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Derivation of Kolmogorov-Chapman type equations with Fokker-Planck operator. (Russian. English summary) Zbl 1446.05002
Summary: In this paper we obtain the differential equation of the type Kolmogorov-Chapman with differential operator of the Fokker-Planck, having theoretical and practical value in the differential equations theory. Equations concerning non-stationary and stationary characteristics of the number of applications obtained for a class of Queuing systems (QS) with an infinite storage device, one service device with exponential service, the input of which is supplied twice stochastic a Poisson flow whose intensity is a random diffusion process with springy boundaries and a non-zero drift coefficient. Service systems with diffusion intensity of the input flow are used for modeling of global computer networks nodes.
05-04 Software, source code, etc. for problems pertaining to combinatorics
34A35 Ordinary differential equations of infinite order
Full Text: MNR
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