Abstract
In this article, we give the Laplace transform of the first passage times of reflected Ornstein-Uhlenbeck process with two-sided barriers.
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References
S. Asmussen, Applied Probability and Queues, 2nd edn. (Springer, Berlin, 2003).
M. Harrison, Brownian Motion and Stochastic Flow Systems. (John Wiley & Sons, New York, 1986).
P. Lions and A. Sznitman, Stochastic differential equations with reflecting boundary conditions. Comm. Pure Appl. Math. 37 (1984) 511–537.
A. Ward and P. Glynn, A diffusion approximation for Markovian queue with reneging. Queueing Systems 43 (2003) 103–128.
A. Ward and P. Glynn, Properties of the reflected Ornstein-Uhlenbeck process. Queueing Systems 44 (2003) 109–123.
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AMS Subject Classifications 60H10 · 60G40 · 90B05
Supported by NSF of China.
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Bo, L., Zhang, L. & Wang, Y. On the first passage times of reflected O-U processes with two-sided barriers. Queueing Syst 54, 313–316 (2006). https://doi.org/10.1007/s11134-006-0303-9
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DOI: https://doi.org/10.1007/s11134-006-0303-9