Open Access

ARTICLE

Hybrid Imperialist Competitive Evolutionary Algorithm for Solving Biobjective Portfolio Problem

by Chun’an Liu^1,*, Qian Lei², Huamin Jia³

1 Department of Mathematics, Baoji University of Arts and Sciences, Baoji, 721013, China
2 Center for Big Data Research in Languages/School of English Studies, Xi’an International Studies University, Xi’an, 710071, China
3 School of Aerospace, Transport and Manufacturing, Cranfield University, Cranfield, MK43 0AL, UK

* Corresponding Author: Chun’an Liu. Email:

Intelligent Automation & Soft Computing 2020, 26(6), 1477-1492. https://doi.org/10.32604/iasc.2020.011853

Received 01 June 2020; Accepted 22 July 2020; Issue published 24 December 2020

Abstract

Portfolio optimization is an effective way to diversify investment risk and optimize asset management. Many multiobjective optimization mathematical models and metaheuristic intelligent algorithms have been proposed to solve portfolio problem under an ideal condition. This paper presents a biobjective portfolio optimization model under the assumption of no short selling. In order to obtain sufficient number of portfolio optimal solutions uniformly distributed on the portfolio efficient Pareto front, a hybrid imperialist competitive evolutionary algorithm which combines a multi-colony levy crossover operator and a simple-colony moving operator with random perturbation is also given. The performance of the given algorithm is verified by four criterion portfolio test problems, and the simulation results and comparison analyses illustrate that the proposed algorithm could obtain faster convergence toward the portfolio true Pareto front compared with the other two state of the art multiobjective optimization methods. The results can provide optimal portfolio plans and investment strategies for investors to allocate and manage assets effectively.

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Citations