We study the asymptotic behaviour of a class of self-attracting motions on R. We prove the decrease of the free energy related to the system and mix it together with stochastic approximation methods. We finally obtain the (limit-quotient) ergodicity of the self-attracting diffusion with a speed of convergence.

As competitive pressures increase within the health care sectors of economies worldwide, and especially within the United States, the importance of achieving operational efficiencies to reduce costs and thence to increase profits while keeping and attracting customers steadily increases. Simulation, optimization, time studies, value stream mapping, and process improvement methodologies have lon...