[Almasi, B., Roszik, J. and Sztrik, J. (2005). Homogeneous finite-source retrial queues with server subject to breakdowns and repairs, Mathematical and Computer Modelling 42(5): 673-682.10.1016/j.mcm.2004.02.046]Search in Google Scholar
[Chen, A., Pollett, P., Li, J. and Zhang, H. (2010). Markovian bulk-arrival and bulk-service queues with state-dependent control, Queueing Systems 64(3): 267-304.10.1007/s11134-009-9162-5]Open DOISearch in Google Scholar
[Daleckij, J. and Krein,M. (1974). Stability of Solutions of Differential Equations in Banach Space, American Mathematical Society, Providence, RI.]Search in Google Scholar
[Doorn, E.V., Zeifman, A. and Panfilova, T. (2010). Bounds and asymptotics for the rate of convergence of birth-death processes, Theory of Probability and Its Applications 54(1): 97-113.10.1137/S0040585X97984097]Search in Google Scholar
[Granovsky, B. and Zeifman, A. (2000). The n-limit of spectral gap of a class of birthdeath Markov chains, Applied Stochastic Models in Business and Industry 16(4): 235-248.10.1002/1526-4025(200010/12)16:4<235::AID-ASMB415>3.0.CO;2-S]Search in Google Scholar
[Granovsky, B. and Zeifman, A. (2004). Nonstationary queues: Estimation of the rate of convergence, Queueing Systems 46(3-4): 363-388.10.1023/B:QUES.0000027991.19758.b4]Open DOISearch in Google Scholar
[Gudkova, I., Korotysheva, A., Zeifman, A., Shilova, G., Korolev, V., Shorgin, S. and Razumchik, R. (2016). Modeling and analyzing licensed shared access operation for 5g network as an inhomogeneous queue with catastrophes, 2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Lisbon, Portugal, pp. 282-287.10.1109/ICUMT.2016.7765372]Search in Google Scholar
[Kamiński, M. (2015). Symbolic computing in probabilistic and stochastic analysis, International Journal of Applied Mathematics and Computer Science 25(4): 961-973, DOI: 10.1515/amcs-2015-0069.10.1515/amcs-2015-0069]Open DOISearch in Google Scholar
[Kartashov, N. (1985). Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space, Theory of Probability and Mathematical Statistics 30(30): 71-89.]Search in Google Scholar
[Kartashov, N. (1996). Strong Stable Markov Chains, VSP, Utrecht. Kim, C., Dudin, A., Dudin, S. and Dudina, O. (2014). Analysis of an MMAP/PH1, PH2/N/∞ queueing system operating in a random environment, International Journal of Applied Mathematics and Computer Science 24(3): 485-501, DOI: 10.2478/amcs-2014-0036.10.2478/amcs-2014-0036]Open DOISearch in Google Scholar
[Li, J. and Zhang, L. (2016). Decay property of stopped Markovian bulk-arriving queues with c-servers, Stochastic Models 32(4): 674-686.10.1080/15326349.2016.1196374]Search in Google Scholar
[Mitrophanov, A. (2003). Stability and exponential convergence of continuous-time Markov chains, Journal of Applied Probability 40(4): 970-979.10.1239/jap/1067436094]Open DOISearch in Google Scholar
[Mitrophanov, A. (2004). The spectral GAP and perturbation bounds for reversible continuous-time Markov chains, Journal of Applied Probability 41(4): 1219-1222.10.1239/jap/1101840568]Open DOISearch in Google Scholar
[Mitrophanov, A. (2005a). Ergodicity coefficient and perturbation bounds for continuous-time Markov chains, Mathematical Inequalities & Applications 8(1): 159-168.10.7153/mia-08-15]Open DOISearch in Google Scholar
[Mitrophanov, A. (2005b). Sensitivity and convergence of uniformly ergodic Markov chains, Journal of Applied Probability 42(4): 1003-1014.10.1239/jap/1134587812]Open DOISearch in Google Scholar
[Moiseev, A. and Nazarov, A. (2016a). Queueing network MAP − (GI/∞)K with high-rate arrivals, European Journal of Operational Research 254(1): 161-168.10.1016/j.ejor.2016.04.011]Search in Google Scholar
