Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
IEEE/ACM Transactions on Networking (TON)
The complexity of path coloring and call scheduling
Theoretical Computer Science
IEEE/ACM Transactions on Networking (TON)
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
On column generation formulations for the RWA problem
Discrete Applied Mathematics
Review: Comparison of ILP formulations for the RWA problem
Optical Switching and Networking
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This work deals with solving the Routing and Wavelength Assignment problem where the number of accepted connections is to be maximized. Lagrangean decomposition as well as Lagrangean relaxation are studied for both node-arc formulations and arc-path formulation. It is shown that relaxing the demand constraints yields an edge-disjoint path problem with profits that is NP-hard, while the Lagrangean problem obtained when the clash constraints are relaxed becomes a shortest path problem or a 0–1 linear knapsack problem, depending on the formulation used. Moreover, it is shown that the Lagrangean decomposition is not stronger than the Lagrangean relaxation of the demand constraints. We also propose a subgradient algorithm to solve the Lagrangean dual obtained by relaxing the clash constraints. Numerical results demonstrate a high quality of Lagrangean dual bounds with fast computation time. © 2011 Wiley Periodicals, Inc. NETWORKS, 2012 © 2012 Wiley Periodicals, Inc.