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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
引用本文:艾合买提·卡斯木,艾尼·吾甫尔.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[J].数学的实践与认识,2012,42(2):132-152.
作者姓名:艾合买提·卡斯木  艾尼·吾甫尔
作者单位:新疆大学数学与系统科学学院,新疆乌鲁木齐,830046
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.

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

Well-Posedness of the Batch Arrival Retrial Queueing System with Two Phases of Service and Service Interruption
Ehmet Kasim , Geni Gupur.Well-Posedness of the Batch Arrival Retrial Queueing System with Two Phases of Service and Service Interruption[J].Mathematics in Practice and Theory,2012,42(2):132-152.
Authors:Ehmet Kasim  Geni Gupur
Institution:Ehmet Kasim,Geni Gupur (College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)
Abstract: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.
Keywords:The batch arrival retrial queueing system with two phases of service and service interruption  Co-semigroup  dispersive operator
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