Geometric Duality in Multiple Objective Linear Programming

نویسندگان

  • Frank Heyde
  • Andreas Löhne
چکیده

We develop in this article a geometric approach to duality in Multiple Objective Linear Programming. This approach is based on a very old idea, the duality of polytopes, which can be traced back to the old Greeks. We show that there is an inclusion reversing one-to-one map between the minimal faces of the image of the primal objective and the maximal faces of the image of the dual objective map.

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عنوان ژورنال:
  • SIAM Journal on Optimization

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2008