论 "先缓冲先服务 "纪律下轻度交通中简单重入线的强近似值

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-06-05 DOI:10.1007/s10255-024-1093-8

Kai-ming Yang, Yong-jiang Guo

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引用次数: 0

摘要

对于轻流量下先缓冲先服务（FBFS）服务规则下的 2 站 3 班重入线路，我们首先构建了性能指标的强近似值，包括队列长度、工作量、繁忙时间和空闲时间过程。基于得到的强近似值，我们使用强近似方法求出了上述四个性能指标的所有迭代对数定律（LILs），这些性能指标表示为系统参数的一些函数：到达时间和服务时间的均值和方差，并描述了其流体近似值附近的波动特征。

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On the Strong Approximation for a Simple Reentrant Line in Light Traffic Under First-buffer First-served Service Discipline

For a 2-station and 3-class reentrant line under first-buffer first-served (FBFS) service discipline in light traffic, we firstly construct the strong approximations for performance measures including the queue length, workload, busy time and idle time processes. Based on the obtained strong approximations, we use a strong approximation method to find all the law of the iterated logarithms (LILs) for the above four performance measures, which are expressed as some functions of system parameters: means and variances of interarrival and service times, and characterize the fluctuations around their fluid approximations.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.