A distributed algorithm for delay-constrained unicast routing

We study the NP-hard delay-constrained least-cost path problem, and propose a simple, distributed heuristic solution: the delay-constrained unicast routing (DCUR) algorithm. The DCUR requires limited network state information to be kept at each node: a cost vector and a delay vector. We prove the DCUR's correctness by showing that it is always capable of constructing a loop-free delay-constrained path within finite time, if such a path exists. The worst case message complexity of the DCUR is O(|V|/sup 3/) messages, where |V| is the number of nodes. However simulation results show that, on average, the DCUR requires much fewer messages. Therefore, the DCUR scales well to large networks. We also use simulation to compare the DCUR to the optimal algorithm, and to the least-delay path algorithm. Our results show that the DCUR's path costs are within 10% from those of the optimal solution.