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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 bounds and...
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 bounds and...
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