PROPAGATING THE FLUID MODEL OF PRODUCTION PROCESSES WITH TIME DELAY

Process delay may largely reduce the production revenues of a business, particularly in small and medium-sized enterprises. In our previous report, the production process was treated as a propagating fluid, and its delay was assumed as a lead time delay. As a new our perspective, the downstream process is delayed by restraining the propagation of the upstream process . Moreover, we present that the propagation model with delay is equivalent to an Ornstein-Uhlenbeck (OU) process in mathematical finance.To obtain the parameters of the delay time and process stages, the stationary transition distribution is solved by analyzing the Fokker-Plank equation in numerical simulations.The types of production flow systems corresponding to different transition distributions are also analyzed