Routers in a communications network mark packets of a multi-priority stream to establish a drop precedence of the packets during network congestion. For each packet received, a router employs one of two types of packet-marking mechanisms to associate low drop precedence with a high-priority, out-of-profile packet. One type, called “token bucket with loan bucket,” uses a token bucket to determine whether a packet is in conformance, i.e., in-profile, with a traffic profile and at least one loan bucket to determine whether a high priority, out-of-profile packet may borrow bandwidth. Another mechanism type, called “token bucket with color-exchange queue,” uses a color-exchange queue to delay packet forwarding for a fixed period. During this delay, a high-drop-precedence marking of an out-of-profile, high-priority packet may be exchanged with a low-drop-precedence marking of an in-profile, low-priority packet. The packet-marking mechanisms are useful in improving the quality of video viewing.