English, Article edition: On the computation of all supported efficient solutions in multi-objective integer network flow problems Eusébio, Augusto; Figueira, José Rui

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Bookmark: http://trove.nla.gov.au/version/10656
Physical Description
  • article
Language
  • English

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Title
  • On the computation of all supported efficient solutions in multi-objective integer network flow problems
Author
  • Eusébio, Augusto
  • Figueira, José Rui
Physical Description
  • article
Notes
  • This paper presents a new algorithm for identifying all supported non-dominated vectors (or outcomes) in the objective space, as well as the corresponding efficient solutions in the decision space, for multi-objective integer network flow problems. Identifying the set of supported non-dominated vectors is of the utmost importance for obtaining a first approximation of the whole set of non-dominated vectors. This approximation is crucial, for example, in two-phase methods that first compute the supported non-dominated vectors and then the unsupported non-dominated ones. Our approach is based on a negative-cycle algorithm used in single objective minimum cost flow problems, applied to a sequence of parametric problems. The proposed approach uses the connectedness property of the set of supported non-dominated vectors/​efficient solutions to find all integer solutions in maximal non-dominated/​efficient facets.
  • Multi-objective linear and integer programming Multi-objective network flows Negative-cycle algorithms Parametric programming
  • RePEc:eee:ejores:v:199:y:2009:i:1:p:68-76
Language
  • English
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