Abstract
Results on stability conditions of typical retrial queuing for nonexponential distribution of orbit time are reviewed.
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REFERENCES
P. P. Bocharov and A. A. Pechinkin, Queuing Theory [in Russian], Izd. Ros. Univ. Druzhby Narodov, Moscow (1995).
G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapman & Hall, London (1997).
G. I. Falin, “A survey on retrial queues,” Queues Systems, 5, 127–167 (1990).
D. Yu. Kuznetsov and A. A. Nazarov, Adaptive Networks of Random Access [in Russian], Del’taplan, Tomsk (2002).
S. N. Stepanov, Numerical Methods of the Analysis of Repeated Call Systems [in Russian], Nauka, Moscow (1983).
V. G. Kulkarni and H. M. Liang, “Retrial queues revisited,” in: J. H. Dshalalow (ed.), Frontiers in Queueing, CRC Press, Boca Raton (1997), pp. 19–34.
A. N. Dudin and V. I. Klinemok, Queuing Systems with Correlated Flows [in Russian], BGU, Minsk (2000).
B. V. Gnedenko and I. N. Kovalenko, An Introduction to Queuing Theory [in Russian], Nauka, Moscow (1987).
E. Altman and A. A. Borovkov, “On the stability of retrial queues,” Baltzer Journals, No. 3, 1–19 (1997).
L. Lakatos, “On a simple continuous cyclic-waiting problem,” Ann. Univ. Sci., No. 14, 105–113 (1994).
L. Lakatos, “On a cyclic-waiting queueing problem,” Theory Stoch. Proc., No. 2(18), 176–180 (1996).
L. Lakatos, “On a discrete cyclic-waiting queueing problem,” J. Math. Sci., No. 4(92), 4031–4034 (1998).
E. V. Koba, “On a FIFO queuing system with repetition of requests,” Dokl. NAN Ukrainy, No. 6, 101–103 (2000).
O.V. Koba, “On a retrial queueing system with a FIFO queueing discipline,” Theory Stoch. Proc., No. 8, 201–207 (2002).
E. V. Koba, “The ergodicity condition for the generalized Lakatosh model,” Dokl. NAN Ukrainy, No. 11, 70–74 (2004).
O. V. Koba and I. M. Kovalenko, “The ergodicity condition for a retrial system with a non-lattice distribution of a cycle on an orbit,” Dop. NAN Ukrainy, No. 8, 70–77 (2004).
L. G. Afanas’eva, “On the ergodicity condition for retrial queues,” Proc. VNIISI Semin. on the Stability of Stochastic Systems [in Russian], Moscow (1991), pp. 3–8.
O. V. Koba, “The stability condition for a GI/G/1 queuing system with T-retrial of requests,” Syst. Doslidzh. ta Inform. Tekhnol., No. 1, 43–47 (2005).
O. V. Koba, “The sufficient stability condition for a GI/G/m queuing system with T-retrial and priority in a request delay,” Dop. NAN Ukrainy, No. 9, 65–70 (2004).
I. N. Kovalenko and E. V. Koba, “Three retrial queues reflecting some peculiarities of aircraft landing,” Probl. Upravl. Inform., No. 2, 78–82 (2002).
A. A. Borovkov, Probabilistic Processes in Queuing Theory [in Russian], Nauka, Moscow (1972).
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 124–127, January–February 2005.
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Koba, E.V. Stability Conditions for Some Typical Retrial Queues. Cybern Syst Anal 41, 100–103 (2005). https://doi.org/10.1007/s10559-005-0044-5
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DOI: https://doi.org/10.1007/s10559-005-0044-5