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A DEA-based MOEA/D algorithm for portfolio optimization

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Abstract

In this paper, we present a multi-objective genetic algorithm DEA-MOEA/D by integrating decomposition method and DEA (Data Envelopment Analysis) approach. The initial solutions are generated by the DEA approach. Difference operators are adopted as the crossover operator of the parent. We adopt the test functions and portfolio optimization problems to compare the performance of DEA-MOEA/D, FDH-MOGA, MOEA/D and NSGA II. The results show that DEA-MOEA/D performs better than other three algorithms, not only for test functions, but for the portfolio optimization.

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References

  1. Liu, W.B., Zhou, Z.B., Liu, D.B., Xiao, H.L.: Estimation of portfolio efficiency via DEA. Omega-Int. J. Manag. Sci. 52, 107–118 (2015)

    Article  Google Scholar 

  2. Wang, R., Purshouse, R.C., Fleming, P.J.: Preference-inspired coevolutionary algorithms for many-objective optimization. IEEE Trans. Evol. Comput. 17(4), 474–494 (2013)

    Article  Google Scholar 

  3. Wang, R., Zhou, Z., Ishibuchi, H., Liao, T., Zhang, T.: Localized weighted sum method for many-objective optimization. IEEE Trans. Evol. Comput. 22(1), 3–18 (2018)

    Article  Google Scholar 

  4. Wang, R., Zhang, Q., Zhang, T.: Decomposition-based algorithms using pareto adaptive scalarizing methods. IEEE Trans. Evol. Comput. 20(6), 821–837 (2016)

    Article  Google Scholar 

  5. Zhang, Q., Li, H.: MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)

    Article  Google Scholar 

  6. Li, H., Landa-Silva, D.: An adaptive evolutionary multi-objective approach based on simulated annealing. Evol. Comput. 19(4), 561–595 (2011)

    Article  Google Scholar 

  7. Tan, Y., Jiao, Y.: MOEA/D with uniform design for solving multiobjective knapsack problems. JCP 8(2), 302–307 (2013)

    Google Scholar 

  8. Ishibuchi H, Sakane Y, Tsukamoto N, et al. Simultaneous use of different scalarizing functions in MOEA/D[C]//Proceedings of the 12th annual conference on Genetic and evolutionary computation. ACM, 2010: 519-526

  9. Lu, H., Zhu, Z., Wang, X., et al. A variable neighborhood MOEA/D for multiobjective test task scheduling problem. Math. Probl. Eng. 1–14 (2014)

    MathSciNet  MATH  Google Scholar 

  10. Konstantinidis, A., Yang, K.: Multi-objective energy-efficient dense deployment in wireless sensor networks using a hybrid problem-specific MOEA/D. Appl. Soft Comput. 11(6), 4117–4134 (2011)

    Article  Google Scholar 

  11. Zhang, Q., Liu, W., Tsang, E., et al.: Expensive multiobjective optimization by MOEA/D with Gaussian process model. IEEE Trans. Evol. Comput. 14(3), 456–474 (2010)

    Article  Google Scholar 

  12. Ma, X., Liu, F., Qi, Y., et al.: MOEA/D with biased weight adjustment inspired by user preference and its application on multi-objective reservoir flood control problem. Soft. Comput. 20(12), 4999–5023 (2016)

    Article  Google Scholar 

  13. Charnes, A., Cooper, W.W., Rhodes, E.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2(6), 429–444 (1978)

    Article  MathSciNet  Google Scholar 

  14. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  15. Liu, Y.: Multi-objective evolutionary algorithm with partition strategy based on DEA model, Hunan University (2017)

  16. Hillermeier, C.: Nonlinear multiobjective optimization. Birkhaüser Verlag, Basel (2001)

    Book  Google Scholar 

  17. Das, I., Dennis, J.E.: Normal-boundary intersection: a new method for generating the pareto surface in nonlinear multicriteria optimization problems. SIAM J. Optim. 8(3), 631–657 (2000)

    Article  MathSciNet  Google Scholar 

  18. Storn, R., Price, K.V.: Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012 (1995)

  19. Deb, K., Beyer, H.G.: Self-adaptive genetic algorithms with simulated binary crossover. Evolut. Comput. 9(2), 197 (1993)

    Article  Google Scholar 

  20. Veldhuizen, D.A.V., Lamont, G.B.: Evolutionary computation and convergence to a pareto front, pp. 221–228. Stanford University California, Stanford (1998)

  21. Schott, J.R.: Fault tolerant design using single and multicriteria genetic algorithm optimization. Tech Rep DTIC Document (1995)

  22. Arnone, S., Loraschi, A., Tettamanzi, A.: A genetic approach to portfolio selection (1993)

  23. Lin, C.-C., Liu, Y.-T.: Genetic algorithms for portfolio selection problems with minimum transaction lots. Eur. J. Oper. Res. 185(1), 393–404 (2008)

    Article  Google Scholar 

  24. Yan, W., Miao, R., Li, S.: Multi-period semi-variance portfolio selection: model and numerical solution. Appl. Math. Comput. 194(1), 128–134 (2007)

    MathSciNet  MATH  Google Scholar 

  25. Zhou, Z., Xiao, H., Jin, Q., Liu, W.: DEA frontier improvement and portfolio rebalancing: An application of China mutual funds on considering sustainability information disclosure. Eur. J. Oper. Res. (2017)

  26. Zhou, Z., Jin, Q., Xiao, H., Wu, Q., Liu, W.: Estimation of cardinality constrained portfolio efficiency via segmented DEA. Omega 76, 28–37 (2018)

    Article  Google Scholar 

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Acknowledgements

We gratefully acknowledge the financial support from the National Natural Science Foundation of China (Nos. 71771082, 71371067) and Hunan Provincial Natural Science Foundation of China (No. 2017JJ1012).

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Correspondence to Zhongbao Zhou.

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Zhou, Z., Liu, X., Xiao, H. et al. A DEA-based MOEA/D algorithm for portfolio optimization. Cluster Comput 22 (Suppl 6), 14477–14486 (2019). https://doi.org/10.1007/s10586-018-2316-7

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