Stability bounds in networks with dynamic link capacities

We address the problem of stability in networks where the link capacities can change dynamically. We show that every network running a greedy scheduling policy is universally stable at any injection rate r<1/(Cd), where d is the largest number of links crossed by any packet and C is the maximum link capacity. We also show that system-wide time priority scheduling policies are universally stable at any injection rate r<1/(C(d−1)).