Markovian model and analysis of a PRT 2‐berth station
作者:
Takashi Nakamura,
Masahito Kurihara,
Ikuo Kaji,
Tadaaki Yoneyama,
期刊:
Electronics and Communications in Japan (Part I: Communications)
(WILEY Available online 1986)
卷期:
Volume 69,
issue 1
页码: 19-27
ISSN:8756-6621
年代: 1986
DOI:10.1002/ecja.4410690103
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractVehicle behavior of a PRT (Personal Rapid Transit system) multiberth station has already been analyzed as a continuous time system under the assumption of Poisson vehicle arrival and exponential passenger loading and unloading time [2]. However, it is more realistic to model it as a discrete time system considering a widely used point‐follower control. Thereby a general passenger loading and unloading time can be easily treated. An off‐line station with two berths in PRT, in which vehicles move on a guideway under point‐follower control, is modeled and analyzed as a discrete‐time Markov chain in this paper. The state quantity is defined based on the physical state of two berths at the arrival instance of a cell. First it is shown that the inter‐entrance time can be calculated numerically for a general passenger loading and unloading time. Then, several measures of the station behavior such as mean inter‐entrance time, entrance frequency and entrance factor are analytically obtained for the case of fixed passenger loading and unloading time, the opposite of the exponential distribution. The differences between two berths and one berth are discussed by showing numeric
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