刘书新, 曹玲, 木依丁·海力力. 一类M/M/2排队模型研究[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2005, (1).DOI:
一类M/M/2排队模型研究
摘要
首先运用C0-半群理论证明M/M/2排队模型有惟一的概率瞬态解
然后通过研究对应于M/M/2排队模型的主算子的谱特征得到解的渐近性质.
Abstract
We prove that the M/M/2 queueing model has a unique positive time-dependent solution which satisfies probability condition by using C0- semigroup theory
then we obtain asymptotic property of the solution through studying special properties of the operator corresponding to this model.
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Keywords
references
Saaty. T L. Time-dependent solution of the many-serverPoisson queue[J]. Operations Research, 1960(8):755-772.