一类排队模型的适定性

摘要

In this paper,we study a single server queueing system.First we convert the mathematical model of the queueing system into an abstract Cauchy problem in a Banach space and then by using the Hille-Yosida theorem,Phillips theorem and Fattorini theorem we prove that the single server queueing model in this paper has a unique nonnegative time-dependent solution.%研究一类单服务员排队系统.首先对应于此系统的数学模型化为Banach空间中的抽象Cauchy问题,然后运用Hille-Yosida定理,Phillips定理与Fattorini定理证明此排队模型存在唯一的概率瞬态解.