Диссертация (Оценки вероятностных характеристик некоторых нестационарных систем массового обслуживания), страница 10

2017. ñ. 33-34.23. Êîðîòûøåâà, À.Â. Îöåíêè óñòîé÷èâîñòè äëÿ íåñòàöèîíàðíûõ ìàðêîâñêèõìîäåëåé â ñèñòåìàõ ìàññîâîãî îáñëóæèâàíèÿ: äèññ. ... êàíä.ô.-ì. íàóê / À.Â.Êîðîòûøåâà. Âîëîãäà. 2013. 146 ñ.24. Êîðîòûøåâà, À.Â., Êèñåëåâà, Ê.Ì., Ñàòèí, ß.À. Ýðãîäè÷íîñòü è óñòîé÷èâîñòü ñèñòåìû îáñëóæèâàíèÿ ñ îäíèì ñåðâåðîì. - 2015. Çàäà÷è ñîâðåìåííîé èíôîðìàòèêè. Òðóäû Âòîðîé ìîëîäåæíîé íàó÷íîé êîíôåðåíöèè. ñ.297-302.25. Ëîçèíñêèé, Ñ.Ì. Îöåíêà ïîãðåøíîñòè ÷èñëåííîãî èíòåãðèðîâàíèÿ îáûêíîâåííûõ äèôôåðåíöèàëüíûõ óðàâíåíèé / Ñ.Ì. Ëîçèíñêèé // Èçâ. ÂÓ-Çîâ.Ìàòåì.

1958. 5. ñ.52-90.26. Ñàòèí, ß.À. Èññëåäîâàíèå íåêîòîðûõ ñðåäíèõ õàðàêòåðèñòèê ñòîõàñòè÷åñêèõ ìîäåëåé: äèññ. ... êàíä.ô.-ì. íàóê / ß.À. Ñàòèí. Âîëîãäà. 2007. 129ñ.9027. Ñàòèí, ß. À., Çåéôìàí, À. È., Êîðîòûøåâà, À. Â., Øîðãèí, Ñ. ß. Îá îäíîìêëàññå ìàðêîâñêèõ ñèñòåì îáñëóæèâàíèÿ.

Èíôîðìàòèêà è åå ïðèìåíåíèÿ. 2011 5, âûï. 4, 612.28. Ñåìåíîâà, Î.Â., Äóäèí, À.Í. Ñèñòåìà ìàññîâîãî îáñëóæèâàíèÿ M |M |N ñóïðàâëÿåìûì ðåæèìîì îáñëóæèâàíèÿ è êàòàñòðîôè÷åñêèìè ñáîÿìè // Àâòîìàòèêà è âû÷èñëèòåëüíàÿ òåõíèêà. 2007. 6. Ñ. 72-80.29. Ñòåïàíîâ, Ñ.Í., Öèòîâè÷, È.È. Íåêîòîðûå àñïåêòû èññëåäîâàíèÿ ñèñòåìñ ïîâòîðíûìè âûçîâàìè êà÷åñòâåííûìè ìåòîäàìè // Ñá. ¾Ìåòîäû òåîðèèòåëåòðàôèêà â äåöåíòðàëèçîâàííûõ ñèñòåìàõ óïðàâëåíèÿ.

Ì.: Íàóêà. 1986. Ñ.68-90.30. Ñòåïàíîâ, Ñ.Í., Öèòîâè÷, È.È. Êà÷åñòâåííûå ìåòîäû èññëåäîâàíèÿ ñèñòåì ñïîâòîðíûìè âûçîâàìè // Ïðîáëåìû ïåðåäà÷è èíôîðìàöèè. Ò.23. 2. 1987. Ñ.92-112.31. Óøàêîâ, Â.Ã., Óøàêîâ, Í.Ã. Î äëèíå î÷åðåäè â ñèñòåìå îáñëóæèâàíèÿ ñ ýðëàíãîâñêèì âõîäÿùèì ïîòîêîì // Âåñòíèê Ìîñêîâñêîãî óíèâåðñèòåòà. Ò.40,3. 2016. Ñ.

118-122.32. ×åãîäàåâ, À.Â. Ìàòåìàòè÷åñêèå ìîäåëè è ìåòîäû îöåíêè õàðàêòåðèñòèêñòîõàñòè÷åñêèõ ñèñòåì, áëèçêèõ ê ïîãëîùàþùèì: äèññ. ... êàíä.ô.-ì. íàóê/ À.Â. ×åãîäàåâ. Âîëîãäà. 2009. 127 ñ.33. Øòîéÿí, Ä. Êà÷åñòâåííûå ñâîéñòâà è îöåíêè ñòîõàñòè÷åñêèõ ìîäåëåé / Ä.Øòîéÿí. Ì.: Ìèð. 1979.34. Artalejo, J.R. Stationary analysis of the characteristics of the M/M/2 queuewith constant repeated attempts.

