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Atmosphere 发表于 2025-3-21 21:01:04

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International Series in Operations Research & Management Sciencehttp://image.papertrans.cn/l/image/586386.jpg

不透明性 发表于 2025-3-22 07:11:06

IntroductionThis book is mostly about a subject called Linear Programming. Before defining what we mean, in general, by a linear programming problem, let us describe a few practical real-world problems that serve to motivate and at least vaguely to define this subject.

协议 发表于 2025-3-22 09:59:13

The Simplex MethodIn this chapter we present the simplex method as it applies to linear programming problems in standard form.

Spinal-Tap 发表于 2025-3-22 15:33:36

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新字 发表于 2025-3-22 18:50:18

Efficiency of the Simplex MethodIn the previous chapter, we saw that the simplex method (with appropriate pivoting rules to guarantee no cycling) will solve any linear programming problem for which an optimal solution exists. In this chapter, we investigate just how fast it will solve a problem of a given size.

Offensive 发表于 2025-3-23 01:07:41

The Simplex Method in Matrix NotationSo far, we have avoided using matrix notation to present linear programming problems and the simplex method. In this chapter, we shall recast everything into matrix notation. At the same time, we will emphasize the close relations between the primal and the dual problems.

事情 发表于 2025-3-23 05:00:51

Implementation IssuesIn the previous chapter, we rewrote the simplex method using matrix notation. This is the first step toward our aim of describing the simplex method as one would implement it as a computer program. In this chapter, we shall continue in this direction by addressing some important implementation issues.

Amendment 发表于 2025-3-23 06:12:33

Problems in General FormUp until now, we have always considered our problems to be given in standard form. However, for real-world problems it is often convenient to formulate problems in the following form
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查看完整版本: Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book 20083rd edition Springer-Verlag US 2008 Simplex method.algorithms.ants.du