On the Survivable Network Design Problem

As the fiber optic technology is rapidly being deployed in telecommunication networks, particular emphasis is placed on the survivability in designing networks. Most of the survivable network design models proposed to date have connectivity constraints, which cannot precisely define a network topology owing to the multiplicity of feasible ones. In this paper, we propose a k-link survivable network design model incorporating traffic-based survivability constraints which restrict the lost traffic due to a network failure under a prescribed level. Our model is shown to include the existing connectivity models as special cases. Then we present its integer programming formulation, analyze the structural properties, and develop a heuristic for obtaining low cost survivable networks.