Consider a directed graph G = (V;A), and a set of tra c demands to be shipped between pairs of nodes in V. Capacity has to be installed on the edges of this graph (in integer mult...
We propose an exact solution method for a routing and capacity installation problem in networks. Given an input graph, the problem is to route traffic from a set of source nodes t...
We consider requests for capacity in a given tree network T = (V, E) where each edge of the tree has some integer capacity ue. Each request consists of an integer demand df and a ...
Chandra Chekuri, Marcelo Mydlarz, F. Bruce Shepher...
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...