Linear Programming and Network Flows, 4/e (Hardcover)

Bazaraa, Mokhtar S., Jarvis, John J., Sherali, Hanif D.

  • 出版商: Wiley
  • 出版日期: 2009-12-01
  • 售價: $3,600
  • 貴賓價: 9.8$3,528
  • 語言: 英文
  • 頁數: 748
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0470462728
  • ISBN-13: 9780470462720
  • 相關分類: R 語言
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商品描述

The authoritative guide to modeling and solving complex problems with linear programming--extensively revised, expanded, and updated

The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics.

The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include:

  • The cycling phenomenon in linear programming and the geometry of cycling

  • Duality relationships with cycling

  • Elaboration on stable factorizations and implementation strategies

  • Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods

  • Line search and dual ascent ideas for the out-of-kilter algorithm

  • Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems

The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study.

Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.

商品描述(中文翻譯)

《線性規劃與網路流的權威指南──廣泛修訂、擴充和更新的第四版》

這是唯一一本將線性規劃技術和網路流技術放在一起介紹的書籍,全新修訂的第四版已經完全更新了該主題的最新發展。這本新版繼續強調建模概念、算法的設計和分析,以及在工業工程、管理科學、運籌學、計算機科學和數學等各個領域中解決問題的實施策略。

本書首先介紹了線性代數和凸分析的基本結果,並提供了一個幾何動機的多面體集合結構研究。接下來的章節包括對單純法中的循環現象、內點法和敏感性和參數分析的介紹。第四版新增的主題包括:

- 線性規劃中的循環現象和循環的幾何結構
- 循環與對偶關係
- 穩定分解和實施策略的詳細說明
- 穩定的列生成和加速Benders和Dantzig-Wolfe分解方法
- 用於不平衡算法的線性搜索和對偶上升思想
- 堆實現註解、負成本迴路洞察和最短路徑問題的額外收斂分析

作者們提供了以數值例子為基礎的概念和技術,並附有詳細的數學分析和證明。強調提供幾何觀點和經濟解釋,並加強對基本思想的理解。每章附有「註解」和「參考文獻」部分,除了提供歷史發展,還包括當前和未來的趨勢。更新的習題讓讀者測試對所學材料的理解,廣泛的參考文獻則提供進一步研究的資源。

《線性規劃與網路流的權威指南──廣泛修訂、擴充和更新的第四版》是高年級本科生和研究生線性規劃和網路流課程的優秀教材。對於應用科學家來說,它也是一個寶貴的資源,可以幫助他們重新理解線性規劃和網路流技術。

作者簡介

Mokhtar S. Bazaraa, PhD, is Emeritus Professor at the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. He is the coauthor of Nonlinear Programming: Theory and Algorithms, Third Edition and Linear Programming and Network Flows, Third Edition, both published by Wiley.

John J. Jarvis, PhD, is Emeritus Professor at the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. A Fellow of the Institute of Industrial Engineers (IIE) and the Institute for Operations Research and the Management Sciences (INFORMS), Dr. Jarvis is the coauthor of Linear Programming and Network Flows, Third Edition (Wiley).

Hanif D. Sherali, PhD, is University Distinguished Professor and the W. Thomas Rice Chaired Professor of Engineering at the Virginia Polytechnic and State University. A Fellow of INFORMS and IIE, he is the coauthor of Nonlinear Programming: Theory and Algorithms, Third Edition and Linear Programming and Network Flows, Third Edition, both published by Wiley.

作者簡介(中文翻譯)

Mokhtar S. Bazaraa, PhD,是喬治亞理工學院H. Milton Stewart工業與系統工程學院的名譽教授。他是Wiley出版社出版的《非線性規劃:理論與算法,第三版》和《線性規劃和網絡流,第三版》的合著者。

John J. Jarvis, PhD,是喬治亞理工學院H. Milton Stewart工業與系統工程學院的名譽教授。他是工業工程師學會(IIE)和運籌學與管理科學學會(INFORMS)的會士,也是Wiley出版社出版的《線性規劃和網絡流,第三版》的合著者。

Hanif D. Sherali, PhD,是弗吉尼亞理工大學的杰出教授和W. Thomas Rice講座教授。他是INFORMS和IIE的會士,也是Wiley出版社出版的《非線性規劃:理論與算法,第三版》和《線性規劃和網絡流,第三版》的合著者。