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A comparison of the dynamics of continuous and discrete event systems

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1 Author(s)
Xi-Ren Cao ; Digital Equipment Corp., Marlboro, MA, USA

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

Published in:

Proceedings of the IEEE  (Volume:77 ,  Issue: 1 )