Far Eastern Mathematical Journal

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Transition phenomena in unity of renewal systems with total reserve

G. Sh. Tsitsiashvili, N. V. Markova

2001, issue 2, P. 106–114

Abstract

This paper is devoted to research of cointeraction in unity of renewal systems with total reserve. Phenomenon of phase transition in this cointeraction have been described. Fact of cointeraction and its quantitative estimate have been found. Results of this paper are closely connected with renewal systems reliability which is widely used in telecommunication and computer networks and in other technical systems.

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References

[1] G. Sh. Ciciashvili, “Kommutacionnoe svojstvo sistemy rezervirovaniya s vosstanovleniem”, Teoriya veroyatnostej i ee primeneniya, XXXVI:4 (1991), 817. [2] G. Sh. Tsitsiashvili, “Quantitative evaluation of decomposition effects of complex systems”, Advances in Modelling and Analysis, 47:1 (1995), 27–30. [3] G. Sh. Ciciashvili, “Kollektivnoe straxovanie bol'shix riskov”, DAN, 368:6 (1999), 749–750.

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