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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2007 Volume 7, Number 1-2, Pages 101–107 (Mi dvmg61)

Queueing models with different schemes of customers transformation

G. Sh. Tsitsiashvili, M. A. Osipova

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: This paper is devoted to a calculation of limit distributions in queueing systems and networks with different schemes of customers transformation. Models with customers: group arrival and dislocation, appearance and disappearance, division and aggregation and models with unreliable customers are considered. Product form limit distributions in these models are corollaries of the theorem 1 from [1] and equations of partial balance from [2].

Key words: multiplicative distribution, queueing network, customers transformation.

UDC: 519.217.2

MSC: Primary 60J57; Secondary 60J20

Received: 15.10.2007



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