Zq. Luo et P. Tseng, ON THE RATE OF CONVERGENCE OF A DISTRIBUTED ASYNCHRONOUS ROUTING ALGORITHM, IEEE transactions on automatic control, 39(5), 1994, pp. 1123-1129
Citations number
24
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
We analyze a distributed asynchronous algorithm, proposed by Tsitsikli
s and Bertsekas, for optimal routing in a virtual-circuit data network
. We show that, under a strict convexity assumption on the link delay
functions, the sequence of routings generated by the algorithm converg
es in the space of path flows and the convergence rate is linear. Our
analysis is based on estimating the distance from a routing to the set
of optimal routings and, for the synchronous case, it gives an explic
it estimate of the convergence ratio in terms of the network parameter
s.