Linear Programming and Network Flows, 4/e (Hardcover)
暫譯: 線性規劃與網路流動，第4版 (精裝本)

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

Linear Programming and Network Flows, 4/e (Hardcover)
  • 出版商: Wiley
  • 出版日期: 2009-12-01
  • 售價: $4,500
  • 貴賓價: 9.8 折 $4,410
  • 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

    • 立即出貨(限量) (庫存=1)

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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)

權威指南：使用線性規劃建模和解決複雜問題——全面修訂、擴展和更新

這是唯一一本將線性規劃技術和網路流量整合於一本書中的書籍，線性規劃與網路流量（第四版）已完全更新，涵蓋該主題的最新發展。本新版本繼續成功強調建模概念、算法的設計與分析，以及在工業工程、管理科學、運籌學、計算機科學和數學等多個領域中問題的實施策略。

本書從線性代數和凸分析的基本結果開始，並提供了對多面體集合結構的幾何動機研究。隨後的章節涵蓋了單純形法中的循環現象、內點法以及敏感性和參數分析。在第四版中新增的主題包括：



  • 線性規劃中的循環現象及其幾何特徵




  • 與循環相關的對偶關係




  • 穩定因式分解和實施策略的詳細說明




  • 穩定化的列生成和Benders及Dantzig-Wolfe分解方法的加速




  • 針對不平衡算法的線搜尋和對偶上升思路




  • 堆積實現註解、負成本電路見解及最短路徑問題的附加收斂分析



作者提出的概念和技術通過數值範例進行說明，並附有詳細的數學分析和論證。重點在於提供幾何觀點和經濟解釋，同時加強對基本概念的理解。每章都附有註解和參考文獻部分，提供歷史發展以及當前和未來的趨勢。更新的練習題讓讀者能夠測試對所呈現材料的理解，廣泛的參考文獻則提供進一步學習的資源。

線性規劃與網路流量（第四版）是高年級本科生和研究生線性規劃及網路流量課程的優秀教材。對於希望刷新對線性規劃和網路流量技術理解的應用科學家來說，這也是一個寶貴的資源。

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《非線性規劃：理論與演算法（第三版）》及《線性規劃與網路流（第三版）》的共同作者，這兩本書均由 Wiley 出版。

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）及運籌學與管理科學學會（INFORMS）的院士，Jarvis 博士是《線性規劃與網路流（第三版）》的共同作者（Wiley）。

Hanif D. Sherali, PhD 是維吉尼亞理工大學的傑出教授及 W. Thomas Rice 工程學講座教授。他是 INFORMS 和 IIE 的院士，也是《非線性規劃：理論與演算法（第三版）》及《線性規劃與網路流（第三版）》的共同作者，這兩本書均由 Wiley 出版。

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