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Hybrid Dynamic Resampling Algorithms for Evolutionary Multi-objective Optimization of Invariant-Noise Problems

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Applications of Evolutionary Computation (EvoApplications 2016)

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Abstract

In Simulation-based Evolutionary Multi-objective Optimization (EMO) the available time for optimization usually is limited. Since many real-world optimization problems are stochastic models, the optimization algorithm has to employ a noise compensation technique for the objective values. This article analyzes Dynamic Resampling algorithms for handling the objective noise. Dynamic Resampling improves the objective value accuracy by spending more time to evaluate the solutions multiple times, which tightens the optimization time limit even more. This circumstance can be used to design Dynamic Resampling algorithms with a better sampling allocation strategy that uses the time limit. In our previous work, we investigated Time-based Hybrid Resampling algorithms for Preference-based EMO. In this article, we extend our studies to general EMO which aims to find a converged and diverse set of alternative solutions along the whole Pareto-front of the problem. We focus on problems with an invariant noise level, i.e. a flat noise landscape.

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References

  1. Bader, J., Zitzler, E.: HypE: An algorithm for fast hypervolume-based many-objective optimization. In: Computer Engineering and Networks Laboratory (TIK), ETH Zurich (2008)

    Google Scholar 

  2. Bartz-Beielstein, T., Blum, D., Branke, J.: Particle swarm optimization and sequential sampling in noisy environments. In: Doerner, K.F., Gendreau, M., Greistorfer, P., Gutjahr, W., Hartl, R.F., Reimann, M. (eds.) Metaheuristics - Progress in Complex Systems Optimization. Operations Research/Computer Science Interfaces Series, vol. 39, pp. 261–273. Springer, Heidelberg (2007)

    Google Scholar 

  3. Beume, N., Naujoks, B., Emmerich, M.: SMS-EMOA: Multiobjective selection based on dominated hypervolume. Eur. J. Oper. Res. 181(3), 1653–1669 (2007). ISSN 1049–3301

    Article  MATH  Google Scholar 

  4. Branke, J., Schmidt, C.: Sequential sampling in noisy environments. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 202–211. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Chen, C.-H., Lee, L.H.: Stochastic Simulation Optimization - An Optimal Computing Budget Allocation. World Scientific Publishing Company, Hackensack (2010). ISBN 978-981-4282-64-2

    Book  Google Scholar 

  6. Coello Coello, C.A., Reyes Sierra, M.: A study of the parallelization of a coevolutionary multi-objective evolutionary algorithm. In: Monroy, R., Arroyo-Figueroa, G., Sucar, L.E., Sossa, H. (eds.) MICAI 2004. LNCS (LNAI), vol. 2972, pp. 688–697. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

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

    Article  Google Scholar 

  8. Di Pietro, A., While, L., Barone, L.: Applying evolutionary algorithms to problems with noisy, time-consuming fitness functions. In: Proceedings of the Congress on Evolutionary Computation 2004, vol. 2, pp. 1254–1261 (2004)

    Google Scholar 

  9. Enginarlar, E., Li, J., Meerkov, S.M.: How lean can lean buffers be? IIE Trans. 37(5), 333–342 (2005)

    Article  Google Scholar 

  10. Fieldsend, J.E., Everson, R.M.: The rolling tide evolutionary algorithm: a multiobjective optimizer for noisy optimization problems. IEEE Trans. Evol. Comput. 19(1), 103–117 (2015). ISSN 1089–778X

    Article  Google Scholar 

  11. Goh, C.K., Tan, K.C.: Evolutionary Multi-objective Optimization in Uncertain Environments: Issues and Algorithms. Springer, Heidelberg (2009). ISBN 978-3-540-95976-2

    MATH  Google Scholar 

  12. Jin, Y., Branke, J.: Evolutionary optimization in uncertain environments - a survey. IEEE Trans. Evol. Comput. 9(3), 303–317 (2005). ISSN 1089–778X

    Article  Google Scholar 

  13. Lee, L.H., Chew, E.P.: Design sampling and replication assignment under fixed computing budget. J. Syst. Sci. Syst. Eng. Syst. Eng. Soc. China 14(3), 289–307 (2005). ISSN 1004–3756

