The paper proposes analytical models of two types of Multi-RED queues, WRED and RIO-C, serving as droppers in DiffServ networks. Both are scrutinized under two types of configuration of threshold parameters: staggered and overlapped. The proposed analysis uses the M(n)/M/1/K and M(n)/D/1/K queuing models (queuing systems with balking). Additionally, in the case of RIO-C, a Bernoulli scheme is adopted in the model. The models are validated under two types of traffic: ftp-like and web-like. Recommendations on the selection of the most appropriate model are provided.