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An Efficient Random Algorithm for Box Constrained Weighted Maximin Dispersion Problem

An Efficient Random Algorithm for Box Constrained Weighted Maximin Dispersion Problem
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摘要 The box-constrained weighted maximin dispersion problem is to find a point in an n-dimensional box such that the minimum of the weighted Euclidean distance from given m points is maximized. In this paper, we first reformulate the maximin dispersion problem as a non-convex quadratically constrained quadratic programming (QCQP) problem. We adopt the successive convex approximation (SCA) algorithm to solve the problem. Numerical results show that the proposed algorithm is efficient. The box-constrained weighted maximin dispersion problem is to find a point in an n-dimensional box such that the minimum of the weighted Euclidean distance from given m points is maximized. In this paper, we first reformulate the maximin dispersion problem as a non-convex quadratically constrained quadratic programming (QCQP) problem. We adopt the successive convex approximation (SCA) algorithm to solve the problem. Numerical results show that the proposed algorithm is efficient.
作者 Jinjin Huang
出处 《Advances in Pure Mathematics》 2019年第4期330-336,共7页 理论数学进展(英文)
关键词 MAXIMIN DISPERSION PROBLEM Successive CONVEX Approximation ALGORITHM Quadratically CONSTRAINED Quadratic Programming (QCQP) Maximin Dispersion Problem Successive Convex Approximation Algorithm Quadratically Constrained Quadratic Programming (QCQP)
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