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。
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。
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。
Since the development of the simplex algorithm, linear programming has been used to solve optimization problems in industries as diverse as banking, education, forestry, petroleum, and trucking.
由于simplex算法的出现，线性编程已经在工业界、银行界、教育界、林业、石油行业以及运输业界中广泛地用来解决优化问题。
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。
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。
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。
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。
Clegg et al. (1995) explain that in the electronics industry linear-programming models can be used to analyse the viability of the recovered parts in remanufacturing.
克莱格等人(1995)解释说，电子行业的线性规划模型可以用来分析在再制造过程中回收零部件的可行性。
A mathematics model which deals with 54 variables and 43 constraint conditions is proposed to optimize the product structure by using linear programming theory.
本文运用线性规划理论，建立了一个包括54个变量(产品)，43个约束条件产品结构优化数学模型。
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。
Linear programming is widely used throughout the world.
线性规划在全世界范围内被广泛应用。
Multiple optimal solutions to the linear programming problem by the simplex method for specific feasible regions sometimes might lead to a loss of efficiency.
用单纯形法求解线性规划问题的多最优解，对一类特殊的可行域，有时会导致失效。
A mixed integer linear programming (MILP) model for orders dispatching in a supply chain with multi-product, multi-order, and multi-period was proposed.
建立了面向供应链的多产品、多订单、多时段的订单任务分配的混合整数线性规划模型。
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。
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。
This paper discussed some qualities of a kind of the Fuzzy linear programming, and then gave the definition of the shadow price of the Fuzzy restriction.
本文讨论了一类模糊线性规划的几个性质，给出了模糊约束影子价格的定义。
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。
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。
A stochastic linear programming model with simple recourse was developed to study the asset and liability management of Banks under uncertainties based on the domestic economic environment.
使用带有简单补偿的随机线性规划模型，研究不确定下的银行资产负债管理问题。
Secondly, detenmine the optimum fuel arrangment on the basis of the Former stage results by employing a linear programming method or directly search method for successive every one of the multi cycle.
第二步，以前一步结果为条件，用线性规划或直接搜索法对多循环中相继的各个单循环进行燃料组件的优化布置；
This paper discusses how to found its optimal model through the analysis of model check countermeasure and proposes its solution based on linear and non-linear programming.
通过对模型校验策略的分析，讨论了如何建立这一问题的优化模型，并给出了基于线性规划和非线性规划的模型求解方法。
This paper presents a infeasible interior-point primal -dual affine scaling algorithm for linear programming. it is shown that the method is polynomial-time algorithm.
摘要本文对线性规划提出了一个不可行内点原始-对偶仿射尺度算法，并证明了算法是一个多项式时间算法。
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。
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。
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。
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