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  

Existence and Uniqueness of Nonnegative Solution of the Queue with Negative Customers and Vacation on Non-Exhaustive Service

作　　者：阿力木.米吉提 

机构地区：[1]新疆广播电视大学,新疆乌鲁木齐830049

出　　处：《江西师范大学学报（自然科学版）》2014年第6期574-577,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11371303);新疆维吾尔自治区自然科学基金(2012211A023);新疆广播电视大学基金(2013xjddkt001)资助项目

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.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.

关 键 词：M/G/1 排队系统 C0-半群 DISPERSIVE 算子 

分 类 号：O177.2[理学—数学]