Opsearch. 1996. 33, 8395.35. Artalejo, J.R., Gomez-Corral, A.,Neuts, M.F. Analysis of multiserver queueswith constant retrial rate. 2001. European Journal of Operational Research,135, 569581.9136. Avrachenkov, K., Yechiali, U. Retrial networks with nite buers andtheir application to Internet data trac. Probability in the Engineering andInformational Sciences. 2008. 22. P.

519536.37. Avrachenkov, K., Yechiali, U. On tandem blocking queues with a common retrialqueue. Computers and Operations Research. 2010. 37(7). P.11741180.38. Avrachenkov, K., Morozov, E.V. Stability analysis of GI/G/c/K retrial queuewith constant retrial rate. 2014. Math. Meth. Oper. Res., 79, 273291.39. Avrachenkov, K., Nekrasova, E., Morozov, E., Steyaert, B. Stability analysisand simulation of N -class retrial system with constant retrial rates and Poissoninputs. 2014. Asia-Pacic Journal of Operational Research, 31, No.2.40.

Chen, A.Y., Renshaw, E. The M/M/1 queue with mass exodus and mass arriveswhen empty. 1997. J. Appl. Prob.34,pp. 192207.41. Chen, A.Y., Renshaw, E. Markov bulk-arriving queues with state-dependentcontrol at idle time. Adv. Appl. Prob. 36. 2004. P. 49-524.42. Chen, A.Y., Pollet, P., Li, J., Zhang, H. Markovian bulk-arrival and bulk-servicequeues with state-dependent control. Queueing Systems, 64. 2010, P.267-304.43. Ching, Wai-K., Ng, Michael, K. Markov chains: models, algorithms andapplications / Wai-Ki Ching, K.

Michael. International Series in OperationsResearch & Management Science 83. 2006. New York, NY: Springer.44. Choi, B.D., Shin, Y.W., Ahn, W.C. Retrial queues with collision arising fromunslotted CSMA/CD protocol. 1992. Queueing Systems, 11, 335356.45. Choi, B.D., Park, K.K., Pearce, C.E.M.

An M/M/1 retrial queue with controlpolicy and general retrial times. 1993. Queueing Systems, 14, 275292.46. Choi, B.D., Rhee K.H., Park, K.K. The M/G/1 retrial queue with retrialrate control policy. 1993. Probability in the Engineering and InformationalSciences, 7, 2946.9247. Erlang, A. K. Løsning af nogle Problemer fra Sandsynlighedsregningen afBetydning for de automatiske Telefoncentraler. Elektroteknikeren. 1917. 13,513.48. Fayolle, G.

A simple telephone exchange with delayed feedback. In Boxma,O.J., Cohen J.W., and Tijms, H.C. (eds.),Performance Evaluation. 1986. 7,Teletrac Analysis and Computer245253.49. Foss, S.G., Kalashnikov, V.V. Regeneration and renovation in queues / S.G.Foss, V.V. Kalashnikov // Queueing Systems. - 1991. - 8(1). - p. 211-223.50. Fricker, C., Robert, P., Tibi, D.: On the rate of convergence of Erlang's model.J. Appl.

Probab. 1999. 36, 11671184.51. Granovsky, B., Zeifman, A. Nonstationary queues: estimation of the rate ofconvergence. Queueing Syst. 2004. 46, 363388.52. Haln, S., Whitt, W. Heavy-trac limits for queues with many exponentialservers / S. Haln,W. Whitt // Oper. Res.. - 1981. - 29.

- p. 567-588.53. Islam, M.A. A Birth-Death Process Approach to Constructing Multistate LifeTables / M.A. Islam // Bull. Malaysian Math. Sc. Soc. (Second Series). 2003.- 26. - p. 101-108.54. Kartashov, N.V. Strong stable Markov chains / Kartashov N. V. - Kiev: Utrecht,VSP, TBiMC. 1996.55. Kijima, M.: On the largest negative eigenvalue of the innitesimal generatorassociated with M/M/n/n queues. Oper.

Res. Let. 1990. 9, 5964.56. Kiseleva, K., Satin, Ya., Zeifman, I., Korolev, V. On truncations for a retrialqueueing model.// Journal of Mathematical Sciences. 2017. Proceedings ofthe International Seminar on Stability Problems for Stochastic Models. (â ïå÷àòè)57. Kiseleva, K., Satin, Ya., Korotysheva, A., Zeifman A., Korolev, V., Shorgin, S.On the Null Ergodicity Bounds for a Retrial Queueing Model.

2017. AIPConference Proceedings, 1863, 090007; doi: 10.1063/1.4992272.9358. Klimenok, V., Dudin, A. Multi-dimensional asymptotically quasi-ToeplitzMarkov chains and their application in queueing theory / Valentina Klimenok,Alexander Dudin // Queueing Systems. - 2006. - 54.

