具有二次可选服务的多重休假Geom／G／1离散排队

J4 ›› 2011, Vol. 46 ›› Issue (1): 104-108.

具有二次可选服务的多重休假Geom／G／1离散排队

赵媛,田乃硕,原小娟,靳晓青,宁小虎

燕山大学理学院, 河北秦皇岛 066004

收稿日期:2010-04-22 出版日期:2011-12-14 发布日期:2011-03-16
作者简介:赵媛(1985-),女,硕士研究生,主要从事排队论的研究。Email:19850826zhao@163.com
基金资助:
国家自然科学基金资助项目(10671170)

The Geom／G／1 queue with second optional service and multiple vacation

ZHAO Yuan, TIAN Nai-shuo, YUAN Xiao-juan, JIN Xiao-qing, NING Xiao-hu

College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received:2010-04-22 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

通过引入广义服务时间,用嵌入Markov链的方法研究了具有二次可选服务的多重休假Geom／G／1排队模型,得到了其稳态队长和等待时间分布的母函数,并给出了该模型的两个特例,进一步验证了模型的正确性,最后通过数值例子说明该模型可以较好地模拟一些实际问题。

关键词: 离散时间排队;多重休假;二次可选服务;广义服务时间

Abstract:

By leading into broad sense service time and using the method of imbedded Markov chains, the Geom／G／1 queue with second optional service and multiple vacation was studied. The PGF(probability generating function) of the steady state queue length and waiting time were derived. And then two particular models were given to further verify the correctness of the model. Final, the numerical examples proved that our model could represent some practical problems reasonably.

Key words: discrete-time queues; multiple vacation; second optional service; broad sense service time

赵媛,田乃硕,原小娟,靳晓青,宁小虎. 具有二次可选服务的多重休假Geom／G／1离散排队[J]. J4, 2011, 46(1): 104-108.

ZHAO Yuan, TIAN Nai-shuo, YUAN Xiao-juan, JIN Xiao-qing, NING Xiao-hu. The Geom／G／1 queue with second optional service and multiple vacation[J]. J4, 2011, 46(1): 104-108.

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