| 带负顾客的非空竭服务休假排队模型非负解的存在唯一性 |
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| 引用本文： | 阿力木·米吉提.带负顾客的非空竭服务休假排队模型非负解的存在唯一性[J].江西师范大学学报(自然科学版),2014,0(6):574-577. |
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| 作者姓名： | 阿力木·米吉提 |
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| 作者单位： | 新疆广播电视大学,新疆 乌鲁木齐,830049 |
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| 基金项目： | 国家自然科学基金，新疆维吾尔自治区自然科学基金，新疆广播电视大学基金 |
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| 摘 要： | 讨论了一类带负顾客的非空竭休假排队系统。首先对应于此系统的数学模型转化为 Banach 空间中的抽象 Cauchy 问题，然后使用泛函分析中的 Hille-Yosida 定理、Phillips 定理证明此排队模型非负解的存在唯一性。
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| 关 键 词： | M/G/1 排队系统 C0-半群 dispersive 算子 |
Existence and Uniqueness of Nonnegative Solution of the Queue with Negative Customers and Vacation on Non-Exhaustive Service |
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| ALIM Mijit.Existence and Uniqueness of Nonnegative Solution of the Queue with Negative Customers and Vacation on Non-Exhaustive Service[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2014,0(6):574-577. |
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| Authors: | ALIM Mijit |
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| Institution: | ALIM Mijit;Xinjiang Radio & TV University; |
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| Abstract: | The queuing system with negative customers and vacation on non-exhaustive service is discussed. First the mathematical model of the queuing system is converted into an abstract Cauchy problem in a Banach space,then the existence and uniqueness of the nonnegative solution of this queuing model is obtained by using the Hille-Yosida theorem and the Phillips theorem in functional analysis. |
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| Keywords: | M/G/1 queue C0-semigroup dispersive operator |
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