【摘要】 利用排队论研究了一个物流模型.货物到达货运站形成一复合泊松过程.每辆货车每次装载货物数量必须刚好为N.求得了系统稳态存在的充分必要条件,利用补充变量法求得了任意时刻货运站内的平均货物量以及货车刚到达货运站时货运站内待运的平均货物量.最后给出了一个数值实例.更多还原

【Abstract】 We consider a logistics model based on queueing theory.The freights arrive to the freight terminal according to a compound Poisson process.A freight vehicle must carry just N pieces of freights at a time. For this model,the necessary and sufficient condition for the system stability is obtained.We derive the mean amounts of freights at a random epoch as well as at a freight vehicle arrival epoch with the method of supplementary variables.At last we give a numerical example.更多还原