    Article  MathSciNet  Google Scholar 

  14. Papadopoulos, C.T., O’Kelly, M.E.J., Vidalis, M.J., Spinellis, D.: Analysis and Design of Discrete Part Production Lines. Springer Optimization and its Application Series, vol. 31. Springer, New York (2009). ISBN 978-1-4419-2797-2

    MATH  Google Scholar 

  15. Park, T., Ryu, K.R.: Accumulative sampling for noisy evolutionary multi-objective optimization. In: Proceedings of the Conference on Genetic and Evolutionary Computation, Dublin, Ireland, pp. 793–800, ISBN 978-1-4503-0557-0 (2011)

    Google Scholar 

  16. Siegmund, F.: Sequential sampling in noisy multi-objective evolutionary optimization. Master thesis, University of Skövde, Sweden and Karlsruhe Institute of Technology, Germany (2009). http://urn.kb.se/resolve?urn=urn: nbn: se: his: diva-3390

  17. Siegmund, F., Ng, A.H.C., Deb, K.: A comparative study of dynamic resampling strategies for guided evolutionary multi-objective optimization. In: Proceedings of the IEEE Congress on Evolutionary Computation 2013, Cancún, Mexico, pp. 1826–1835. ISBN 978-1-4799-0454-9 (2013)

    Google Scholar 

  18. Siegmund, F., Ng, A.H.C., Deb, K.: Hybrid dynamic resampling for guided evolutionary multi-objective optimization. In: Proceedings of the 8th International Conference on Evolutionary Multi-Criterion Optimization, Guimarães, Portugal, pp. 366–380. ISBN 978-3-319-15934-8 (2015)

    Google Scholar 

  19. Siegmund, F., Ng, A.H.C., Deb, K.: Dynamic resampling for preference-based evolutionary multi-objective optimization of stochastic systems. Submitted to European Journal of Operational Research (2016). http://www.egr.msu.edu/ kdeb/papers/c2015020.pdf

  20. Siegmund, F., Ng, A.H.C., Deb, K.: Standard Error Dynamic Resampling for Preference-based Evolutionary Multi-objective Optimization. Submitted to Computers & Operations Research (2016). http://www.egr.msu.edu/ kdeb/papers/c2015021.pdf

  21. Syberfeldt, A., Ng, A.H.C., John, R.I., Moore, P.: Evolutionary optimisation of noisy multi-objective problems using confidence-based dynamic resampling. Eur. J. Oper. Res. 204(3), 533–544 (2010). ISSN 0377–2217

    Article  MathSciNet  MATH  Google Scholar 

  22. Tan, K.C., Goh, C.K.: Handling uncertainties in evolutionary multi-objective optimization. In: Zurada, J.M., Yen, G.G., Wang, J. (eds.) Computational Intelligence: Research Frontiers. LNCS, vol. 5050, pp. 262–292. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  23. Tsoularis, A.: Analysis of logistic growth models. Res. Lett. Inf. Math. Sci. 2, 23–46 (2001). ISSN 0377–2217

    Google Scholar 

  24. Van Veldhuizen, D.A.: Multiobjective Evolutionary Algorithms: Classifications, Analyses, and New Innovations. Ph.D. thesis, Department of Electrical and Computer Engineering, Graduate School of Engineering, Air Force Institute of Technology, Wright-Patterson AFB, Ohio, USA (1999)

    Google Scholar 

  25. Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: Empirical results. Evol. Comput. 8(2), 173–195 (2000)

    Article  Google Scholar 

  26. Zitzler, E., Thiele, L.: Multiobjective optimization using evolutionary algorithms - a comparative case study. In: Schoenauer, M., Schwefel, H.-P., Eiben, A.E., Bäck, T. (eds.) PPSN 1998. LNCS, vol. 1498, p. 292. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

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Acknowledgments

This study was partially funded by the Knowledge Foundation, Sweden, through the BlixtSim and IDSS projects. The authors gratefully acknowledge their provision of research funding.

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Correspondence to Florian Siegmund .

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Siegmund, F., Ng, A.H.C., Deb, K. (2016). Hybrid Dynamic Resampling Algorithms for Evolutionary Multi-objective Optimization of Invariant-Noise Problems. In: Squillero, G., Burelli, P. (eds) Applications of Evolutionary Computation. EvoApplications 2016. Lecture Notes in Computer Science(), vol 9598. Springer, Cham. https://doi.org/10.1007/978-3-319-31153-1_21

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  • DOI: https://doi.org/10.1007/978-3-319-31153-1_21

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