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具有可选服务的M/M/1排队模型的豫解集(英文) 被引量:3

The Resolvent Set of M/M/1 Queueing Model with Second Optional Service
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摘要 运用线性算子及其共轭算子的谱之间的关系,研究具有可选服务的M/M/1排队模型主算子的豫解集,并得到在虚轴上除了零外其它所有点都属于该算子的豫解集. By using the relation between the spectrum of a linear operator and its adjoint operator, we study the resolvent set of the operator corresponding to M/M/1 queueing model with second optional service, and obtain all points on the imaginary axis except for zero belong to the resolvent set of the operator.
作者 邢喜民
出处 《新疆大学学报(自然科学版)》 CAS 2008年第4期403-415,共13页 Journal of Xinjiang University(Natural Science Edition)
基金 The Major Project of the Ministry of Education of China (205180) the Excellent Youth Reward Foundation of the Higher Education Institution of Xinjiang (XJEDU2004E05)
关键词 具有可选服务的M/M/1排队模型 共轭算子 豫解集 M/M/1 queueing model with second optional service, adjoint operator, resolvent set
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参考文献3

  • 1Kailash C. Madan. An M/G/1 queue with second optionalservice[J]. Queueing Systems, 2000, 34, 37-46.
  • 2Zhang Furong. Asymptotic Property of the Time-Dependent Solution of M/M/1 Retrial Queueing Model with Special Retrial Times [J]. Xinjiang University Master's Thesis, 2006.
  • 3Geni Gupur, Li Xue-zhi, Zhu Guang-tian. Functional Analysis Method in Queueing Theory[M]. Hertfordshire, Research Information Ltd, 2001.

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