Duality in Linear Programming-Chapter 15S.M. Sinha
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, ...
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...
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...
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...
8 Duality in conic optimization¶In Sec. 2 (Linear optimization) we introduced duality and related concepts for linear optimization. Here we present a more general version of this theory for conic optimization and we illustrate it with examples. Although this chapter is self-contained, we ...
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...
In our study the nonnegative orthants for the constraints are replaced by closed convex cones and their polars. We establish weak and strong duality theorems under (p, r) − ρ − (η, θ)-invexity assumptions for the symmetric dual problems. We also give many examples to justify our ...
It also hints at the fact that, because of this complementary slackness condition, many of the αi will turn out to be zero, and hence the optimal solution can be written as a sparse sum of the training examples. And, now that we have written w in terms of the αj, we can ...