Simulated Annealing Based Parallel State Assignment of Finite State Machines

Abstract

Simulated annealing is an effective tool in many optimization problems in VLSI CAD but its time requirements are prohibitive. In this paper, we report parallel algorithms for a well established simulated annealing based algorithm for the state assignment problem for finite state machines. Our parallel annealing strategy uses parallel moves by multiple processes, each performing local moves within its assigned subspace of the state encoding space. The novelty is in the dynamic repartitioning of the state space among processors, so that each processor gets to perform moves on the entire space over time. This is important to keep the quality of the parallel algorithm comparable to the serial algorithm. Our algorithm gives quality results within 0.05% of the serial algorithm on 64 processors. Our algorithms, ProperJEDI and PartJEDI, are portable across a wide range of MIMD machines. PartJEDI is memory scalable and is incrementally developed from ProperJEDI which is data replicated. For a large circuit, ProperJEDI reduces the runtime from 11 h to 10 min on a 64-processor machine. For the same circuit, PartJEDI reduces the runtime from 11 h to 20 min and memory requirement from 114 to 2 MB.