| 具有不耐烦顾客和N策略的M/H_k/1排队系统的优化控制 |
| |
| 引用本文： | 陈刚,刘再明,吴锦标.具有不耐烦顾客和N策略的M/H_k/1排队系统的优化控制[J].吉林大学学报(理学版),2015,53(4):658-664. |
| |
| 作者姓名： | 陈刚 刘再明 吴锦标 |
| |
| 作者单位： | 中南大学 数学与统计学院, 长沙 410083 |
| |
| 摘 要： | 应用更新理论和概率母函数(PGF)方法,解决了关于不耐烦顾客和N策略M/HK/1排队系统的优化控制问题,得出了系统平稳状态下顾客队长的PGF和顾客平均等待时间等系统的稳态指标,并分析了系统优化控制的最优参数解.结果表明,该系统模型有利于解决更复杂的管理优化问题.
|
| 关 键 词： | Markov过程 最优控制 k 型负指数分布 队列 不耐烦顾客 |
| 收稿时间： | 2014-06-23 |
Optimal Control of an M/Hk/1 Queueing Systemwith Impatient Customer and N Policy |
| |
| CHEN Gang,LIU Zaiming,WU Jinbiao.Optimal Control of an M/Hk/1 Queueing Systemwith Impatient Customer and N Policy[J].Journal of Jilin University: Sci Ed,2015,53(4):658-664. |
| |
| Authors: | CHEN Gang LIU Zaiming WU Jinbiao |
| |
| Institution: | School of Mathematics and Statistics, Central South University, Changsha 410083, China |
| |
| Abstract: | Based on the renewal theory and PGF techniques, the problem about optimal control of an M/Hk/1 queueing system with impatient customer and N policy was studied. We obtained the PGF of the queue length and the expected waiting time. The solution of the optimal parameter is analyzed. This system is helpful to solving the more complex optimal management problem. |
| |
| Keywords: | Markov process optimal control k-type hyper exponential queue impatient customer |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
