基于排队论的双渡口车辆高峰期船舶调度的研究  

Ship Scheduling of Dual-Ferry Crossing in Traffic Peak Period Based on Queuing Theory

作　　者：方景芳[1] 陈家伟 叶波 刘军[1] FANG Jing-fang;CHEN Jia-wei;YE Bo;LIU Jun(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学机电工程学院

出　　处：《包装工程》2019年第23期218-222,共5页Packaging Engineering

基　　金：国家自然科学基金（71861025）

摘　　要：目的针对车流量达到高峰期时,制定更加高效、低成本的双渡口船舶渡运方案。方法对在高峰期时的双渡口待渡车辆的排队特点进行分析,结合排队论中批处理的M/Mr/1系统的分析方法,确定了船舶装载量与车辆排队长的理论关系。结果以某汽渡企业的实际渡运情况,针对船舶装载量Mi=21,22,24,27,29,30的情况和船舶到达时间间隔TAi^i-1=6.7,7.1,7.6,9.3,9.9,15.1的情况,分别计算了理论的排队长L,并采用统计学方法,判断出船只的装载量Mi对于待渡车辆的排队长L具有显著影响(P<0.05),并拟合了队长和船舶载重的函数关系曲线。结论在服务强度为0.9的情况下,结合船舶的渡运成本,在排队系统的到达率λ1为每分钟2辆时,用载重量为16辆车的渡运船只,以3.2 min的到岸时间间隔,即可满足高峰期的渡运需求。The paper aims to formulate a more efficient and low-cost dual-ferry ship scheme during the peak period of traffic flow.Through analysis on the queuing characteristics of waiting vehicles during rush hours,combining with a formula in batch processing of the M/Mr/1 queuing system of the queuing theory,the theoretical relationship between the loading capacity of ship and the queue length of cars theoretically.Under the actual situation of a ferry enterprise,the queue length L was calculated respectively in the case of Mi=21,22,24,27,29,30 and TAi^i-1=6.7,7.1,7.6,9.3,9.9 and 15.1.After using the statistical method,it can be find that Mi had a significant influence on the queue length L for waiting vehicles(results of the statistical analysis:P<0.05),and the functional relation curve between the queue length and the ship's load was fitted.Under the condition of setting service intensity of 0.9,and combine with the cost of ferry,when the arrival rate of the queue systemλ1=2 vehicles/minute,ferry ship with the loading capacity of 16 cars can meet the ferry demand during peak period with a 3.2 minute arrival time interval.

关 键 词：船舶调度 高峰期 M/Mr/1系统 排队长 

分 类 号：O22[理学—运筹学与控制论]