具有加入最短队列规则的Jackson网络的性能分析  

Performance Analysis of Jackson Network with Joining Shortest Queue Rule

作　　者：程慧慧 辛超楠 CHENG Hui-hui;XIN Chao-nan(School of Mathematics and Statistics,North China University of WaterResources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2022年第1期10-16,共7页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：在经典Jackson网络的基础上,引入一个智能到达,智能到达的顾客加入Jackson网络中的最短队列.首先建立平均场交互模型研究Jackson网络的极限行为,得到队列长度的经验分布收敛到非线性主方程的解,然后求出排队系统的平稳分布,最后证得在最短队列规则下系统的性能得到了提高.Based on classical Jackson network,an intelligent arrival was introduced,and intelligent customers would join the shortest queue in Jackson network.Firstly,the average field interaction model was established to study the limit behavior of Jackson network,and the empirical distribution of queue length converged to the solution of nonlinear master equation.Then,the stationary distribution of queuing system was obtained.Finally,the performance of the system was improved under the shortest queue rule.

关 键 词：Jackson网络 JSQ规则 平均场近似 非线性主方程 生灭过程 

分 类 号：O226[理学—运筹学与控制论]