摘要
分析了带休假中断的成批到达的单重工作休假GeoX/Geo/1排队系统.针对具体的系统模型,利用拟生灭过程和迭代方程,得到系统的稳态队长分布,从而得到系统的平均稳态队长以及随机分解结果.利用负二项式分布的性质,讨论了顾客等待时间的上下界,进而求得平均等待时间的上下界.最后进行了数值分析,考察了系统参数变化对平均队长和平均等待时间的影响.
A bulk input Geo^X/Geo/1 queue with single working vacations and vacation interruptions was analyzed. Firstly, using quasi birth and death chain and iteration method, distributions of stationary queue length were obtained, and the stochastic decomposition result for the PGF of the stationary queue size was given. Furthermore, the upper bound and the lower bound of the sojourn time of a customer was discussed with the property of negative binomial, and the PGF was given. Finally, some numerical analyses were carried out. and the narameters＇ effect on the queue length and waiting time was investigated.
出处
《郑州大学学报（理学版）》
CAS
北大核心
2011年第3期1-5,共5页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目
编号10671106
河北省自然科学基金资助项目
编号F2008000864
燕山大学博士基金资助项目
编号B228
