Distributed asynchronous optimal routing in data networks
John N. Tsitsiklis, Dimitri P. Bertsekas · IEEE Transactions on Automatic Control · 1986
In this paper we study the performance of a class of distributed optimal routing algorithms of the gradient projection type under weaker and more realistic assumptions than those considered thus far. In particular, we show convergence to an optimal routing without assuming synchronization of computation at all nodes and measurement of link lengths at all links, while taking into account the possibility of link flow transients caused by routing updates. This demonstrates the robustness of these algorithms in a realistic distributed operating environment.