Linear programming is widely used throughout the world.
线性规划在全世界范围内被广泛应用。
Many tools are available to solve linear programming problems.
有很多工具都可以用来解决线性编程的问题。
Linear programming is a tool for solving optimization problems.
线性编程是一个用来解决优化问题的工具。
Semidefinite programming is an extension of linear programming.
半定规划是线性规划的一种推广。
Linear programming is one of the most important methods in optimization.
线性规划是一种重要的最优化方法。
Simplex algorithm is an effective method for solving linear programming problem.
单纯形法是求解线性规划问题的有效方法。
The facts show that linear programming theory can effectively solve such problems.
事实证明，线性规划理论能够有效地解决产品结构优化决策问题。
Linear Programming optimization model is setup, and a heuristic algorithm is given.
建立了线性规划优化模型，提出了一种启发式算法。
The optimization problem is solved with the sequential linear programming algorithm.
优化问题求解采用序列线性规划算法。
An optimal solution would require linear programming techniques with much less trivial code.
最佳解决方案需要线性编程技术，而且所需的代码更少。
The fixed charge transportation problem (FCTP) is a special linear programming problem.
固定费用运输问题是一种特殊的线性规划问题。
The core algorithm is the generation and selection based on integer linear programming (ILP).
该系统的核心算法是基于整数规划的“生成与选择”方法。
This is essentially a linear programming problem. This case is more special than the general problem, since
这实际上是一个线性编程问题。
Secondly, we consider the degenerate linear programming problem with upper bounded variable constrained.
第二，我们研究了变量有上界的退化线性规划问题。
In 1947, George Dantzig developed an efficient method, the simplex algorithm, for solving linear programming problems.
在1947年，George Dantzig开发了一种效率方法——simplex算法——来解决线性编程的问题。
A multiobjective linear programming problem in which all coefficients are fuzzy Numbers is considered in this paper.
讨论了一类所有系数均为模糊数的多目标线性规划问题。
The optional solution of fuzzy multiple objective linear programming is not unique due to uncertain goals and parameters.
由于目标和参数的不确定性，模糊多目标线性规划的最优解不是唯一的。
Enforce strict user navigation rules with a natural, object-oriented linear programming model and without coding verbose if/else blocks.
使用自然和面向对象的线性编程模型，而不是冗长的的if/else块来定义严格的用户导航规则。
In this paper the meaning and role of shadow prices on the Dual linear programming in the readjustment of Feed formula are discussed.
本文探讨了对偶规划中的影子价格和灵敏度分析在饲料配方调整中的意义和作用。
The GNU linear Programming Kit (GLPK) is a library of routines that use well-known operations research algorithms to solve linear problems.
GNULinear ProgrammingKit (GLPK)是一个使用了众所周知的运筹学算法来解决线性问题的程序库。
The master production scheduling(MPS) problem of hot rolling seamless steel tube is formulated as a mixed integer linear programming model.
建立了热轧无缝钢管主生产计划问题的混合整数线性规划模型。
As an extension of bilevel linear programming, bilevel linear multi-follower programming has some properties of bilevel linear programming.
多下层双层线性规划作为双层线性规划的一种延伸，具有双层线性规划的一些性质。
Linear programming approach combines with technique in tree of decomposition to realize fault location of large linear dynamic circuits quickly.
将线性规划方法与电路的树分解技术结合，实现大型线性动态电路中故障的迅速定位。
After demonstrating the feasibility of using the dual algorithm for general linear programming to solve this model, we get an effective algorithm.
通过论证用一般线性规划的对偶算法求解本模型的可行性，使得该模型的求解问题迎刃而解。
This paper discusses the necessity and feasibility of applying linear programming models in the development and utilization of rural energy sources.
本文分析了线性规划模型在农村能源开发利用中运用的必要性和可行性。
Then using the thought of the surrogate dual of DC programming, the surrogate dual of bilevel linear programming and the duality properties are given.
利用DC规划共轭对偶的思想，讨论解型线性双层规划的共轭对偶规划及其对偶性质。
Then using the thought of the surrogate dual of DC programming, the surrogate dual of bilevel linear programming and the duality properties are given.
利用DC规划共轭对偶的思想，讨论解型线性双层规划的共轭对偶规划及其对偶性质。
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