Two-Connected Networks with Rings of Bounded Cardinality

[en] We study the problem of designing at minimum cost a two-connected network such that each edge belongs to a cycle using at most K edges. This problem is a particular case of the two-connected networks with bounded meshes problem studied by Fortz, Labb´e and Maffioli (Operations Research, vol. 48, no. 6, pp. 866–877, 2000). In this paper, we compute a lower bound on the number of edges in a feasible solution, we show that the problem is strongly NP-complete for any fixed K , and we derive a new class of facet defining inequalities. Numerical results obtained with a branch-and-cut algorithm using these inequalities show their effectiveness for solving the problem.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Fortz, Bernard ; Université de Liège - ULiège > HEC Liège Research > HEC Liège Research: Business Analytics & Supply Chain Mgmt

Labbé, M.

Language :

English

Title :

Two-Connected Networks with Rings of Bounded Cardinality

Publication date :

2004

Journal title :

Computational Optimization and Applications

ISSN :

0926-6003

eISSN :

1573-2894

Volume :

Issue :

Pages :

123-148

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0942299109&doi=10.1023%2fB%3aCOAP.0000008649.61438.6b&partnerID=40&md5=f99e8ca2594dc04bfd36f79e1210afb2

Available on ORBi :

since 27 November 2024

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