A two-tier approach to discrete-event dynamical systems

The study of discrete-event dynamical systems is among today's more difficult challenges in research. The state evolution of a discrete-event dynamical system depends on the occurrence of asynchronous discrete events over time. Traditionally, a queuing method is one of common techniques for the study of discrete-event dynamical systems. A two-tier approach is presented for the analysis and modelling of discrete-event dynamical systems in this dissertation as a result of our research in which the approach couples a background differential equation model for virtual variables with an external integer manifestation of the actual system. Asynchronous time intervals are an integral feature. A feedback controller is used in the background differential equation for a discrete-event dynamical system.; The two-tier approach is applied to modelling a flexible manufacturing system at a specified sequence of machining operations with mixed types of jobs. A comparison is given from the results of computer simulations with both two-tier approaches and queueing methods. The results indicate that the two-tier approach will be able to play an important role in the analysis and modelling of discrete-event dynamical systems. A method of decomposition is applied to the flexible manufacturing system in the computer simulations.