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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2011 Issue 3(8), Pages 89–92 (Mi pfmt126)

MATHEMATICS

Application of Jackson’s network to modelling of the warranty service of agricultural techniques

O. V. Yakubovicha, Yu. S. Boyarovicha, Yu. E. Letunovicha, D. E. Voroshilovb

a F.  Skorina Gomel State University, Gomel
b Production Association «Gomselmash», Gomel

Abstract: The paper considers the mathematical model of the warranty service process of «Gomselmash» agricultural techniques provided by regional dealer centers. The service process of åach center is described by a queueing network. The stationary distribution of conditions probabilities of the network and ergodicity conditions are found. Formulas for definition of numerical characteristics of network stationary functioning are received.

Keywords: queueing network, stationary distribution, ergodicity conditions, numerical characteristics.

UDC: 517.2

Received: 30.06.2011



© Steklov Math. Inst. of RAS, 2024