CAJ | 학술논문

为深入研究随机服务系统的“繁忙期”，基于拟平稳分布对其进行探讨。利用生灭过程的拟平稳分布概率特性，得到某个确定初始状态下生灭过程的平均灭绝时间，依据它和随机服务系统平均k阶繁忙期概率分布的相似，得到结果，并以实例进行模拟验证。结果表明：该模型进一步拓展了拟平稳分布的应用空间，能为深入研究随机服务系统的“繁忙期”提供参考。
위심입연구수궤복무계통적“번망기”，기우의평은분포대기진행탐토。이용생멸과정적의평은분포개솔특성，득도모개학정초시상태하생멸과정적평균멸절시간，의거타화수궤복무계통평균k계번망기개솔분포적상사，득도결과，병이실례진행모의험증。결과표명：해모형진일보탁전료의평은분포적응용공간，능위심입연구수궤복무계통적“번망기”제공삼고。
For further researching of “busy period” of random service system, discuss it based on quasi-stationary distribution. Use quasi-stationary distribution probability features of birth-death process to acquire mean extinction time of birth-death process under certain initialization state, acquire results according to its similarity with mean k order busy period probability distribution of random service system. Then, carry out simulation verifying by using example. The results show that the model can further expand application fields for quasi-stationary distribution, and provide reference for further researching on“busy period”of random service system.