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

PFMT, 2021 Issue 1(46), Pages 62–64 (Mi pfmt768)

MATHEMATICS

Quasi-reversibility of Jackson's networks with exponential constraint on the sojourn time of claims

Yu. V. Malinkovskii, V. A. Niamilastsivaya

F. Scorina Gomel State University

Abstract: Outbound flows are investigated using the reveresе time procedure for an exponential queuing network containing knots of two types – single-line and multi-line. The sojourn time at the knots of network is limited by an exponential random variable for a fixed number of claims in the knot. The quasi-reversibility of the Markov network process is established.

Keywords: queuing network, single-line and multi-line knots, limited sojourn time, reverse time, quasi-reversibility.

UDC: 519.2

Received: 16.02.2021



© Steklov Math. Inst. of RAS, 2024