具有负顾客的GI/M/1休假排队模型  

GI/M/1 queueing systems with negative customers and vacations

作　　者：朱翼隽[1] 陈燕[1] 胡波[2] 

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]常州市青龙中学,江苏常州213000

出　　处：《江苏大学学报（自然科学版）》2004年第4期315-318,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK97047)

摘　　要：在Neuts提出的"矩阵几何解"的基础上,针对GI/M/1排队模型中可能出现的干扰因素,提出了研究具有负顾客的GI/M/1休假排队这一模型.其中服务规则为先到先服务,休假策略为空竭服务多重休假,负顾客一对一地抵消队尾的正顾客(若有),由矩阵几何解方法成功求得了稳态队长分布的概率母函数的表达式,并对所得结果进行了推广.To solve the interfering factors taken place in the GI/M/1 queueing systems, the GI/M/1 queueing systems with negative customers and vacations are studied based on the “Matrix-Geometric (solutions”) method proposed by Neuts(1981). The serve rules are First Come First Served, exhaustive service and multiple vacations, and removal of customers one by one at the tail. By “Matrix-(Geometric solutions”)method, Queue’s general generating function is obtained, and a generalization is made in the end.

关 键 词：休假 负顾客 排队 矩阵几何解 母函数 

分 类 号：O226[理学—运筹学与控制论]