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Outer Branching: How to Optimize under Partial Orders?

In: Multiobjective Programming and Goal Programming

Author

Listed:
  • Junker Ulrich

    (ILOG 1681)

Abstract

Partial orders provide a convenient way to express preferences on multiple criteria. Prominent examples are Pareto-dominance and the preference relations of (T)CP-nets [1]. In advanced personalized recommender systems, the user may also specify a partial order over the possible values of a single criterion. We introduce a technique called outer branching to compute the non-dominated frontier of optimization problems with partial orders. It can be used to compute all Pareto-optimal solutions for n criteria by performing a systematic search over the criteria space. Dominance constraints avoid the generation of non-optimal solutions.

Suggested Citation

  • Junker Ulrich, 2009. "Outer Branching: How to Optimize under Partial Orders?," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 99-109, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_10
    DOI: 10.1007/978-3-540-85646-7_10
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