Displaying similar documents to “Separable convexification and DCA techniques for capacity and flow assignment problems”

Separable convexification and DCA techniques for capacity and flow assignment problems

P. Mahey, Thai Q. Phong, H. P.L. Luna (2010)

RAIRO - Operations Research

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We study a continuous version of the capacity and flow assignment problem (CFA) where the design cost is combined with an average delay measure to yield a non convex objective function coupled with multicommodity flow constraints. A separable convexification of each arc cost function is proposed to obtain approximate feasible solutions within easily computable gaps from optimality. On the other hand, DC (difference of convex functions) programming can be used to compute accurate upper...

The inverse maximum flow problem considering norm

Adrian Deaconu (2008)

RAIRO - Operations Research

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The problem is to modify the capacities of the arcs from a network so that a given feasible flow becomes a maximum flow and the maximum change of the capacities on arcs is minimum. A very fast ⋅log()) time complexity algorithm for solving this problem is presented, where is the number of arcs and is the number of nodes of the network. The case when both, lower and upper bounds of the flow can be modified so that the given feasible flow becomes a maximum flow is also discussed. The...

An approach to robust network design in telecommunications

Georgios Petrou, Claude Lemaréchal, Adam Ouorou (2007)

RAIRO - Operations Research

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In telecommunications network design, one of the most frequent problems is to adjust the capacity on the links of the network in order to satisfy a set of requirements. In the past, these requirements were demands based on historical data and/or demographic predictions. Nowadays, because of new technology development and customer movement due to competitiveness, the demands present considerable variability. Thus, network robustness w.r.t demand uncertainty is now regarded as a major consideration....

Optimization of an SMD placement machine and flows in parametric networks

Katarína Cechlárová, Tamás Fleiner (2011)

Kybernetika

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In the minimization of the number of subtours made by the insertion head of an SMD placement machine a variant of the network flow problem arose. In a network with n vertices and m arcs a set F of arcs (parametrized arcs) is given. The task is to find a flow of a given size such that the maximum of flow values along the arcs from F is minimized. This problem can be solved by a sequence of maximum flow computations in modified networks where the capacities of the parametrized arcs are...