Abstract: The M/M/1 queue of working vacations with setup time Npolicy negative customers was investigated for either ″positive″ or ″negative″ customers. The working vacation policy with Npolicy and setup time is exhaustive and multiple working vocation. The negative customers only remove positive customers who are being served at the head of the queue one by one. When there is no positive customer in the system, the arrived negative customers will disappear automatically without service. Based on quasi birth and death process and matrix geometric solution, the steady state distribution for queue length was obtained. The conditional stochastic decomposition structure of the queue length and the waiting time were proved.
朱翼隽, 刘海燕, 王逢佳. 带启动时间、N策略和负顾客的M/M/1工作休假排队[J]. 江苏大学学报(自然科学版), 2012, 33(5): 616-620.
ZHU Yijuan, LIU Haiyan, WANG Fengjia. M/M/1 queue of working vacations with set-up time N-policy and negative customers[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2012, 33(5): 616-620.