空竭服务GeomX1,GeomX2/G/1休假排队系统分析  

Analysis of the GeomX1,GeomX2/G/1 Queuing Systems with Exhaustive Service Discipline and Vacation

作　　者：高显彩[1] 单雪红[1] 张丽慧 GAO Xian-cai;SHAN Xue-hong;ZHANG Li-hui(School of Mathematics&statistics,Suzhou University,Suzhou 234000,Anhui,China;The First Junior Middle School of Sucheng,Suzhou 234000,Anhui,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000 [2]宿城第一初级中学,安徽宿州234000

出　　处：《兰州文理学院学报（自然科学版）》2019年第5期4-8,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：宿州学院校级重点科研项目(2019yzd07,2019yzd08,2019yzd17);宿州学院优秀青年人才支持计划资助项目(SZXYQNL2017004)

摘　　要：主要讨论两类不同顾客批量到达的Geom^X1,Geom^X2/G/1型排队系统,利用嵌入马尔可夫链法,得到了稳态队长的分布,并且分析其在两种休假策略下稳态队长的随机分解.Two types of Geom^X1,Geom^X2/G/1 queuing systems with different customer arrival in batches were mainly discussed in this paper,after which the distribution of stable number of customers is obtained by embedding Markov Chain,and at last the random decomposition of stable number of customers in two vacation strategies is analyzed.

关 键 词：空竭服务 单重休假 多重休假 排队系统 

分 类 号：O226[理学—运筹学与控制论]