带有止步和状态相依的M／Hk／1多重休假排队

J4 ›› 2010, Vol. 45 ›› Issue (5): 89-94.

带有止步和状态相依的M／Hk／1多重休假排队

田瑞玲,岳德权,胡林敏

燕山大学理学院, 河北秦皇岛 066004

收稿日期:2009-06-21 出版日期:2010-05-16 发布日期:2010-05-24
作者简介:田瑞玲(1979-),女,讲师,博士研究生，主要研究方向为排队论.Email: tianrl@yahoo.cn
基金资助:
国家自然科学基金资助项目(70671088)

M／Hk／1 Queue with balking, state-dependent and multiple vacations

TIAN Rui-ling, YUE De-quan, HU Lin-min

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

Received:2009-06-21 Online:2010-05-16 Published:2010-05-24

摘要/Abstract

摘要：

建立了一个带有止步和状态相依的M／Hk／1多重休假排队模型,通过拟生灭过程的方法求出了系统稳态平衡条件和稳态概率向量的矩阵几何解,并给出了系统的一些性能指标和数值结果。

关键词: 排队系统;休假;止步;状态相依;稳态概率

Abstract:

An M／Hk／1 queuing model was considered with balking, state-dependent and multiple vacations. Using the quasi-birth-and-death process method, the equilibrium condition of the system and the matrix-geometric solution of the steady-state probability vectors were derived. Some performance measures of the system and numerical results were also obtained.

Key words: queuing system; vacation; balking; state-dependent; steady-state probability

田瑞玲,岳德权,胡林敏. 带有止步和状态相依的M／Hk／1多重休假排队[J]. J4, 2010, 45(5): 89-94.

TIAN Rui-ling, YUE De-quan, HU Lin-min. M／Hk／1 Queue with balking, state-dependent and multiple vacations[J]. J4, 2010, 45(5): 89-94.

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