Empirical analysis and modeling of manual turnpike tollbooths in China

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• 作者：Hao Zhang ^{hao-zhang10@mails.tsinghua.edu.cn}
• 关键词：Tollbooth modeling ; Big-data analysis ; System performance ; MAP/PH/1/FCFSMAP/PH/1/FCFS queue
• 刊名：Mechanical Systems and Signal Processing
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：87
• 期：part_PB
• 页码：184-194
• 全文大小：1016 K
• 卷排序：87

文摘

To deal with low-level of service satisfaction at tollbooths of many turnpikes in China, we conduct an empirical study and use a queueing model to investigate performance measures. In this paper, we collect archived data from six tollbooths of a turnpike in China. Empirical analysis on vehicle׳s time-dependent arrival process and collector׳s time-dependent service time is conducted. It shows that the vehicle arrival process follows a non-homogeneous Poisson process while the collector service time follows a log-normal distribution. Further, we model the process of collecting tolls at tollbooths with MAP/PH/1/FCFSMAP/PH/1/FCFS queue for mathematical tractability and present some numerical examples.