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第二种服务可选的M/G/1排队模型的适定性 被引量:5

Well-Posedness of the M/G/1 Queueing Model with Optional Second Service
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摘要 运用Hille-Yosida定理,Phillips定理与Fattorini定理证明第二种服务可选的M/G/1排队模型存在唯一的概率瞬态解. By using the Hille-Yosida theorem,Phillips theorem and Fattorini theorem we prove that the M/G/1 queueing model with optional second service has a unique positive time-dependent solution which satisfies probability condition.
出处 《应用泛函分析学报》 CSCD 2011年第2期124-135,共12页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(10861011)
关键词 第二种服务可选的M/G/1排队模型 C_0-半群 时间依赖解 the M/G/1 queueing model with optional second service C_0-semigroup time-dependent solution
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参考文献6

  • 1Kailash C. Madan. An M/G/1 queue with second optional service[J]. Queueing Systems, 2000, 34: 37-46.
  • 2邢喜民.具有可选服务的M/M/1排队模型的豫解集(英文)[J].新疆大学学报(自然科学版),2008,25(4):403-415. 被引量:3
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二级参考文献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.

共引文献3

同被引文献44

  • 1祖力洪马尔.瓦以提,艾尼.吾甫尔.具有可选服务的M/M/1排队模型的另一个特征值[J].应用泛函分析学报,2012,14(4):419-430. 被引量:4
  • 2Gautam Choudhury. Some aspects of an M/G/l queueing system with optional second service[J]. Top, 2003, 11: 141-150.
  • 3Alim Miji, Geni Gupur. Asymptotic Behavior of the Time-Dependent Solution of the M/M/1 Queueing Model with OptionalSecond Service [J]. International Journal of Pure and Applied Mathematics, 2011, 69: 289-328.
  • 4Geni Gupur, Li Xue-Zhi, Zhu Guang-tian. Functional Analysis Method in Queueing Theory [M]. Hertfordshire: ResearchInformation Ltd, 2001.
  • 5Geni Gupur. On the M/M/1 queueing model with compulsory server vacations[J]. International Journal of Pure and AppliedMathematics, 2010,64: 253-304.
  • 6刘玉链,傅沛仁数学分析讲义(上册)[M].北京:高等教育出版社,2001.
  • 7Yang T, Templeton J G C. A survey on retial queues[J]. Quequing System, 1987, 2(3): 201-233.
  • 8Yang T, Li H. The M/G/1 retrial queue with the server subject to starting failures[J]. Queueing systems, 1994, 16(1-2): 83-96.
  • 9Krishna Kumar B, Arivudainambi D. The M/G/1 retrial queue with bernoulli schedules and general retrial times[J]. Computers & Mathematics with Applications, 2002, 43(1-2): 15-30.
  • 10Gupur G, Li X Z, Zhu G T. Functional Analysis Method in Queueing Theory[M]. Research Infor- mation Ltd, Hertfordshire, U.K., 2001.

引证文献5

二级引证文献4

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