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An artificial bee colony algorithm with feasibility enforcement and infeasibility toleration procedures for cardinality constrained portfolio optimization

机译:具有可行性强制和不可行容忍程序的人工蜂群算法,用于基数约束的投资组合优化

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摘要

One of the most studied variant of portfolio optimization problems is with cardinality constraints that transform classical mean-variance model from a convex quadratic programming problem into a mixed integer quadratic programming problem which brings the problem to the class of NP-Complete problems. Therefore, the computational complexity is significantly increased since cardinality constraints have a direct influence on the portfolio size. In order to overcome arising computational difficulties, for solving this problem, researchers have focused on investigating efficient solution algorithms such as metaheuristic algorithms since exact techniques may be inadequate to find an optimal solution in a reasonable time and are computationally ineffective when applied to large-scale problems. In this paper, our purpose is to present an efficient solution approach based on an artificial bee colony algorithm with feasibility enforcement and infeasibility toleration procedures for solving cardinality constrained portfolio optimization problem. Computational results confirm the effectiveness of the solution methodology. (C) 2017 Elsevier Ltd. All rights reserved.
机译:资产组合优化问题研究最广泛的变体之一是基数约束,该约束将经典均值方差模型从凸二次规划问题转换为混合整数二次规划问题,从而将该问题带到NP-完全问题类别。因此,由于基数约束直接影响投资组合的大小,因此计算复杂度显着增加。为了解决出现的计算难题,为解决此问题,研究人员集中于研究有效的解决方案算法,例如元启发式算法,因为精确的技术可能不足以在合理的时间内找到最佳解决方案,并且在大规模应用时计算效率低下问题。在本文中,我们的目的是提出一种基于人工蜂群算法的有效解决方案,该方法具有可行性强制和不可行性容忍程序,以解决基数受限的投资组合优化问题。计算结果证实了该解决方案方法的有效性。 (C)2017 Elsevier Ltd.保留所有权利。

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