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20172021
most citedOn Some Incremental Algorithms for the Minimum Sum-of-Squares Clustering Problem. Part 1: Ordin and Bagirov's Incremental Algorithm

1 citations · 1 across the 6 of their papers we have counts for

collaborators

10 papers

math.OC2021

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…

math.OC2020

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…

math.OC20191 cited

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…

math.OC2019

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.…

math.OC2019

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.…

math.OC2018

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…