Shin ISHII, Masaaki SATO
Chaotic Potts spin
Abstract:In this paper, first, we show some of the bifurcation properties of Potts mean field theory annealing applied to traveling salesman problems. Due to these bifurcation properties, this approach, in general, produces non-optimal and non-unique solutions. As an alternative approach, we propose a nonequilibrium version of the Potts spin neural network, called Chaotic Potts Spin (CPS). CPS has several parameters, and bifurcation over each parameter is investigated. Next, experimental results are shown comparing CPS with several related approaches. CPS is good at obtaining the optimal solutions for small-scale problems and semi-optimal solutions for relatively large-scale problems. We also describe a modified algorithm in which a heuristic method is employed. This modified algorithm can produce even better CPS solutions.