An analytical model for automated packaging lines design

The problem of deriving a probabilistic mathematical model of an industrial production line is addressed in this paper. In particular, the analysis of a Tetra Pak liquid foodstuff packaging line has been developed as application of the modeling theory. Tetra Pak´s package forming machine works on the basis of a continuous process which cannot be interrupted without production wasting. Production buffer are used to decouple package forming machine with following (downstream) machines (e.g. straw applicator, film wrapper, etc.) to avoid forming machine forced stoppage because downstream machine stoppage. The paper presents a new analytical approach for the packaging forming machine restart control policy based on buffer level.