摘要
在一般批量到达排队模型的基础上,通过运用补充变量的方法构造向量马氏过程,考虑了具有不同到达率且带N控制策略的批量到达排队系统 在此模型中,顾客的到达不是依据固定的到达率来进行,而是与服务员的状态(空闲、忙期)有关 在给出了系统队长分布和顾客在离去时刻点系统队长分布的同时,也给出了忙期内到达顾客的条件等待时间。
According to the theory of bulk arrival queue, the arrival process is modified and the supplementary variable method to an M~[X])/G/1 queue under N control policy is used. The case when the arrival rate varies according to the server's status is considered: idle or busy states. The distribution function of the steady-state queue length, the PGF of the departure point system size distribution, the LST of the waiting time in the queue by conditioning at busy period, as well as the distribution of idle period and its expectation are presented respectively.
出处
《江苏大学学报（自然科学版）》
EI
CAS
2004年第2期145-148,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)
江苏省教育厅基金资助项目(00KJT11003)
关键词
排队模型
N策略
批量到达
到达率
queueing model
N-policy
bulk arrive
arrival rate
