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Multistage Covariance Matrix Adaptation with Differential Evolution for Constrained Optimization

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Swarm, Evolutionary, and Memetic Computing (SEMCCO 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7677))

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Abstract

Single Objective minimizations often involve simultaneous satisfaction of a number of conditions, known as constraints. MCMADE proposes a two-stage algorithm having an initial CMA or Covariance Matrix Adaptation phase and a subsequent Differential Evolution strategy in the second phase. The two phases are synchronized using a stagnate parameter. To handle the constraints, a simple penalty function, without any penalty parameter has been employed which adds the margin of violations to the fitness value of each particle in the landscape. MCMADE has been tested on the problem set specified by the CEC 2010 benchmark.

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References

  1. Deb, K.: An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering 186, 311–338 (2000)

    Article  MATH  Google Scholar 

  2. Takahama, Sakai: Constrained Optimization by the Constrained Differential Evolution with Gradient-Based Mutation and Feasible Elites. In: IEEE Congress on Evolutionary Computation, Sheraton Vancouver Wall Centre Hotel, Vancouver, BC, Canada, pp. 1–8 (2006)

    Google Scholar 

  3. Runarsson, T.A., Yao, X.: Stochastic ranking for constrained evolutionary optimization. IEEE Transactions on Evolutionary Computation 4, 284–294 (2000)

    Article  Google Scholar 

  4. Farmani, R., Wright, J.A.: Self-Adaptive Fitness Formulation for Constrained Optimization. IEEE Transactions on Evolutionary Computation 7, 445–455 (2003)

    Article  Google Scholar 

  5. Tessema, Yen: A self adaptive penalty function based algorithm for constrained optimization. In: Yen, Lucas, Fogel, Kendall, Salomon, Zhang, Coello, Runarsson (eds.) Proceedings of the 2006 IEEE Congress on Evolutionary Computation, July 16-21, pp. 246–253. IEEE Press, Vancouver (2006)

    Chapter  Google Scholar 

  6. Coello, C.A.C.: Use of a self-adaptive penalty approach for engineering optimization problems. Computers in Industry 41(2), 113–127 (2000)

    Article  Google Scholar 

  7. Mallipeddi, Suganthan: Ensemble of Constraint Handling Techniques. IEEE Transactions on Evolutionary Computation, available online

    Google Scholar 

  8. Hansen, N., Kern, S.: Evaluating the CMA Evolution Strategy on Multimodal Test Functions. 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 VIII. LNCS, vol. 3242, pp. 282–291. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Price, Storn, Lampinen: Differential Evolution – A Practical Approach to Global Optimization. Springer, Berlin (2005)

    MATH  Google Scholar 

  10. Das, S., Suganthan, P.N.: Differential Evolution – A Survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation 15(1), 4–31 (2011)

    Article  Google Scholar 

  11. Mallipeddi, Suganthan: Problem Definitions and Evaluation Criteria for the CEC 2010 Competition on Constrained Real-Parameter Optimization. Nanyang Technological University, Singapore (2010)

    Google Scholar 

  12. Polakova, Tvrdik: Various Mutation Strategies in Enhanced Competitive Differential Evolution for Constrained Optimization. In: Differential Evolution (SDE), IEEE Symposium Series on Computational Intelligence (2011)

    Google Scholar 

  13. Sardar, S., Maity, S., Das, S., Suganthan, P.N.: Constrained Real Parameter Optimization with a Gradient Repair based Differential Evolution Algorithm. In: Differential Evolution (SDE), IEEE Symposium Series on Computational Intelligence (2011)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Debchoudhury, S., Mukherjee, R., Kundu, R. (2012). Multistage Covariance Matrix Adaptation with Differential Evolution for Constrained Optimization. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Nanda, P.K. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2012. Lecture Notes in Computer Science, vol 7677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35380-2_72

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  • DOI: https://doi.org/10.1007/978-3-642-35380-2_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35379-6

  • Online ISBN: 978-3-642-35380-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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