带有负顾客的M/M/c单重工作休假排队  

M/M/c queue with negative customers and single working vacation

作　　者：徐祖润[1] 李敏捷[1] 潘全如[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《江苏科技大学学报（自然科学版）》2011年第5期500-504,共5页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：江苏科技大学自然科学基金资助项目(2009SL154J)

摘　　要：考虑服务台在休假期间不是完全停止工作,而是以相对于正常服务期低些的服务率服务顾客的M/M/c工作休假排队模型.在此模型基础上,针对现实的M/M/c排队模型中可能出现的外来干扰因素,提出了带有负顾客的M/M/c工作休假排队这一新的模型.服务规则为先到先服务.工作休假策略为空竭服务异步单重工作休假.抵消原则为负顾客一对一抵消处于正常服务期的正顾客,若系统中无处于正常服务期的正顾客时,到达的负顾客自动消失,负顾客不接受服务.首先,由该单重休假模型得到其拟生灭过程及生成元矩阵,然后运用矩阵几何方法给出系统队长的稳态分布表达式和若干系统指标.Consider a M/M/c queue with vacations such that the servers work with different rates rather than completely terminate service during a vacation period.In order to solve the interfering factors in the M/M/c queue system,the M/M/c queue system with negative customers and working vacations is studied.The serve rule is first-come-first-served.The working vacation policy is exhaustive service and asynchronous single working vacation.Negative customers remove positive customers who are in normal service period only one-by-one（if present）.When a negative customer arrives,if the system is empty or only the customers in the vacation period exist,it will disappear.Negative customers need no services.A quasi-birth-and-death process and infinitesimal generator for the process are obtained from the described model.Moreover,matrix-geometric approach is utilized to obtain the steady-state distributions of queue length and some characteristics of the system.

关 键 词：负顾客 工作休假 矩阵几何方法 稳态分布 

分 类 号：O226[理学—运筹学与控制论]