| 带有止步和中途退出的两阶段服务的M/M/1/N多重休假排队系统 |
| |
| 引用本文： | 李秀菊,岳德权,金燕生.带有止步和中途退出的两阶段服务的M/M/1/N多重休假排队系统[J].黑龙江大学自然科学学报,2012,29(3):345-351. |
| |
| 作者姓名： | 李秀菊 岳德权 金燕生 |
| |
| 作者单位： | 1. 燕山大学里仁学院,秦皇岛,066004
2. 燕山大学理学院,秦皇岛,066004 |
| |
| 摘 要： | 研究一个带有止步和中途退出且具有两阶段服务的M/M/1/N多重休假排队系统。利用马尔可夫过程理论建立了系统稳态概率方程组,并利用分块矩阵解法,得到了稳态概率的矩阵解。然后由此得出了系统的平均队长、平均等待队长和顾客的平均损失率等性能指标。
|
| 关 键 词： | 两阶段服务 止步 中途退出 多重休假 稳态概率 分块矩阵解法 |
The two-phases-service M/M/1/N queuing system with balking,reneging and multiple vacations |
| |
| LI Xiu-ju
,
YUE De-quan
,
JIN Yan-sheng.The two-phases-service M/M/1/N queuing system with balking,reneging and multiple vacations[J].Journal of Natural Science of Heilongjiang University,2012,29(3):345-351. |
| |
| Authors: | LI Xiu-ju YUE De-quan JIN Yan-sheng |
| |
| Institution: | 1.Liren College,Yanshan University,Qinhuangdao 066004,China;2.College of Science,Yanshan University,Qinhuangdao 066004,China) |
| |
| Abstract: | A two-phases-service M/M/1/N queuing system with balking,reneging and multiple vacations is considered.Firstly,a system of equations of steady-state probability was derived by applying the Markov process theory.Then,a matrix form solution of steady-state probability is obtained by using block-matrix method.Finally,some performance measures of the system such as the expected number of customers in the system and in the queue and the average loss rate of the customer were also presented. |
| |
| Keywords: | queueing system balking reneging multiple vacations blocked matrix method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
