西北师范大学学报（自然科学版）2017，Vol.53Issue(4)：17-22,6.DOI:10.16783/j.cnki.nwnuz.2017.04.004
带不同到达率及负顾客和N-策略的 Geo/Geo/1工作休假排队
Geo/Geo/1 working vacation queue with N-policy , negative customers and different arrival rates
摘要
Abstract
This paper is on the basis of a Geo/Geo/1 queue with multiple working vacations ,in addition to negative customers and N-policy , and for this model , the positive customers have different arrival rates in the normal busy period and working vacation period . Some new conclusions and the improvement of the conclusions in previous literatures are obtained in this new model . The server serves at a lower rate rather than stops service during the vacations , w hich can not only reduce the loss that the impatient customers leave the queue because of waiting in a long time ,but also improve the economical efficiency . The arrived negative customers don't accept service , only remove positive customers at the head one by one , if there is no positive customer in the system , negative customers will disappear automatically . At the end of some vacation ,if the customer numbers in system are not less than N , the system will stop vacation , otherwise ,continues to have vacation . With the consideration of real factors , customers have different arrival rates because of different service rates in the busy period and vacation period . T he equilibrium distribution of the queue length , the stochastic decomposition and the busy period analysis of the queuing system are obtained by using the matrix-analytical method of quasi birth-death chains . Two numerical examples are given to illustrate the impact of parameters on the queue length .关键词
到达率/负顾客/N-策略/工作休假/矩阵几何解/条件随机分解Key words
arrival rate/negative customer/N-policy/working vacation/matrix-geometric solution/stochastic decomposition分类
数理科学引用本文复制引用
王莉,朱翼隽..带不同到达率及负顾客和N-策略的 Geo/Geo/1工作休假排队[J].西北师范大学学报（自然科学版）,2017,53(4):17-22,6.基金项目
国家自然科学基金资助项目(70571030) （70571030）
安徽省自然科学基金资助项目(KJ2013B162) （KJ2013B162）
