Analysis of random walks

書誌事項

Analysis of random walks

by J.W. Cohen

(Studies in probability, optimization, and statistics, v. 2)

IOS Press, 1992

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注記

Includes bibliographical references (p. 375-377) and indexes

内容説明・目次

内容説明

In 1983 O.J. Boxma and the author have published a research monograph on Boundary Value Problems in Queueing System Analysis. The continuation of that research is described in the present monograph. The technique developed in the 1983-monograph has appeared to be quite powerful in the construction of explicit expressions for the generating functions and/or Laplace-Stieltjes transforms of characteristic distributions needed in the performance evaluation of stoachistic models stemming from computer system and telecommunication engineering. The book covers the following topics: One- Dimensional Random Walks; Two-Dimensional Random Walks; the Two-Dimensional Workload Process; and the N-Dimensional Random Walk.

目次

  • Part 1 One-dimensional random walks: the left continuous random walk on N0
  • the workload process
  • fluctuation theory. Part 2 Two-dimensional random walks: the general model
  • decomposition of the hitting point identity
  • stationary reflection process. Part 3 The two-dimensional workload process: the general model
  • decomposition of the hitting point identity
  • stationary reflecting process. Part 4 The N-dimensional random walk: the general model
  • stationary reflecting process.

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詳細情報

  • NII書誌ID(NCID)
    BA18870367
  • ISBN
    • 9051990863
  • LCCN
    92002811
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Amsterdam ; Tokyo
  • ページ数/冊数
    vii, 382 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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