Duality in Linear Programming-Chapter 15S.M. Sinha
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...
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, ...
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...
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 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...
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。)...
We introduce the concept of duality gap to interval linear programming. We give characterizations of strongly and weakly zero duality gap in interval linear programming and its special case where the matrix of coefficients is real. We show computational complexity of testing weakly- and strongly zero...
The obvious question is now whether d⋆=p⋆, that is if optimality of a primal solution can always be certified by a dual solution with matching objective value, as for linear programming. This turns out not to be the case for general conic problems. Example 8.6 Positive duality gap Con...
linear programming duality Abstract In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so that the induced subgraphs on a specified set of v≤ n vertices each contain at...