Analytic Perturbation Analysis Of Discrete Event Dynamic Systems
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Analytic Perturbation Analysis of Discrete Event Dynamic Systems
This paper considers a new Analytic Perturbation Analysis (APA) approach for Discrete Event Dynamic Systems (DEDS) with discontinuous sample-path functions with respect to control parameters. The performance functions for DEDS usually are formulated as mathematical expectations, which can be calculated only numerically. APA is based on new analytic formulas for the gradients of expectations of indicator functions; therefore, it is called an analytic perturbation analysis. The gradient of performance function may not coincide with the expectation of a gradient of sample-path function (i.e., the interchange formula for the gradient and expectation sign may not be valid). Estimates of gradients can be obtained with one simulation run of the models.
Perturbation Analysis of Discrete Event Dynamic Systems
The engineer-authors present a time domain based sample path analytical approach which combines control system theory, operations research, and statistical simulation methodology. Applicable to manufacturing systems, communications networks, military command control systems, and other complex man-made organizations. Complements existing research queueing theory textbooks. Annotation copyrighted by Book News, Inc., Portland, OR
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