AUTOCORRELATION FUNCTION AND THE POWER SPECTRUM CALCULATION FOR PRODUCTION PROCESSES

Our motivation is to clarify the reason why the stochastic resonance occurs in production system. 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 stochastic resonance represents the relationship between the volatility of the working ability as the noise intensity and the throughput. This study is part of an ongoing report on stochastic resonance; it describes the auto-correlation function based on the self-similarity of the production process. When the probability intensity coefficient in the explicit solution of the autocorrelation function is small, the influence of the phase difference is small. By contrast, when the probability intensity coefficient is large, the influence is great and the form of the phase difference is temporally shifted in the right direction of the border. The stochastic resonance is observed. In addition, we have calculated the explicit equation of the power spectrum. As a result, the correlation function spectrum of the process phase difference is known to have a Lorentz-type spectrum. We are calculating the autocorrelation function of the final processes in consideration of the previous processes because the previous processes substantially affect throughput. The autocorrelation function is extremely important in evaluating the production flow process