An interactive evolutionary algorithm for multiple objective convex integer problems

  • Authors:
  • Vassil Guliashki;Leoneed Kirilov

  • Affiliations:
  • Inst. of Information and Communication Technologies--BAS;Inst. of Information and Communication Technologies--BAS

  • Venue:
  • Proceedings of the 12th International Conference on Computer Systems and Technologies
  • Year:
  • 2011

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Abstract

An interactive evolutionary algorithm is presented in the paper, designed to solve integer multi-objective convex integer optimization problems. The algorithm is population-based. A heuristic procedure is used to accelerate the search process, so that the algorithm performs considerably faster than the usual population-based algorithms. The algorithm is developed to perform in the variables' space, but the solutions obtained are evaluated and their values in the objectives' space are used to support the Decision Maker (DM) in the choice of his/her preferences in the form of a reference point in the objectives' space. Comparison is done on an illustrative example between the performance of the new algorithm proposed and SPEA algorithm (Strength Pareto Evolutionary Algorithm). The computational complexity of a single iteration of proposed algorithm is proved to be polynomial.