The paper focuses on giving the first in the literature numerical evidence that the stationary performance characteristics of single-server queues with the general renovation mechanism may be as good as of single-server queues with the RED-type active queue management mechanisms (AQM). Comparison is made in the queueing theory context: the basic model is the M/D/1/N queue. The characteristics reported are: the loss ratio, average system size, and average number of consecutive losses along with the standard deviations. Numerical results are based on the well-known facts and some new analytic results, presented in the paper. © 2018 Federal Research Center "Computer Science and Control" of Russian Academy of Sciences. All Rights Reserved.