Fair resource allocation in Ad Hoc networks in the presence of delay

In this paper, the problem of resource allocation at an Ad hoc network with nodes not using any infrastructure to cooperate with each other is considered. By using a simple interference model in wireless links, the convergence and stability of a fair resource allocation scheme in the absence of delay is investigated. Also, the local stability of the scheme in the presence of upper-bounded delay is verified. Simulations results illustrate the convergence and fairness of this scheme considering different initial states for different sources. The performance of the scheme in the presence of different disturbances for each flow in transient and steady state along with its local stability in the presence of upper-bounded delay is also examined.