On the extremality of maximal dual feasible functions

Dual feasible functions have been used with notable success to compute fast lower bounds and valid inequalities for various combinatorial optimization problems. In this paper, we analyze the theoretical properties of some of the best (and more complex) functions proposed in the literature. Additiona...

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Bibliographic Details
Main Author: Rietz, Jürgen (author)
Other Authors: Alves, Cláudio (author), Carvalho, J. M. Valério de (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/1822/15191
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/15191
Description
Summary:Dual feasible functions have been used with notable success to compute fast lower bounds and valid inequalities for various combinatorial optimization problems. In this paper, we analyze the theoretical properties of some of the best (and more complex) functions proposed in the literature. Additionally, we report on new results for composed functions. In particular, we describe under which conditions all these functions are extremal. These results are important since they allow to improve the computation of both lower bounds and valid inequalities.