具有反馈和不耐烦顾客的可修 M/M/1排队系统
Repairable M/M/1 Queuing Systemwith Feedback and ImpatientCustomers
DOI: 10.12677/AAM.2022.111046, PDF, HTML, 下载: 316  浏览: 937 
作者: 池夏夏*, 李冰冰：杭州师范大学数学学院，浙江 杭州
关键词: 反馈；不耐烦；可修排队系统；稳态方程；Feedback； Impatient； Repairable Queuing System； Steady State Equation
摘要: 本文在经典的 M/M/1 排队系统模型中增加了反馈、不耐烦顾客、可修影响因素，构建出一个新 的模型。利用模型中各个状态转移之间的关系列出其稳态方程，通过对其进行求解，从而得出系 统处于各个状态下的概率以及平均队长、平均等待时间等排队指标。
Abstract: In this paper, feedback, impatient customers, and repairable factors are added to the classic M/M/1 queuing system model, and a new model is constructed. The relationship between various state transitions in the model is used to list its steady state equation. By solving it, the probability of the system being in each state and the queuing indicators such as average queue length and average waiting time can be obtaine.
文章引用：池夏夏, 李冰冰. 具有反馈和不耐烦顾客的可修 M/M/1排队系统[J]. 应用数学进展, 2022, 11(1): 381-387. https://doi.org/10.12677/AAM.2022.111046

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