带止步、中途退出和负顾客及反馈的M^(X)/M/1/N多重工作休假排队系统  

The M^(X)/M/1/N Queuing System With Balking,Reneging,Negative Customers,Feedback,Batch Arrival and Multiple Working Vacation

作　　者：王莉[1] WANG Li(School of Liberal and Science,Suqian University,Suqian 223800,China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《太原师范学院学报（自然科学版）》2022年第3期20-26,共7页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(70571030);宿迁市科技计划项目(21SYB-33).

摘　　要：为了能够更好地应用休假排队模型,重点讨论了在多重工作休假中加入止步和批量到达两个因素,建立了一类新的工作休假模型.通过马尔科夫过程理论建立了系统稳态概率方程组,利用矩阵几何解法推导出了新模型的稳态概率的矩阵解,得到了系统稳态下的一些性能指标.In order to better apply the vacation queuing model,a new type of vacation model was established by adding two factors of stop and batch arrival into multiple vacation.The steady-state probability equations of the system are established by markov process theory,and the matrix solution of the steady-state probability of the new model is derived by matrix geometric solution method,and some performance indexes of the system under steady state are obtained.

关 键 词：止步 批量到达 多重工作休假 矩阵几何解法 

分 类 号：O226[理学—运筹学与控制论]