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Title: An effective algorithm for obtaining the minimal cost pair of disjoint paths with dual arc costs
Author: Gomes, Teresa
Craveirinha, José
Jorge, Luísa
Keywords: OR in telecommunications
Paths with minimal cost sum
Dual arc costs
Disjoint paths
Issue Date: 2009
Publisher: Elsevier
Citation: Gomes, Teresa; Craveirinha, José; Jorge, Luísa (2009) - An effective algorithm for obtaining the minimal cost pair of disjoint paths with dual arc costs. Computers & Operations Research. ISSN 0305-0548. 36:5, p.1670-1682
Series/Report no.: 5;
Abstract: Routing optimisation in some types of networks requires the calculation of the minimal cost pair of disjoint paths such that the cost functions associated with the arcs in the two paths are different. An exact algorithm for solving this NP-complete problem is proposed, based on a condition which guarantees that the optimal path pair cost has been obtained. This optimality condition is based on the calculation of upper and lower bounds on the optimal cost. A formal proof of the correctness of the algorithm is described. Extensive experimentation is presented to show the effectiveness of the algorithm, including a comparison with an integer linear programming formulation.
Peer review: yes
ISSN: 0305-0548
Appears in Collections:IC - Artigos em Revistas Indexados ao ISI/Scopus

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