基于排队论的一个物流模型  

Logistics model based on queueing theory

作　　者：吴锦标[1] 刘再明[1] 尹小玲[2] 付延冰[3] 

机构地区：[1]中南大学概率统计研究所,长沙410075 [2]中山大学数学与计算科学学院,广州510275 [3]中南大学交通运输工程学院,长沙410075

出　　处：《系统工程理论与实践》2009年第9期78-83,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60574002);湖南省研究生创新基金(3340-74236000001);中南大学研究生学位论文创新基金(3960-71131100003)

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.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.

关 键 词：随机运筹学 排队论 物流 批到达 批服务 

分 类 号：O122[理学—数学]