Linear programming models possess the interesting property of forming pairs of symmetrical problems. To any maximization problem corresponds a minimization problem involving the same data, and there is a close correspondence between their optimal solutions. The two problems are said to be "duals" of ...
本文将从离散空间上的KP开始讨论,此时KP是一个标准线性规划(linear programming)问题(而这正是线性规划的起源),可以通过求解其对偶问题(dual problem)解决。接下来会类比到一般情况(连续空间)的“对偶问题”,并用一些凸分析技巧表示出最低耗费。 (本文翻译自我自己的笔记,可能有数学/术语错误或笔误,敬请读者指正。)...
Duality in generalized linear fractional programming-{r(x)Ix~K}:对偶的广义线性分式规划- { R(X)九~ K } 热度: 线性规划的对偶问题 热度: 第二章 线性规划的对偶理论(1-5) 热度: 相关推荐 Analyzing Nonblocking Switching Networks using Linear Programming (Duality) Hung Q. Ngo, Atri Rudra, ...
In the present paper, we show that even if we are unsuccessful in this, we can at least say something interesting by using the principle of the separating hyperplane, a basic ingredient in linear programming duality.doi:10.48550/arXiv.0707.4436Croot, Ernie...
This article deals with a class of nonsmooth multiobjective geodesic pseudolinear programming problems (in short, (NMGPP)) in terms of bifunctions in the framework of Hadamard manifolds. Employing Slater-type constraint qualification, we establish the necessary criteria of Pareto efficiency for (NMGPP...
Recently, linear programming (LP) duality was brought up in a Discord server, and it made me think again about how, whenever it is introduced, it's most often very poorly motivated. Some examples that I've seen include: Directly deriving it from general Lagrange duality (which I did mysel...
Recently, linear programming (LP) duality was brought up in a Discord server, and it made me think again about how, whenever it is introduced, it's most oftenverypoorly motivated. Some examples that I've seen include: Directly deriving it from general Lagrange duality (which I did myself ...
Kornbluth, J.S.H.: Duality, indifference and sensitivity analysis in multiple objective linear programming. Oper. Res. Q. 25 , 599–614 (1974)Kornbluth, J. S. H. (1974) Duality, Indifference, and Sensitivity Analysis in Multiple-Objective Linear Programming. Operational Research Quarterly 25: ...
In this paper we consider the duality gap functiongthat measures the difference between the optimal values of the primal problem and of the dual problem in linear programming and in linear semi-infinite programming. We analyze its behavior when the data defining these problems may be perturbed, ...
Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs Fuzzy Sets and Systems Volume 146, Issue 2, 1 September 2004, Pages 253-269 Purchase options CorporateFor R&D professionals working in corporate organizations. Academic and personalFor academic or personal use on...