delay-driven concurrently congestion mitigating global routing algorithm

Radhamanjari Samanta, Adil I. Erzin, Soumyendu Raha, Yuriy V. Shamardin, Ivan I. Takhonov and Vyacheslav V. Zalyubovskiy

Applied Mathematics and Computation, 2015, vol. 255, issue C, 92-104

Abstract: Routing is a very important step in VLSI physical design. A set of nets are routed under delay and resource constraints in multi-net global routing. In this paper a delay-driven congestion-aware global routing algorithm is developed, which is a heuristic based method to solve a multi-objective NP-hard optimization problem. The proposed delay-driven Steiner tree construction method is of O(n2logn) complexity, where n is the number of terminal points and it provides n-approximation solution of the critical time minimization problem for a certain class of grid graphs. The existing timing-driven method (Hu and Sapatnekar, 2002) has a complexity O(n4) and is implemented on nets with small number of sinks. Next we propose a FPTAS Gradient algorithm for minimizing the total overflow. This is a concurrent approach considering all the nets simultaneously contrary to the existing approaches of sequential rip-up and reroute. The algorithms are implemented on ISPD98 derived benchmarks and the drastic reduction of overflow is observed.

Keywords: Steiner tree; Elmore delay; Global routing; Gradient method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:255:y:2015:i:c:p:92-104

DOI: 10.1016/j.amc.2014.11.062

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