References
- Anderson, D.; Blom, J.; Mandjes, M.; Thorsdottir, H.; de Turck, K. A functional central limit theorem for a Markov-modulated infinite-server queue. Methodology and Computing in Applied Probability (in press).
- Asmussen, S. Applied Probability and Queues, 2nd edition; Springer: New York, 2003.
- Bean, N.; O’Reilly, M. A stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself. Stochastic Proc. Appl. 2014, 124, 1741–1772.
- Blom, J.; de Turck, K.; Mandjes, M. Analysis of Markov-modulated infinite-server queues in the central-limit regime. Probab. Eng. Info. Sci. 2015, 29, 433–459. (A short version has appeared in: Proceedings ASMTA 2013, Ghent, Belgium. Lecture Notes in Computer Science (LNCS) Series, Vol. 7984, 81–95.)
- Blom, J.; de Turck, K.; Mandjes, M. Rare-event analysis of Markov-modulated infinite-server queues: A Poisson limit. Stochastic Models 2013, 29, 463–474.
- Blom, J.; Kella, O.; Mandjes, M.; Thorsdottir, H. Markov-modulated infinite-server queues with general service times. Queueing Syst. 2013, 76, 403–424.
- Blom, J.; Kella, O.; Mandjes, M.; de Turck, K. Tail asymptotics of a Markov-modulated infinite-server queue. Queueing Syst. 2014, 78, 337–357.
- Blom, J.; Mandjes, M. A large-deviations analysis of Markov-modulated infinite-server queues. Oper. Research Letters 2012, 41, 220–225.
- Bright, L.; Taylor, P. Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes. Stochastic Models 1995, 11, 497–526.
- Coolen-Schrijner, P.; van Doorn, E. The deviation matrix of a continuous-time Markov chain. Probab. Eng. Infor. Sci. 2002, 16, 351–366.
- D’Auria, B. M/M/∞ queues in semi-Markovian random environment. Queue. Syst. 2008, 58, 221–237.
- Huang, G.; Jansen, H. M.; Mandjes, M.; Spreij, P.; de Turck, K. Markov-modulated Ornstein-Uhlenbeck processes. J. Appl. Probab. (in press).
- Latouche, G.; Ramaswami, V. Introduction to Matrix Analytic Methods in Stochastic Modelling. ASA/SIAM Series on Statistics and Applied Probability; Philadelphia PA, 1999.
- O’Cinneide, C.; Purdue, P. The M/M/∞ queue in a random environment. J. Appl. Probab. 1986, 23, 175–184.
- Neuts, M. Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach; Courier Dover: New York, 1981.
- Ramaswami, V.; Taylor, P.G. Some properties of the rate matrices in level dependent quasi-birth-and-death processes with a countable number of phases. Stochastic Models 1996, 12, 143–164.
- Schwabe, A.; Rybakova, K.; Bruggeman, F. Transcription stochasticity of complex gene regulation models. Biophysical Journal 2012, 103, 1152–1161.