G. Retvdri, Dept. of Telecommun. & Media Informatics, Budapest Univ. of Technol. & Econ., Hungary
J.J. Biro, Dept. of Telecommun. & Media Informatics, Budapest Univ. of Technol. & Econ., Hungary
T. Cinkler, Dept. of Telecommun. & Media Informatics, Budapest Univ. of Technol. & Econ., Hungary
The minimum cost multicommodity flow problem plays a central role in today's operations research theory with applications ranging from transportation and logistics to telecommunications network routing. In this paper, we introduce a novel Lagrangian-relaxation technique, which, given an initial feasible solution, can solve the minimum cost multicommodity flow problem as a sequence of single-commodity flow problems. Our methodology is best suited for OSPF traffic engineering, because it can rapidly improve a given path set towards approximate optimality while simultaneously provides the link weights, which implement the paths as shortest paths.
Citation:
G. Retvdri, J.J. Biro, T. Cinkler, "A novel Lagrangian-relaxation to the minimum cost multicommodity flow problem and its application to OSPF traffic engineering," iscc, vol. 2, pp.957-962, Ninth IEEE Symposium on Computers and Communications 2004 Volume 2 (ISCC"04), 2004