N-策略带负顾客的M/M/c部分工作休假排队  

M/M/c queue of partial working vacation with N-policy and negative customer

作　　者：朱翼隽[1] 徐鸿洋[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2013年第3期367-372,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70571030;10571076)

摘　　要：在经典M/M/c排队模型的基础上考虑部分工作休假策略.在休假期,部分服务台并不完全停止服务而是以较正常服务率低的服务率服务新到顾客,其他服务台正常休假.考虑负顾客因素,并且引入N-策略作为休假终止策略.负顾客到达系统时,一对一地抵消处于正常服务期正在接受服务的任意一个正顾客,若系统中无处于正常服务期的正顾客,到达的负顾客自动消失,负顾客不接受服务.1次休假结束时,系统中顾客数大于等于N时结束休假,否则继续休假.利用拟生灭过程和矩阵几何解方法,得到了系统稳态下的队长分布,并且建立了在服务台全忙条件下的随机分解结构.The partial working vacations policy was considered based on conventional M/M/c queue. Du- ring the vacation period, some of servers do not entirely stop service, and service the new customers at a lower service rate, while the other s.ervers stop service with a normal vacation. With the consideration of negative customers, N-policy is introduced as vacation stopping policy. The negative customers only re- move positive customers who are being served at the head of the queue one by one. When there is no po- sitive customer in the system, the arrived negative customers will disappear automatically without service. At the end of a vacation, if the customer numbers in system are not less than N, the system will stop va- cation. Otherwise, the system continues to have vacation. Based on quasi birth and death process and matrix geometric solution, the steady state distribution of queue length was obtained. The conditional sto- chastic decomposition was established for all busy servers.

关 键 词：负顾客 N-策略 部分工作休假 矩阵几何解 条件随机分解 

分 类 号：O226[理学—运筹学与控制论]