- p. 245-259.59. Lillo, R.E. A G/M/1 queue with exponential retrial. 1996. TOP, 4, 99120.60. Massey, W. A., Whitt, W.: On analysis of the modied oered-loadapproximation for the nonstationary Erlang loss model. Ann. Appl. Probab. 1994. 4, 11451160.61. Mandelbaum A., Massey W. Strong approximations for time-dependentqueues// Math. Oper. Res. 1995. No.20, p. 33-64.62. Margolius, B.H. The matrices R and G of matrix analytic methods and the timeinhomogeneous periodic Quasi-Birth-and-Death process / // Queueing Systems.- 2008. - 60(1-2). - p. 131-151.63.

Meyn, Sean, P., Robert, L. Tweedie. Computable bounds for geometricconvergence rates of Markov chains / Meyn, Sean P., Robert L. // The Annalsof Applied Probability. - 1994. - p. 981-1011.64. Mitrophanov, A. Stability and exponential convergence of continuous-timeMarkov chains// J. Appl. Probab. 40. 2003. P. 970979.65. Morozov, E. The stability of a non-homogeneous queueing system withregenerative input / Evsei Morozov // Journal of Mathematical Sciences 83.3.- 1997. - p.

407-421.66. Morozov, E. A multiserver retrial queue: regenerative stability analysis / EvseyMorozov // Queueing Systems 56.3-4. - 2007. - p. 157-168.67. Parthasarathy, P. R., Krishna Kumar, B. Density-dependent birth and deathprocesses with state-dependent immigration. 1991. Computer Modelling15,Mathematical andp. 1116.68. Rykov, V. On Markov Reliability Model of a System, Operating in MarkovRandom Environment. XXXI ISSPSM Conference, April. 2013.

PFUR.Moscow. (jointly with Tran Ahn Ngia).9469. Satin, Ya., Zeifman, A., Korotysheva, A. On the rate of convergence andtruncations for a class of Markoviang queueing systems. // Theory. Prob. Appl. 2013. 57, 529-539.70. Satin, Ya., Zeifman, A., Korotysheva, A., Kiseleva, K., Korolev, V. OnTruncations For A Class Of Finite Markovian Queuing Models. 2015. Proceedings 29th European Conference on Modeling and Simulation, ECMS,Varna, Bulgaria.

p. 626-630.71. Satin, Ya., Korotysheva, A., Kiseleva, K., Shilova, G., Fokicheva, E., Zeifman,A., Korolev, V. Two-sided truncations of inhomogeneous birth-death processes. 2016. Proceedings 30th European Conference on Modeling and Simulation,ECMS, Regensburg, Germany, p. 663-668.72. Satin, Ya., Zeifman, A., Korotysheva, A., Kiseleva, K.

Two-Sided Truncationsfor a Class of Continuous-Time Markov Chains. 2017. Springer InternationalPublishing AG 2017 A. Dudin et al. (Eds.): ITMM 2017, CCIS 800. doi:10.1007/978-3-319-68069-9 25, pp. 312323.73. Satin, Ya., Korotysheva, A., Shilova, G., Sipin, A., Fokicheva, E., Kiseleva, K.,Zeifman, A., Korolev, V., Shorgin, S. Two-sided truncations for the Mt |Mt |Squeueing model. 2017. Proceedings 31st European Conference on Modelingand Simulation, ECMS, Budapest, Hungary, p. 635-641.74. Semenova, Î., Dudin, A.N., Karolik, A.V., Maslakova, O.V. Investigation of aBMAP/SM/1 Retrial System with Markovian Arrival Input of Disasters and Noninstantaneous Recovery of the Server // Computer Data Analysis and Modeling(Proceedings of the 6th International Conference). Minsk.

2001. V.1. P. 128 131.75. Stepanov, S.N. Markov Models with Retrials: The Calculation of StationaryPerfomance Measures Based on the Concept of Truncation // Mathematical andComputer Modelling. 1999. 30. P. 207-228.76. Van Doorn, E. A., Zeifman, A.

I.: On the speed of convergence to stationarityof the Erlang loss system. 2009. Queueing Syst. 63, 241252.9577. E. A. Van Doorn, A. I. Zeifman, T. L. Panlova. Bounds and asymptotics forthe rate of convergence of birth-death processes // Th. Prob. Appl. 2010. 54,97113.78. Voit, M.: A note of the rate of convergence to equilibrium for Erlang's model inthe subcritical case. J. Appl. Probab.

2000. 37, 918923.79. Wong, E.W.M., Andrew, L.L.H., Cui, T., Moran, B., Zalesky, A., Tucker,R.S., Zukerman, M. Towards a buerless optical internet. 2009. Journal ofLightwave Technology, 27, 28172833.80. Yao, S., Xue, F., Mukherjee, B., Yoo, S.J.B., Dixit, S. Electrical ingress bueringand trac aggregation for optical packet switching and their eect on TCPlevel performance in optical mesh networks.