CONTROLLING CHAOS IN A HOGG-HUBERMAN MODEL OF A MANUFACTURING SYSTEM

Hogg and Huberman have proposed a strategy for stabilizing chaotic mul ti-agent systems. This paper applies their strategy to a resource allo cation problem in a manufacturing system consisting of two machines an d two types of parts. These part-types conflict each other over resour ce allocation. We introduce a discrete-time model of the system by usi ng game theory, and examine stability and bifurcation phenomena of its fixed point. We show by computer simulation that chaotic behaviors ar e observed after successive occurrence of period-doubling bifurcations . It is also shown that the optimal state of the system is stabilized by a reward mechanism.