| 带有无限到达源的Re-entrant Line的稳定性 |
| |
| 引用本文： | 郭永江,张汉勤.带有无限到达源的Re-entrant Line的稳定性[J].运筹学学报,2006,10(2):75-85. |
| |
| 作者姓名： | 郭永江 张汉勤 |
| |
| 作者单位： | 中国科学院数学与系统科学研究所 |
| |
| 摘 要： | 用Foster判别准则,Weiss13]给出了带有无限到达源的两站三步re-entrant line的稳定性的充分条件．本文用两种不同的方法得到了其稳定性的充分必要条件,即: 二维随机游动方法和Foster判别准则．同时,我们又用流体模型方法得到了系统稳定的充分条件,大大地简化了Weiss13]的证明．
|
| 关 键 词： | 运筹学 Re-entrant line 无限到达源 稳定性 强占静态优先权服务规则 二维随机游动方法 Foster判别准则 流体模型 |
| 收稿时间： | 2005-11-17 |
| 修稿时间： | 2005年11月17 |
On the Stability of a Simple Re-entrant Line with Infinite Supply |
| |
| Guo Yongjiang,Zhang Hanqin.On the Stability of a Simple Re-entrant Line with Infinite Supply[J].OR Transactions,2006,10(2):75-85. |
| |
| Authors: | Guo Yongjiang Zhang Hanqin |
| |
| Abstract: | A sufficient condition for the stability of the two-station and three-processing-step re-entrant line with infinite supply is established in Weiss 13] by the Foster criterion. In this paper, we obtain the sufficient and necessary condition for the stability by two different approaches, namely, two-dimensional random walk approach and the Foster criterion approach. At the same time, using the fluid model approach, we present a simple proof of the sufficient condition given by Weiss 13]. |
| |
| Keywords: | Operation research re-entrant line infinite supply stability preemptive resume discipline two dimension random walk the Foster criterion fluid model |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
