带有非抢占优先权接触匹配的M/M/c+m排队模型分析  

Analysis for the M/M/c+m queueing model with non-preemptive priority and contact matching

作　　者：谭玉廷 徐秀丽[1] 郑瑞 TAN Yuting;XU Xiuli;ZHENG Rui(School of Science,Yanshan University,Qinhuangdao 066004,Hebei,China;School of Economics and Management,Yanshan University,Qinhuangdao 066004,Hebei,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]燕山大学经济管理学院,河北秦皇岛066004

出　　处：《山东大学学报（理学版）》2023年第11期45-52,共8页Journal of Shandong University(Natural Science)

基　　金：河北省自然科学基金资助项目(A2019203313);河北省高等学校科学研究重点项目(ZD2019079)。

摘　　要：建立带非抢占优先权的接触匹配的M/M/c+m排队模型,得到拟生灭过程状态转移规律及无穷小生成元矩阵,进而利用矩阵几何解方法给出了系统的稳态平衡条件、稳态概率分布及系统的主要指标。最后给出数值例子讨论系统参数对性能指标的影响。The M/M/c+m queueing model with non-preemptive priority contact matching is established,and the state transition rule and infinitesimal generator matrix of the quasi-birth-and-death process are obtained.Then,the steady-state equilibrium condition,steady-state probability distribution,and main performance indices of the system are given by using the matrix geometric solution method.Finally,numerical examples are presented to discuss the influence of system parameters on the performance indices.

关 键 词：排队模型 接触匹配 非抢占优先权 稳态概率 

分 类 号：O226[理学—运筹学与控制论]