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

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