STEINER TREE PROBLEMS IN COMPUTER COMMUNICATION NETWORKS
暫譯: 計算機通信網絡中的斯坦納樹問題

Xiaodong Hu, Ding-Zhu Du

  • 出版商: World Scientific Pub
  • 出版日期: 2008-02-01
  • 售價: $5,580
  • 貴賓價: 9.5$5,301
  • 語言: 英文
  • 頁數: 359
  • 裝訂: Hardcover
  • ISBN: 9812791442
  • ISBN-13: 9789812791443
  • 海外代購書籍(需單獨結帳)

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商品描述

The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601 1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice.

Contents: Minimax Approach and Steiner Ratio; k-Steiner Ratios and Better Approximation Algorithms; Geometric Partitions and Polynomial Time Approximation Schemes; Grade of Service Steiner Tree Problem; Steiner Tree Problem for Minimal Steiner Points; Bottleneck Steiner Tree Problem; Steiner k-Tree and k-Path Routing Problems; Steiner Tree Coloring Problem; Steiner Tree Scheduling Problem; Survivable Steiner Network Problem.

商品描述(中文翻譯)

斯坦納樹問題是最重要的組合優化問題之一。它的歷史可以追溯到著名數學家費馬(Fermat,1601-1665)。本書研究了1990年代在斯坦納樹問題上取得的三個重要突破,以及過去十五年中斯坦納樹問題在計算機通信網絡中的一些重要應用。它不僅涵蓋了斯坦納樹問題的一些最新發展,還討論了各種組合優化方法,從而在理論與實踐之間提供了一個平衡。

目錄:
- 最小最大化方法與斯坦納比率
- k-斯坦納比率與更好的近似算法
- 幾何劃分與多項式時間近似方案
- 服務等級斯坦納樹問題
- 最小斯坦納點的斯坦納樹問題
- 瓶頸斯坦納樹問題
- 斯坦納 k-樹與 k-路由問題
- 斯坦納樹著色問題
- 斯坦納樹排程問題
- 可存活的斯坦納網絡問題