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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,Weiss[13]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Weiss[13]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:2005-11-17

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!
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