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批量到达的、具有两种服务阶段和服务中断的重试排队系统的适定性 被引量:1

Well-Posedness of the Batch Arrival Retrial Queueing System with Two Phases of Service and Service Interruption
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摘要 运用Hille-Yosida定理,Phillips定理与Fattorini定理证明批量到达、具有两种服务阶段和服务中断的重试排队系统存在唯一的、非负的、满足概率性质的时间依赖解. By using the Hille-Yosida theorem, the Phillips theorem and Fattorini theorem we prove that the batch arrival retrial queueing system with two phases of service and service interruption has a unique positive time-dependent solution which satisfies probability condition.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第2期132-152,共21页 Mathematics in Practice and Theory
基金 国家自然科学基金(10861011)
关键词 批量到达的 具有两种服务阶段和服务中断的重试排队系统 C0-半群 Dispersive算子 The batch arrival retrial queueing system with two phases of service and service interruption C0-semigroup dispersive operator
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参考文献6

  • 1Gautam Choudhury, Lotfi Tadj, Kandarpa Deka. A batch arrival retrial queueing system with two phases of service and service interruption [J]. Computers & Mathematics with Applications, 2010, 59: 437-450.
  • 2Geni Gupur, Li Xue-zhi, Zhu Guang-tian. Functional Analysis Method in Queueing Theory [M]. Herdfortshire: Research Information Ltd., 2001.
  • 3Geni Gupur. Semigroup method for M/G/1 retrial queue with general retrial times [J]. International Journal of Pure and Applied Mathematics, 2005, 18: 405-429.
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  • 5Fattorini H O. The Cauchy Problem [M]. Massachusetts: Addison-Wesley, 1983.
  • 6Geni Gupur. Analysis of the M/G/1 retrial queueing model with server breakdowns [J]. Journal of Pseudo-Differential Operators and Applications, 2010, 1: 313-340.

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