摘要
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.
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.
出处
《安徽师范大学学报(自然科学版)》
CAS
北大核心
2013年第2期110-114,119,共6页
Journal of Anhui Normal University(Natural Science)
基金
Supported by The Open University of China General Foundation(dynamic analysis for several kinds of queueing model,Q4301E-Y)