Abstract : We try to design a robust multihop radio network, which satis es bandwidth requests of customers nodes from sources nodes. Links are made with directional antennas. We distinguish 4 constraints: every link between two nodes has a maximal bandwidth; a customer must be situated at a bounded distance from a source; no more than k antennas can be installed on a node; if a link falls out of order, customer nodes still have to be connected to the network. The objective is to minimize the number of links. We propose two approaches to solve this problem and compare them in term of running time.
