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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.

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)
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