  Multi-resource fair allocation has beena hot topic of resource allocation.
Most recently, a dynamic dominant resource fairness (DRF) mechanism is proposed
for dynamic multi-resource fair allocation. In this paper, we prove that the
competitive ratio of the dynamic DRF mechanism is the reciprocal of the number
of resource types, for two different objectives. Moreover, we develop a
linear-time algorithm to find a dynamic DRF solution at each step.
