@article{oai:nuis.repo.nii.ac.jp:00000080, author = {Shirai, Kenji and Amano, Yoshinori and 白井, 健二 and 天野, 佳則}, issue = {6}, journal = {International Journal of Innovative Computing, Information & Control : IJICIC}, month = {Dec}, note = {Why does stochastic resonance occur in production system? There is the motivation of this paper. The noises regard as the probability element that the worker affects the process progress, or the supply chain has an impact in the process. The probability element represents a working ability to have a probability distribution. The stochastic resonance represents the relationship between the volatility of the working ability as the noise intensity and the throughput. We construct a mathematical model utilizing a Langevin-type equation for propagation of throughput under a stochastic resonance. We also deeply analyze the fluctuation of production processes. The model includes the supply chain to be produced in collaboration with external companies. A flow-shop-type production method, which generally constitutes a line, is utilized in this paper. The mathematical model ultimately becomes a diffusion-type equation. Moreover, with respect to fluctuation, we report that a diffusion coefficient results in a synchronous status. The validation of evaluation based on the data throughput of the production process is presented. The synchronous process is shown to be a much better method. For further verification, we confirm the benefit of using the synchronous process for performing dynamic simulations.}, pages = {1761--1776}, title = {MATHEMATICAL MODELING AND POTENTIAL FUNCTION OF A PRODUCTION SYSTEM CONSIDERING THE STOCHASTIC RESONANCE}, volume = {12}, year = {2016}, yomi = {シライ, ケンジ and アマノ, ヨシノリ} }