Integer programming models and branch-and-cut approaches to generalized {0,1,2}-survivable network design problems

Markus Leitner ()
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Markus Leitner: University of Vienna

Computational Optimization and Applications, 2016, vol. 65, issue 1, No 3, 73-92

Abstract: Abstract In this article, we introduce the Generalized $$\{0,1,2\}$$ { 0 , 1 , 2 } -Survivable Network Design Problem ( $$\{0,1,2\}$$ { 0 , 1 , 2 } -GSNDP) which has applications in the design of backbone networks. Different mixed integer linear programming formulations are derived by combining previous results obtained for the related $$\{0,1,2\}$$ { 0 , 1 , 2 } -GSNDP and Generalized Network Design Problems. An extensive computational study comparing the correspondingly developed branch-and-cut approaches shows clear advantages for two particular variants. Additional insights into individual advantages and disadvantages of the developed algorithms for different instance characteristics are given.

Keywords: Generalized network design; Survivability; Biconnectivity; Branch-and-cut; Mixed integer linear programming (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10589-016-9836-y

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