Geodesic
On Three Approaches To Length-Bounded Maximum Multicommodity Flow With Unit Edge-Lengths
Yugoslav journal of operations research, Tome 29 (2019) no. 1, p. 93 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The paper presents a comparison between three approaches to solving the length-bounded maximum multicommodity flow problem with unit edge-lengths. Following the first approach, Garg and Könemann’s, we developed an improved fully polynomial-time approximation scheme for this problem. As the second alternative, we considered the well-known greedy approach. The third approach is the one that yields exact solutions by means of a standard LP solver applied to an LP model on the time-expanded network. Computational experiments are carried out on benchmark graphs and the graphs that model software defined satellite networks, to compare the proposed algorithms with an exact linear programming solver. The results of the experiments demonstrate a trade-off between the computing time and the precision of algorithms under consideration.
Classification : 65K05, 68M10
Keywords: Computational Experiment, Linear Programming, Fully Polynomial-Time Approximation Scheme, Greedy Heuristic, Software Defined Satellite Network 
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     author = {Pavel Borisovsky and Anton Eremeev and Sergei Hrushev and Vadim Teplyakov and Mikhail Vorozhtsov},
     title = {On {Three} {Approaches} {To} {Length-Bounded} {Maximum} {Multicommodity} {Flow} {With} {Unit} {Edge-Lengths}},
     journal = {Yugoslav journal of operations research},
     pages = {93 },
     year = {2019},
     volume = {29},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2019_29_1_a6/}
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Pavel Borisovsky; Anton Eremeev; Sergei Hrushev; Vadim Teplyakov; Mikhail Vorozhtsov. On Three Approaches To Length-Bounded Maximum Multicommodity Flow With Unit Edge-Lengths. Yugoslav journal of operations research, Tome 29 (2019) no. 1, p. 93 . http://geodesic.mathdoc.fr/item/YJOR_2019_29_1_a6/