A new study on a class of discrete event dynamic systems

A method of discrete field (Euler) description is proposed to analyze a discrete-event dynamic system. A steady-state probability distribution of the system cam be obtained. Modification of the model leads to the Lagrange description of system models, by which a closed-form solution for sojourn time can be derived. These computable models show their potential in application to the online control and optimization of discrete-event systems. It should be noted that the number of equations of the mathematical model is [2×N₁-1]+N₂, where N ₁ is the number of operations and N₂ is the number of buffer units. The number of equations increases approximately in linear proportion to the number of space units, which shows the computability of the models presented