Optimization of stochastic models : the interface between simulation and optimization
著者
書誌事項
Optimization of stochastic models : the interface between simulation and optimization
(The Kluwer international series in engineering and computer science, SECS 373. Discrete event dynamic systems)
Kluwer Academic, 1996
大学図書館所蔵 全36件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes index
内容説明・目次
内容説明
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.
目次
1. Optimization. 2. Discrete-Event Processes. 3. Derivatives. 4. Simulation and Sensitivity Estimation. 5. Stochastic Approximation. A: Metric Spaces. B: Sequences and Series. C: Matrix Algebra. D: Derivatives. E: Convexity and Convex Projections. F: Set-Wise Convergence.G: Duality and Lagrangians. H: Probability Spaces and Random Variables. I: Convergence of Random Variables. J: The Wasserstein Distance. K: Conditional Expectations. L: Martingales. M: Choquet Theory. N: Coupling. Index.
「Nielsen BookData」 より