[Moiseev, A. and Nazarov, A. (2016b). Tandem of infinite-server queues with Markovian arrival process, Distributed Computer and Communication Networks: 18th International Conference, DCCN 2015, Moscow, Russia, pp. 323-333.10.1007/978-3-319-30843-2_34]Search in Google Scholar
[Nelson, R., Towsley, D. and Tantawi, A. (1987). Performance analysis of parallel processing systems, ACM SIGMETRICS Performance Evaluation Review 15(1): 93-94.10.1145/29904.29916]Search in Google Scholar
[Satin, Y., Zeifman, A. and Korotysheva, A. (2013). On the rate of convergence and truncations for a class of Markovian queueing systems, Theory of Probability&Its Applications 57(3): 529-539.10.1137/S0040585X97986151]Search in Google Scholar
[Schwarz, J., Selinka, G. and Stolletz, R. (2016). Performance analysis of time-dependent queueing systems: Survey and classification, Omega 63: 170-189.10.1016/j.omega.2015.10.013]Search in Google Scholar
[Whitt, W. (1991). The pointwise stationary approximation for Mt/Mt/s queues is asymptotically correct as the rates increase, Management Science 37(3): 307-314.10.1287/mnsc.37.3.307]Open DOISearch in Google Scholar
[Whitt, W. (2015). Stabilizing performance in a single-server queue with time-varying arrival rate, Queueing Systems 81(4): 341-378.10.1007/s11134-015-9462-x]Search in Google Scholar
[Zeifman, A. (1995a). On the estimation of probabilities for birth and death processes, Journal of Applied Probability 32(3): 623-634.10.2307/3215117]Open DOISearch in Google Scholar
[Zeifman, A. (1995b). Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes, Stochastic Processes and Their Applications 59(1): 157-173.10.1016/0304-4149(95)00028-6]Search in Google Scholar
[Zeifman, A. and Korolev, V. (2014). On perturbation bounds for continuous-time Markov chains, Statistics & Probability Letters 88: 66-72.10.1016/j.spl.2014.01.031]Open DOISearch in Google Scholar
[Zeifman, A. and Korolev, V. (2015). Two-sided bounds on the rate of convergence for continuous-time finite inhomogeneous Markov chains, Statistics & Probability Letters 103: 30-36.10.1016/j.spl.2015.04.013]Search in Google Scholar
[Zeifman, A., Korolev, V., Satin, Y., Korotysheva, A. and Bening, V. (2014a). Perturbation bounds and truncations for a class of Markovian queues, Queueing Systems 76(2): 205-221.10.1007/s11134-013-9388-0]Open DOISearch in Google Scholar
[Zeifman, A., Korotysheva, A., Korolev, V. and Satin, Y. (2016a). Truncation bounds for approximations of inhomogeneous continuous-time Markov chains, Probability Theory and Its Applications 61(3): 563-569, (in Russian).10.1137/S0040585X97T988320]Search in Google Scholar
[Zeifman, A., Korotysheva, A., Satin, Y., Shilova, G., Razumchik, R., Korolev, V. and Shorgin, S. (2016b). Uniform in time bounds for “no-wait” probability in queues of Mt/Mt/S type, Proceedings of the 30th European Conference on Modelling and Simulation, ECMS 2016, Regensburg, Germany, pp. 676-684.10.7148/2016-0676]Search in Google Scholar
[Zeifman, A., Leorato, S., Orsingher, E., Satin, Y. and Shilova, G. (2006). Some universal limits for nonhomogeneous birth and death processes, Queueing Systems 52(2): 139-151.10.1007/s11134-006-4353-9]Open DOISearch in Google Scholar
[Zeifman, A., Satin, Y., Korolev, V. and Shorgin, S. (2014b). n truncations for weakly ergodic inhomogeneous birth and death processes, International Journal of Applied Mathematics and Computer Science 24(3): 503-518, DOI: 10.2478/amcs-2014-0037.10.2478/amcs-2014-0037]Open DOISearch in Google Scholar
[Zeifman, A., Satin, Y. and Panfilova, T. (2013). Limiting characteristics for finite birthdeath-catastrophe processes, Mathematical Biosciences 245(1): 96-102.10.1016/j.mbs.2013.02.00923458510]Search in Google Scholar