||PRODUCTION PROCESS RETENTION USING A FLOW ANALYSIS IN THE MANUFACTURING BUSINESS
International journal of innovative computing, information & control : IJICIC
1507 , 2017-10 , ICIC International
In manufacturing processes, the production process may be forced to stop when, for example, there are uncertain production plans, delays in logistics, cancelations of orders, etc. In this paper, we mathematically analyze the types of situations that occur before and after such stops in production. We introduce the concept of a shock wave to denote the effects these before and after occurrences have on the production process. More specically, we define the shock wave here by the propagation of production density flows in Burgers equation. We propose a propagation flow equation for a production density; here, the propagation of a shock wave is equal to the change in production density after production transitions from a stopped state back to a start state. In other words, the propagation of shock waves is a phenomenon of queuing time constraints due to retention.