1 citations · 2 across the 8 of their papers we have counts for
11 papers
Stability Analysis of Generalized Multi-Source Weber Problems
N. H. Hai, V. S. T. Long, N. M. Nam +1
This paper presents a stability analysis of the generalized multi-source Weber problems under the influence of data perturbation within the framework of the Minkowski function. Fir…
On the Solution Existence for Prox-Regular Perturbed Sweeping Processes
Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen
In the setting adopted by Edmond and Thibault [Mathematical Programming 104 (2005), 347--373], we study a class of perturbed sweeping processes. Under suitable assumptions, we obta…
Improperly Efficient Solutions in a Class of Vector Optimization Problems
N. T. T. Huong, N. D. Yen
Improperly efficient solutions in the sense of Geoffrion in linear fractional vector optimization problems with unbounded constraint sets are studied in this paper. We give two set…
On Some Incremental Algorithms for the Minimum Sum-of-Squares Clustering Problem. Part 1: Ordin and Bagirov's Incremental Algorithm
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
Solution methods for the minimum sum-of-squares clustering (MSSC) problem are analyzed and developed in this paper. Based on the DCA (Difference-of-Convex functions Algorithms) in…
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
In the present paper, the maximum principle for finite horizon state constrained problems from the book by R. Vinter [\textit{Optimal Control}, Birkhäuser, Boston, 2000; Theorem~9.…
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 1: Problems with Unilateral State Constraints
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
In the present paper, the maximum principle for finite horizon state constrained problems from the book by R. Vinter [\textit{Optimal Control}, Birkhäuser, Boston, 2000; Theorem~9.…
Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
A series of basic qualitative properties of the minimum sum-of-squares clustering problem are established in this paper. Among other things, we clarify the solution existence, prop…
Convergence of a Solution Algorithm in Indefinite Quadratic Programming
Tran Hung Cuong, Yongdo Lim, Nguyen Dong Yen
It is proved that, for an indefinite quadratic programming problem under linear constraints, any iterative sequence generated by the Proximal DC decomposition algorithm -linearl…
Differentiability Properties of a Parametric Consumer Problem
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
We study the budget map and the indirect utility function of a parametric consumer problem in a Banach space setting by some advanced tools from set-valued and variational analysis…
Differential stability of a class of convex optimal control problems
Duong Thi Viet An, Jen-Chih Yao, Nguyen Dong Yen
A parametric constrained convex optimal control problem, where the initial state is perturbed and the linear state equation contains a noise, is considered in this paper. Formulas…
On Some Generalized Polyhedral Convex Constructions
Nguyen Ngoc Luan, Jen-Chih Yao, Nguyen Dong Yen
Generalized polyhedral convex sets, generalized polyhedral convex functions on locally convex Hausdorff topological vector spaces, and the related constructions such as sum of sets…