Kruglikov, V. K.; Tarasov, V. N. Analysis and calculation of queueing networks using the two-dimensional diffusion approximation. (English. Russian original) Zbl 0531.90034 Autom. Remote Control 44, 1026-1034 (1983); translation from Avtom. Telemekh. 1983, No. 8, 74-83 (1983). Summary: A new approach to the diffusion approximation of a queueing system is discussed, and an approximate procedure is described for calculating the characteristics of an open network on the basis of this approach. For one class of two-parameter probability distributions of the interarrival and service times, the approximation does not have a methodological error. Cited in 2 Documents MSC: 90B22 Queues and service in operations research 60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.) 65C99 Probabilistic methods, stochastic differential equations 90B10 Deterministic network models in operations research 60K25 Queueing theory (aspects of probability theory) Keywords:two-dimensional diffusion approximation of a queueing system; interarrival times; approximate calculation of probabilistic characteristics; open network; two-parameter probability distributions; service times PDFBibTeX XMLCite \textit{V. K. Kruglikov} and \textit{V. N. Tarasov}, Autom. Remote Control 44, 1026--1034 (1983; Zbl 0531.90034); translation from Avtom. Telemekh. 1983, No. 8, 74--83 (1983)