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 ...
Recently, linear programming problems with symmetric fuzzy numbers (LPSFN) have considered by some authors and have proposed a new method for solving these problems without converting to the classical linear programming problem, where the cost coefficients are symmetric fuzzy numbers (see in [4]). ...
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...
A dual for linear programming problems of a two person zero sum constrained matrix game with fuzzy payoffs is introduced and it is proved that such a game is equivalent to a primal-dual pair of certain fuzzy linear programming problems. Itpsilas solution is the focus of discussion in the fut...
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...
In Sec. 6 (Semidefinite optimization) we formulated many problems as LMIs, that is in the form more naturally matching the dual. From a modeling perspective it does not matter whether constraints are given as linear matrix inequalities or as an intersection of affine hyperplanes; one formulation ...
If either of two dual linear-programming problems has a solution, then so does the other. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. Want to thank TFD for its existence?Tell a friend about us, add a link to this pa...
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...