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.
作者
谭玉廷
徐秀丽
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)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
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)。
关键词
排队模型
接触匹配
非抢占优先权
稳态概率
queueing model
contact matching
preemptive priority
steady-state probability
