Optimization by iterative improvement: an experimental evaluation on two-way partitioning

Recently, Johnson et al. [1989] presented an excellent comparison of simulated annealing and Kernighan-Lin algorithms. However, their test beds were limited to random and geometric graphs. We present a complete evaluation by adding real circuitry into the test beds. A two-level partitioning algorithm called the primal-dual algorithm is also incorporated for comparison. We show that at least 500 runs are necessary to demonstrate the performance of the Fiduccia-Mattheyses algorithm, whereas traditional way of evaluation tends to underestimate. Nevertheless, our new results show that for two-way partitioning on real circuits, the primal-dual algorithm is, in general, a better choice than both the Fiduccia-Mattheyses algorithm and the simulated annealing algorithm. This conclusion is more likely to hold when the primal-dual algorithm is switched to a simpler mode