Approximating the k-splittable capacitated network design problem

Multicommodity Capacitated Network Design Problem

We study 0-1 reformulations of the multicommodity capacitated network design problem, which is usually modeled with general integer variables to represent, design decisions on the number of facilities to install on each arc of the network. The reformulations are based on the multiple choice model, a generic approach to represent piecewise linear costs using 0-1 variables. This model is improved...

Multi-commodity k-splittable survivable network design problems with relays

The network design problem is a well known optimization problem with applications in telecommunication, infrastructure designs and military operations. This paper devises the first formulation and solution methodology for the multi-commodity k-splittable two-edge disjoint survivable network design problem with capacitated edges and relays. This problem realistically portrays telecommunications ...

Approximating the Generalized Capacitated Tree-Routing Problem

In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s ∈ V and a set M ⊆ V − {s} of terminals with a nonnegative demand q(v), v ∈ M , we wish to find a collection T = {T1, T2, . . . , T`} of trees rooted at s to send all the demands to s, where the total demand collected by each tree Ti...

On the k-Splittable Flow Problem

In traditional multi-commodity flow theory, the task is to send a certain amount of each commodity from its start to its target node, subject to capacity constraints on the edges. However, no restriction is imposed on the number of paths used for delivering each commodity; it is thus feasible to spread the flow over a large number of different paths. Motivated by routing problems arising in rea...

Survivable network design: the capacitated minimum spanning network problem