Solving Phase Equilibrium Problems by Means of Avoidance-Based Multiobjectivization

  • Mike PreussEmail author
  • Simon Wessing
  • Günter Rudolph
  • Gabriele Sadowski
Part of the Springer Handbooks book series (SHB)


Phase-equilibrium problems are good examples for real-world engineering optimization problems with a certain characteristic. Despite their low dimensionality, finding the desired optima is difficult as their basins of attraction are small and surrounded by the much larger basin of the global optimum, which unfortunately resembles a physically impossible and therefore unwanted solution. We tackle such problems by means of a multiobjectivization-assisted multimodal optimization algorithm which explicitly uses problem knowledge concerning where the sought solutions are not in order to find the desired ones. The method is successfully applied to three phase-equilibrium problems and shall be suitable also for tackling difficult multimodal optimization problems from other domains.


Local Search Multiobjective Optimization Search Point Evolutionary Multiobjective Algorithm Covariance Matrix Adaptation Evolution Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

cellular evolutionary algorithm


covariance matrix adaptation


differential evolution


evolutionary algorithm


evolutionary computation


evolutionary multiobjective algorithm


evolution strategy


genetic algorithm


genetic programming


liquid–liquid equilibrium


multimemetic algorithm


multiobjectivization-assisted multimodal optimization


nondominated sorting genetic algorithm


perturbed chain statistical associating fluid theory


S-metric selection evolutionary multiobjective algorithm


tabu search


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Mike Preuss
    • 1
    Email author
  • Simon Wessing
    • 2
  • Günter Rudolph
    • 2
  • Gabriele Sadowski
    • 3
  1. 1.Inst. WirtschaftsinformatikWWU MünsterMünsterGermany
  2. 2.Fak. InformatikTechnische Universität DortmundDortmundGermany
  3. 3.Bio- und ChemieingenieurwesenTechnische Universität DortmundDortmundGermany

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