Diffusion local time storage

[摘要] In this paper we study a storage process or a liquid queue in which the input process is the local time of a positively recurrent stationary diffusion in stationary state and the potential output takes place with a constant deterministic rate. For this storage process we find its stationary distribution and compute the joint distribution of the starting and ending times of the busy and idle periods. This work completes and extends to a more general setting the results of Mannersalo et al. [Queueing Systems 46 (2004) 557]. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[关键词] Brownian motion with drift;busy periods;idle periods;diffusion processes;palm probability;spectrally positive Levy processes