First, the concepts of fuzzy valuation convex (or concave) function and fuzzy convex-geometric-programming problem are based on a fuzzy valuation set in this paper. Secondly, fuzzy posynomial geometric programming and...
详细信息
First, the concepts of fuzzy valuation convex (or concave) function and fuzzy convex-geometric-programming problem are based on a fuzzy valuation set in this paper. Secondly, fuzzy posynomial geometric programming and its dual-form properties concerned are discussed by means of a fuzzy geometric inequality and of a fuzzy dual theory. Lastly, direct and dual algorithms of fuzzy posynomial geometric programming are respectively deduced by the aid of a fuzzy fixed-point theorem and the notion of α, β-cut.
Several recent polynomial algorithms for the minimum cost circulation problem have the following in common: The solution, primal or dual, is changed in a way that the mean improvement of the objective function with re...
详细信息
Several recent polynomial algorithms for the minimum cost circulation problem have the following in common: The solution, primal or dual, is changed in a way that the mean improvement of the objective function with respect to some measure is maximized. This note contains some new insight on such algorithms. In addition, it is shown that a dual algorithm which selects node-wise maximum mean cuts, is not polynomially bounded.
The affine-scaling modification of Karmarkar's algorithm is extended to solve problems with free variables. This extended primal algorithm is used to prove two important results. First the geometrically elegant fe...
详细信息
The affine-scaling modification of Karmarkar's algorithm is extended to solve problems with free variables. This extended primal algorithm is used to prove two important results. First the geometrically elegant feasibility algorithm proposed by Chandru and Kochar is the same algorithm as the one obtained by appending a single column of residuals to the constraint matrix. Second the dual algorithm as first described by Adler et al., is the same as the extended primal algorithm applied to the dual.
We propose an algorithm to estimate the unknown constants in a multiple linear regression model under the minimum sum of weighted absolute errors (MSWAE). The proposed algorithm, a generalization of an earlier algorit...
详细信息
The iterative methods by Ben-Israel and others for computing the Moore-Penrose inverse of a matrix are examined. Ill conditioned test matrices are inverted by the methods and some difficulties are found out. The itera...
详细信息
The iterative methods by Ben-Israel and others for computing the Moore-Penrose inverse of a matrix are examined. Ill conditioned test matrices are inverted by the methods and some difficulties are found out. The iterative methods do not seem superior to direct ones.
暂无评论