Abstract:This study basically employs the Markowitz mean-variance model for portfolio selection problem. Since this model is classified as a quadratic programming model there is not any efficient algorithm to solve it. The goal of this study is to find a feasible portfolio with a minimum risk through the application of heuristic algorithm. The two PSO and GA algorithm has been used. The results show that PSO approach is suitable in portfolio optimization.
“…Fourth, overseeing policy statements, capital market conditions and investment strategies to verify any changes. These steps are a continuous procedure in a portfolio (Kamali, 2014).…”
An investor who wants to invest by avoiding risk makes investors tend to choose investments with the same expected return and the smallest or lowest possible risk. Therefore, investors expect to be able to maximize profits and minimize risk at the same time in investing. In a stock portfolio, it can be done by investing the funds owned by investors into several stocks so that it can reduce the risk of losses that will occur simultaneously. In choosing the right company to invest in with consideration of expected return and risk, a multi-objective optimization with multivariate objects can be used so that it can meet the expectations of investors. The portfolio concept introduced by Markowitz is a portfolio optimization intended for standard investors because it only refers to one explanation of portfolio returns. The Markowitz method can produce an optimal stock portfolio by considering the expected return and risk simultaneously so that the maximum profit can be obtained without eliminating the existing risk.
“…Fourth, overseeing policy statements, capital market conditions and investment strategies to verify any changes. These steps are a continuous procedure in a portfolio (Kamali, 2014).…”
An investor who wants to invest by avoiding risk makes investors tend to choose investments with the same expected return and the smallest or lowest possible risk. Therefore, investors expect to be able to maximize profits and minimize risk at the same time in investing. In a stock portfolio, it can be done by investing the funds owned by investors into several stocks so that it can reduce the risk of losses that will occur simultaneously. In choosing the right company to invest in with consideration of expected return and risk, a multi-objective optimization with multivariate objects can be used so that it can meet the expectations of investors. The portfolio concept introduced by Markowitz is a portfolio optimization intended for standard investors because it only refers to one explanation of portfolio returns. The Markowitz method can produce an optimal stock portfolio by considering the expected return and risk simultaneously so that the maximum profit can be obtained without eliminating the existing risk.
“…PSO has been shown to be very competitive amongst other approaches to unconstrained portfolio optimization. Kamali showed that PSO was able to obtain higher quality portfolios in less time than a GA [88]. PSO, compared with a GA and an industry tool, proved to be a superior algorithm in nding solutions to portfolio optimization [194].…”
Section: Particle Swarm Optimizationmentioning
confidence: 99%
“…A variety of evolutionary and swarm intelligence algorithms have been proposed to solve the portfolio optimization problem. [5], [7], [15], [17], [46], [48], [75], [76], [79], [80], [88], [129], [166], [189],…”
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“…Since in the harmony, musician seek optimum solutions at each stage using the generated rules in the previous steps, and Because harmony search algorithm does not work well in the local optimum [19] and this action increases the execution time and reduce convergence of the algorithm [20], we use a genetic algorithm. Genetic algorithm increases the search space to achieve universal or near-universal response [21].For this purpose, we use two operators of genetic algorithm, crossover and mutation; In addition search Harmony operators in the stage production rules. So we implement the two operators on generated rules.…”
Section: Improvement Of the Proposed Algorithmmentioning
In this paper, a method based on Harmony Search Algorithm (HSA) is proposed for pattern classification. One of the important issues in the design of fuzzy classifier if the product of fuzzy if then rules. So that the number of incorrectly classified patterns is minimized. In the HSA-based method, every musician makes a musical note and it can be regarded as a solution vector. The algorithm uses Genetic algorithm based local search to improve the quality of fuzzy classification system. The proposed algorithm is evaluated on a breast cancer data. The results show that the algorithm based on improved genetic is able to produce a fuzzy classifier to detect breast cancer.
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