期刊文献+

一类可靠性模型的适定性(英文) 被引量:2

Well-Posedness of a Reliability Model
在线阅读 下载PDF
导出
摘要 研究由一个可靠机器 ,一个不可靠机器和一个缓冲库构成的生产线 .首先对应于此系统的数学模型化为抽象 Cauchy问题 ,然后运用 C0 -半群理论证明此模型存在唯一的非负解 . In this paper, we study a transfer line with a reliable machine, an unreliable machine and a storage buffer. First we convert the mathematical model corresponding to this transfer line into an abstract Cauchy problem and then prove the existence of a nonnegative time-dependent solution by using C_0-semigroup theory.
出处 《应用泛函分析学报》 CSCD 2003年第3期193-209,共17页 Acta Analysis Functionalis Applicata
基金 Tianyuan Mathematics Foundation(10 2 2 6 0 0 7)
关键词 可靠性模型 适定性 生产线 CAUCHY问题 半群 保守算子 弥散算子 C_0-semigroup dispersive operator conservative operator
  • 相关文献

参考文献10

  • 1疏松桂.带有缓冲库的综合制造系统(CIMS)分析及其可靠性的研究[J].自动化学报,1992,18(1):15-22. 被引量:47
  • 2[2]Gershwin Stanley B. Analysis of transfer lines consisting of two unreliable machines with random processing times and finite storage buffers[J]. AIIE Transactions, 1981, 13(1): 2-11.
  • 3[3]Sencer Yeralan, Muth Eginhard J. A general model of production line with intermediate buffer and station breakdown[J]. IIE Transactions, 1987, 19(2): 130-139.
  • 4LI Wei CAO Jinhua Institute of Applied Mathematics, Chinese Academy of Sciences,Beijing 100080.Some Performance Measures of Transfer Line Consisting of Two Unreliable Machines with Reprocess Rule[J].Systems Science and Systems Engineering,1998,8(3):27-36. 被引量:19
  • 5[5]Adams R A. Sobolev Spaces[M]. New York, Academic Press, 1975.
  • 6[6]Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations[M]. NewYork, Springer-Verlag, 2001.
  • 7[7]Geni Gupur, Xue-zhi Li, Guang-tian Zhu. Functional Analysis Method in Queueing Theory[M].Hertfordshire, Research Information Ltd, 2001.
  • 8[8]Nagel R. One-Parameter Semigroups of Positive Operators[M]. Berlin, Springer, 1987.
  • 9[9]Kelly J L, Namioka I. Linear Topological Spaces[M]. New York, Springer-Verlag, 1976.
  • 10[10]Fattorini H O. The Cauchy Problem[M]. Massachusetts, Addison-Wesley, 1983.

二级参考文献1

  • 1曹晋华,应用数学学报,1982年,4期

共引文献57

同被引文献28

引证文献2

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部