A Comparison of the Dynamics of Continuous and Discrete Event Systems

Xi Ren Cao

doi:10.1109/5.21066

A Comparison of the Dynamics of Continuous and Discrete Event Systems

Xi Ren Cao^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

13 Citations (Scopus)

Abstract

Perturbation analysis of discrete event dynamic systems (DEDSs) is a new technique which provides estimates of the sensitivity of system performance based on one sample path of a system. This paper reviews the results of perturbation analysis pertaining to closed queueing networks, and shows 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 queueing network. The realization probability can be used to calculate the sensitivity of steady-state throughputs and some other sensitivities. Exploring the dynamic properties of DEDSs opens a new area for system analysts.

Original language	English
Pages (from-to)	7-13
Number of pages	7
Journal	Proceedings of the IEEE
Volume	77
Issue number	1
DOIs	https://doi.org/10.1109/5.21066
Publication status	Published - Jan 1989
Externally published	Yes

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abstract = "Perturbation analysis of discrete event dynamic systems (DEDSs) is a new technique which provides estimates of the sensitivity of system performance based on one sample path of a system. This paper reviews the results of perturbation analysis pertaining to closed queueing networks, and shows 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 queueing network. The realization probability can be used to calculate the sensitivity of steady-state throughputs and some other sensitivities. Exploring the dynamic properties of DEDSs opens a new area for system analysts.",

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AB - Perturbation analysis of discrete event dynamic systems (DEDSs) is a new technique which provides estimates of the sensitivity of system performance based on one sample path of a system. This paper reviews the results of perturbation analysis pertaining to closed queueing networks, and shows 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 queueing network. The realization probability can be used to calculate the sensitivity of steady-state throughputs and some other sensitivities. Exploring the dynamic properties of DEDSs opens a new area for system analysts.

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A Comparison of the Dynamics of Continuous and Discrete Event Systems

Abstract

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