Transient Markov arrival processes

• 成果类型: Article
• 署名作者: Latouche, G; Remiche, MA; Taylor, P
• 署名单位: Universite Libre de Bruxelles; Universite Libre de Bruxelles; University of Melbourne
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2003
• 页码: 628-640
• 关键词: phase-type

摘要

We define the family of transient Markov arrival processes (transient MAPS) which combine features of transient (or terminating) renewal processes and of the well-known MAPS: transient MAPS are point processes on the line, controlled by a finite Markov chain, which almost surely comprise a finite number of points. We analyze their basic properties.