| 服务员强制休假的M/G/1排队模型的适定性 |
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| 引用本文： | 卢志杰,艾尼·吾甫尔.服务员强制休假的M/G/1排队模型的适定性[J].数学的实践与认识,2010,40(5). |
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| 作者姓名： | 卢志杰 艾尼·吾甫尔 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐,830046 |
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| 基金项目： | 国家自然科学基金(10861011) |
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| 摘 要： | 运用Hille-Yosida定理,Phillips定理与Fattorini定理证明服务员强制休假的M/G/1排队模型存在唯一的概率瞬态解.
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| 关 键 词： | 服务员强制休假的M/G/1排队系统 C_0-半群 Dispersive算子 保守算子 等距算子 |
Well-Posedness of the M/G/1 Queueing Model with Compulsory Server Vacations |
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| LU Zhi-jie,Geni Gupur.Well-Posedness of the M/G/1 Queueing Model with Compulsory Server Vacations[J].Mathematics in Practice and Theory,2010,40(5). |
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| Authors: | LU Zhi-jie Geni Gupur |
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| Affiliation: | LU Zhi-jie,Geni Gupur (College of Mathematics , Systems Science,Xinjiang University,Urumqi 830046,China) |
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| Abstract: | By using the Hille-Yosida theorem,Phillips theorem and Fattorini theorem we prove that the M/G/1 queueing model with compulsory server vacations has a unique positive time-dependent solution which satisfies probability condition. |
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| Keywords: | the M/G/1 queueing model with compulsory server vacations C_0-semigroup dispersive operator conservative operator isometric operator |
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