一个排队模型时间依赖解的渐近性质
일개배대모형시간의뢰해적점근성질
Asymptotic Property of the Time-Dependent Solution of a Queueing Model
  • 万方数据
    新疆师范大学学报（自然科学版） 신강사범대학학보（자연과학판）
    JOURNAL OF XINJIANG NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
    2014年 2期 53-57 ,共5页

    阿力木·米吉提%蔡玲霞

    아력목·미길제%채령하

    豫解集%特征值%几何重数 豫解集%特徵值%幾何重數
    예해집%특정치%궤하중수
    Resolvent set%Eigenvalue%Geometric multiplicity
    文章研究一类单服务员排队系统。首先对应于此系统的数学模型化为 Banach空间中的抽象 Cauchy问题，然后在一定条件下，通过研究相应主算子的谱的特征推出该系统时间依赖解强收敛于该系统的稳态解。
    문장연구일류단복무원배대계통。수선대응우차계통적수학모형화위 Banach공간중적추상 Cauchy문제，연후재일정조건하，통과연구상응주산자적보적특정추출해계통시간의뢰해강수렴우해계통적은태해。
    In this paper, we study a single server queueing system. First we convert the mathematical model of the queueing system into an abstract Cauchy problem in a Banach space. And then, under a certain condition by studying the spectral properties of the underlying operator we deduce that its time-dependent solution strongly con-verges to its steady-state solution.
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