A comparison of the dynamics of continuous and discrete event systems

The results of perturbation analysis pertaining to closed queuing networks are reviewed, showing that the basic principles of perturbation analysis can be explained using a dynamic point of view. It is shown that perturbation generation and perturbation propagation rules can be viewed as counterparts of the linearization theory of nonlinear continuous variable dynamic systems; the concept of perturbation realization describes the steady-state effect of a perturbation and reflects the special dynamic feature of a closed queuing network. The realization probability can be used to calculate the sensitivity of steady-state throughputs and some other sensitivities.>