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

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  • Markus Leitner

    (University of Vienna)

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.

Suggested Citation

  • Markus Leitner, 2016. "Integer programming models and branch-and-cut approaches to generalized {0,1,2}-survivable network design problems," Computational Optimization and Applications, Springer, vol. 65(1), pages 73-92, September.
    • Handle: RePEc:spr:coopap:v:65:y:2016:i:1:d:10.1007_s10589-016-9836-y
    DOI: 10.1007/s10589-016-9836-y
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