A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm

This study analyzes the portfolio optimization model, by considering the financial management and investment science in order to evaluate risks and return in regard with restrictions such as buyers’ assets for purchasing per share. Accordingly, a novel model is designed as linear programming in orde...

Full description

Saved in:
Bibliographic Details
Main Authors: Mohammad Moshrefi, Javad Behnamian
Format: Article
Language:fas
Published: University of Qom 2022-03-01
Series:مدیریت مهندسی و رایانش نرم
Subjects:
Online Access:https://jemsc.qom.ac.ir/article_1294_39b51e4bd6ddf05eadcbb9b98027bd40.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832577578589749248
author Mohammad Moshrefi
Javad Behnamian
author_facet Mohammad Moshrefi
Javad Behnamian
author_sort Mohammad Moshrefi
collection DOAJ
description This study analyzes the portfolio optimization model, by considering the financial management and investment science in order to evaluate risks and return in regard with restrictions such as buyers’ assets for purchasing per share. Accordingly, a novel model is designed as linear programming in order to optimize the investment portfolio, considering the expected rate of return, the minimum risk, and the buyer’s assets. After the introduction of the model as linear programming and expressing the related limitations, different types of investments which an investor can consider in order to form an investment portfolio were studied. Finally, an approach is proposed to solve the model by using the genetic algorithm, and is implemented and analyzed in regard with a real example. According to the results of this study, the new model reduced downside risk in comparison with previously proposed models, in a manner that its stair descent continues as the number of shares under study increases.
format Article
id doaj-art-4038cb14df88454ead7c455b65528a66
institution Kabale University
issn 2538-6239
2538-2675
language fas
publishDate 2022-03-01
publisher University of Qom
record_format Article
series مدیریت مهندسی و رایانش نرم
spelling doaj-art-4038cb14df88454ead7c455b65528a662025-01-30T20:18:14ZfasUniversity of Qomمدیریت مهندسی و رایانش نرم2538-62392538-26752022-03-0181497010.22091/jemsc.2019.12941294A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic AlgorithmMohammad Moshrefi0Javad Behnamian1industrial engineering/ Bu ali Sina university/ Hamedan- IranAssociate Professor, Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, IranThis study analyzes the portfolio optimization model, by considering the financial management and investment science in order to evaluate risks and return in regard with restrictions such as buyers’ assets for purchasing per share. Accordingly, a novel model is designed as linear programming in order to optimize the investment portfolio, considering the expected rate of return, the minimum risk, and the buyer’s assets. After the introduction of the model as linear programming and expressing the related limitations, different types of investments which an investor can consider in order to form an investment portfolio were studied. Finally, an approach is proposed to solve the model by using the genetic algorithm, and is implemented and analyzed in regard with a real example. According to the results of this study, the new model reduced downside risk in comparison with previously proposed models, in a manner that its stair descent continues as the number of shares under study increases.https://jemsc.qom.ac.ir/article_1294_39b51e4bd6ddf05eadcbb9b98027bd40.pdfanalytic hierarchy process (ahp)genetic algorithmportfolio optimization
spellingShingle Mohammad Moshrefi
Javad Behnamian
A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
مدیریت مهندسی و رایانش نرم
analytic hierarchy process (ahp)
genetic algorithm
portfolio optimization
title A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
title_full A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
title_fullStr A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
title_full_unstemmed A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
title_short A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm
title_sort multi objective approach to portfolio optimization problem using the analytic hierarchy process ahp and genetic algorithm
topic analytic hierarchy process (ahp)
genetic algorithm
portfolio optimization
url https://jemsc.qom.ac.ir/article_1294_39b51e4bd6ddf05eadcbb9b98027bd40.pdf
work_keys_str_mv AT mohammadmoshrefi amultiobjectiveapproachtoportfoliooptimizationproblemusingtheanalytichierarchyprocessahpandgeneticalgorithm
AT javadbehnamian amultiobjectiveapproachtoportfoliooptimizationproblemusingtheanalytichierarchyprocessahpandgeneticalgorithm
AT mohammadmoshrefi multiobjectiveapproachtoportfoliooptimizationproblemusingtheanalytichierarchyprocessahpandgeneticalgorithm
AT javadbehnamian multiobjectiveapproachtoportfoliooptimizationproblemusingtheanalytichierarchyprocessahpandgeneticalgorithm