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Antioptimisation of Trusses Using Two‐Level Population‐Based Incremental Learning

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  • Phinit Tontragunrat
  • Sujin Bureerat

Abstract

Practical optimum design of structures often involves parameters with uncertainties. There have been several ways to deal with such optimisation problems, and one of the approaches is an antioptimisation process. The task is to find the optimum solution of common design variables while simultaneously searching for the worst case scenario of those parameters with uncertainties. This paper proposed a metaheuristic based on population‐based incremental learning (PBIL) for solving antioptimisation of trusses. The new algorithm is called two‐level PBIL which consists of outer and inner loops. Five antioptimisation problems are posed to test the optimiser performance. The numerical results show that the concept of using PBIL probability vectors for handling the antioptimisation of truss is powerful and effective. The two‐level PBIL can be considered a powerful optimiser for antioptimisation of trusses.

Suggested Citation

  • Phinit Tontragunrat & Sujin Bureerat, 2013. "Antioptimisation of Trusses Using Two‐Level Population‐Based Incremental Learning," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:434636
    DOI: 10.1155/2013/434636
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    References listed on IDEAS

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    1. Surafel Luleseged Tilahun & Hong Choon Ong, 2012. "Modified Firefly Algorithm," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, November.
    2. Surafel Luleseged Tilahun & Hong Choon Ong, 2012. "Modified Firefly Algorithm," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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