Saturation in a Markovian parking process
成果类型：
Article
署名作者：
Gouet, R; López, FJ
署名单位：
Universidad de Chile; Universidad de Chile; University of Zaragoza
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
2001
页码：
1116-1136
关键词：
摘要：
We consider Z as an infinite lattice street where cars of integer length in greater than or equal to 1 can park. The parking process is described by a 0-1 interacting particle system such that a site Z E if is in state 1 whenever a car has its rear end at z and 0 otherwise. Cars attempt to park after exponential times with parameter lambda, leave after exponential times with parameter 1and are not allowed to touch nor overlap. We define and study a jamming occupation density for this parking process, usingthe quasi-stationary distribution of a Markov chain related to the reversible measure of the particle system. An extension to a strip in Z(2) is also investigated.