具有非强占型优先权顾客的M_1^(X_1),M_2^(X_2)/G_1,G_2/1排队系统的适定性  

Well-Posedness of the M_1^(X_1),M_2^(X_2)/G_1,G_2/1 Queueing System with Non-Preemptive Priority Customers

作　　者：艾合买提.卡斯木 艾尼.吾甫尔[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2016年第23期180-200,共21页Mathematics in Practice and Theory

基　　金：国家自然科学数学天元基金(11526175);国家自然科学基金(11371304);新疆大学博士启动基金(BS130104)

摘　　要：运用Hille-Yosida定理,Phillips定理与Fattorini定理证明具有非强占型优先权顾客的M_1^(X_1),M_2^(X_2)/G_1,G_2/1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 HiUe-Yosida theorem, the Phillips theorem and Fattorini theorem we prove that the M1X1,M2X2/G1,G2/1queueing system with non-preemptive priority cus-tomers has a unique positive time-dependent solution which satisfies probability condition.

关 键 词：非强占型 优先权 M1X1 M2X2/G1 G2/1 排队系统 CO-半群 Dispersive算子 

分 类 号：O226[理学—运筹学与控制论]