Advertisement

Optimization of Stochastic Models

The Interface Between Simulation and Optimization

  • Authors
  • George Ch. Pflug

Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 373)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. George Ch. Pflug
    Pages 1-54
  3. George Ch. Pflug
    Pages 55-141
  4. George Ch. Pflug
    Pages 143-209
  5. Georg Ch. Pflug
    Pages 211-279
  6. George C. Pflug
    Pages 281-322
  7. Back Matter
    Pages 323-382

About this book

Introduction

Stochastic models are everywhere. In manufacturing, queuing models are used for modeling production processes, realistic inventory models are stochastic in nature. Stochastic models are considered in transportation and communication. Marketing models use stochastic descriptions of the demands and buyer's behaviors. In finance, market prices and exchange rates are assumed to be certain stochastic processes, and insurance claims appear at random times with random amounts.
To each decision problem, a cost function is associated. Costs may be direct or indirect, like loss of time, quality deterioration, loss in production or dissatisfaction of customers. In decision making under uncertainty, the goal is to minimize the expected costs. However, in practically all realistic models, the calculation of the expected costs is impossible due to the model complexity. Simulation is the only practicable way of getting insight into such models. Thus, the problem of optimal decisions can be seen as getting simulation and optimization effectively combined.
The field is quite new and yet the number of publications is enormous. This book does not even try to touch all work done in this area. Instead, many concepts are presented and treated with mathematical rigor and necessary conditions for the correctness of various approaches are stated.
Optimization of Stochastic Models: The Interface Between Simulation and Optimization is suitable as a text for a graduate level course on Stochastic Models or as a secondary text for a graduate level course in Operations Research.

Keywords

Probability space Random variable Simulation Stochastic Approximation Stochastic Processes Stochastic model Stochastic models modeling operations research optimization

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-1449-3
  • Copyright Information Springer-Verlag US 1996
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8631-8
  • Online ISBN 978-1-4613-1449-3
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site