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Perturbation Analysis of Discrete Event Dynamic Systems

  • Book
  • © 1991

Overview

Authors:
  1. Yu-Chi Ho

    1. Harvard University, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Xi-Ren Cao

    1. Digital Equipment Corporation, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 145)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Introduction to Discrete Event Dynamic Systems

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 1-13

  3. Introduction to Perturbation Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 15-27

  4. Informal Treatment of Infinitesimal Perturbation Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 29-56

  5. Foundations of Perturbation Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 57-136

  6. Extensions of Infinitesimal Perturbation Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 137-183

  7. Finite Perturbation Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 185-227

  8. Generalized Sensitivity Analysis

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 229-276

  9. Aggregation, Decomposition, and Equivalence

    • Yu-Chi Ho, Xi-Ren Cao
    Pages 277-310

  10. Back Matter

    Pages 311-433
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Keywords

About this book

Dynamic Systems (DEDS) are almost endless: military C31 Ilogistic systems, the emergency ward of a metropolitan hospital, back offices of large insurance and brokerage fums, service and spare part operations of multinational fums . . . . the point is the pervasive nature of such systems in the daily life of human beings. Yet DEDS is a relatively new phenomenon in dynamic systems studies. From the days of Galileo to Newton to quantum mechanics and cosmology of the present, dynamic systems in nature are primarily differential equations based and time driven. A large literature and endless success stories have been built up on such Continuous Variable Dynamic Systems (CVDS). It is, however, equally clear that DEDS are fundamentally different from CVDS. They are event driven, asynchronous, mostly man-made and only became significant during the past generation. Increasingly, however, it can be argued that in the modem world our lives are being impacted by and dependent upon the efficient operations of such DEDS. Yet compared to the successful paradigm of differential equations for CVDS the mathematical modelling of DEDS is in its infancy. Nor are there as many successful and established techniques for their analysis and synthesis. The purpose of this series is to promote the study and understanding of the modelling, analysis, control, and management of DEDS. The idea of the series came from editing a special issue of the Proceedings of IEEE on DEOS during 1988.

Reviews

' The book is strongly recommended for graduate students who have had courses in linear algebra, multivariate calculus and a first course in probability theory and stochastic process; as also for practitioners of operations research, engineering and applied mathematicians. ' Indian Journal of Technology October 1992

Authors and Affiliations

  • Harvard University, USA

    Yu-Chi Ho

  • Digital Equipment Corporation, USA

    Xi-Ren Cao

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