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商品描述
Description
Linear Programming and Network Flows, now in its third edition, addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequility constraints. This book:
- Provides methods for modeling complex problems via effective algorithms on modern computers.
- Presents the general theory and characteristics of optimization problems, along with effective solution algorithms.
- Explores linear programming (LP) and network flows, employing polynomial-time algorithms and various specializations of the simplex method.
Table of Contents
One: Introduction.
Two: Linear Algebra, Convex Analysis, and Polyhedral Sets.
Three: The Simplex Method.
Four: Starting Solution and Convergence.
Five: Special Simplex Implementations and Optimality Conditions.
Six: Duality and Sensitivity Analysis.
Seven: The Decomposition Principle.
Eight: Complexity of the Simplex Algorithms.
Nine: Minimal-Cost Network Flows.
Ten: The Transportation and Assignment Problems.
Eleven: The Out-of-Kilter Algorithm.
Twelve: Maximal Flow, Shortest Path, Multicommodity Flow, and Network Synthesis Problems.
Bibliography.
Index.
商品描述(中文翻譯)
描述
《線性規劃與網路流》，現在已進入第三版，針對在存在線性等式或不等式約束的情況下，最小化或最大化線性函數的問題進行探討。本書：
- 提供透過現代計算機上的有效算法來建模複雜問題的方法。
- 提出優化問題的一般理論和特徵，以及有效的解決算法。
- 探索線性規劃（LP）和網路流，採用多項式時間算法和各種單純形法的專門化。
目錄
一：介紹。
二：線性代數、凸分析與多面體集合。
三：單純形法。
四：起始解與收斂。
五：特殊單純形實現與最優條件。
六：對偶性與敏感度分析。
七：分解原則。
八：單純形算法的複雜性。
九：最小成本網路流。
十：運輸與指派問題。
十一：不平衡算法。
十二：最大流、最短路徑、多商品流與網路合成問題。
參考文獻。
索引。
