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On three approaches to length-bounded maximum multicommodity flow with unit edge-lengths

2018; University of Belgrade; Volume: 29; Issue: 1 Linguagem: Inglês

10.2298/yjor181015034b

2334-6043

Pavel Borisovsky, Anton V. Eremeev, Sergei Hrushev, Vadim Teplyakov, Mikhail Vorozhtsov,

Advanced Graph Theory Research

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 K?nemann?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.