Article ID: | iaor19931902 |
Country: | Netherlands |
Volume: | 55 |
Issue: | 2 |
Start Page Number: | 279 |
End Page Number: | 290 |
Publication Date: | Nov 1991 |
Journal: | European Journal of Operational Research |
Authors: | Saedt Anton P.H., Homan Waldemar J., Reinders M. Peter |
Keywords: | markov processes |
Several processes in physics and chemistry are one-dimensional cutting processes. Grinding of fibers in a grinding mill as well as depolymerisation of polymers in an enzymatic solution are examples of these processes. One-dimensional chains of connected identical ‘atomic particles’ are cut into smaller chains until only the, indivisible, atomic particles remain: the indivisible smallest fiber particles in the grinder and the monomers in the enzymatic solution. A mathematical model has been developed for controlling and optimizing these processes. It is characterized as a finite state Markov process with continuous time parameter. From a given distribution of the length of the chains