On bandwidth efficiency of the hose resource management model in virtual private networks

The hose resource provisioning model promises to provide an easy-to-use characterization framework for virtual private network service offerings. Significant research effort has recently been spent on proposing new algorithms for provisioning cost-optimal networks specified according to this new model. However, a detailed comparison of the bandwidth requirement for networks designed based on the hose model and networks designed based on the traditional pipe model has not been performed. The first contribution of this paper is a detailed comparison of the bandwidth needs of the two models assuming a range of network sizes and network topologies. This numerical evaluation required efficient calculation methods for determining resource allocation based on the hose model parameters, therefore, a linear programming based formulation is also presented for this purpose. The second contribution is the calculation of a lower bound for the hose based realization. This lower bound is very useful in evaluating the two models given that the problem of provisioning a minimal cost network based on the hose model specification can only approximately be solved in polynomial time.