Using multiflow formulations to solve the Steiner tree problem in graphs

被引:0
作者
Bahiense, Laura [1 ]
Besso, Arthur [2 ]
Tostas, Rogerio [1 ]
Maculan, Nelson [1 ]
机构
[1] Univ Fed Rio de Janeiro, Grad Sch & Res Engn, Alberto Luiz Coimbra Inst, Syst Engn & Comp Sci Program, Rio De Janeiro, Brazil
[2] IBGE Fdn CRM GEFET, Rio De Janeiro, Brazil
关键词
Steiner problem in graphs; multiflow formulations; linear relaxations;
D O I
10.1051/ro/2020023
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We present three different mixed integer linear models with a polynomial number of variables and constraints for the Steiner tree problem in graphs. The linear relaxations of these models are compared to show that a good (strong) linear relaxation can be a good approximation for the problem. We present computational results for the STP OR-Library (J.E. Beasley) instances of type b, c, d and e.
引用
收藏
页码:S343 / S350
页数:8
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