Abstract
Our survey naturally could not encompass all the results available in this promising field of the theory of multistream queueing systems. We have attempted to systematize the main computation and optimization methods for MRQ models, highlighting the topical issues of the theory and practice of MRQ. Even this partial survey of work on MRQ leads to the conclusion that the main sources stimulating the development of MRQ theory are the requirements of modern teletraffic theory, and in particular problems that arise in DIQN. Moreover, MRQ provide a generalization of classical multistream models, and their study is thus of independent interest for probability experts. These conclusions are borne out by the publications in recent years, and there is every reason to expect that the next decade will promote MRQ research into one of the central places in the theory of multistream queueing systems.
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