M/M/n/n/m型排队系统的优化设计及应用研究

Study on optimal configuration for the M/M/n/n/m queuing system and its application

利用有限状态生灭过程的稳态解推导了M/M/n/n/m型排队系统的损失概率公式和系统占有率公式,对服务台数n和顾客源m的优化设计方法进行了理论探讨和可视化分析,借助于MATLAB编程获得系统的优化设计方案,并将所得理论和方法应用于有限用户损失制多信道共用通信系统的共用信道数的优化配置研究.

Based on the steady state solution of the birth and death process whose state space is a limited set, the formula of congestion ratio and formula of utilization ratio in the M/M/n/n/m queuing system are derived. The theory analysis for the optimal configuration is achieved and the MATLAB program idea is proposed. The theory and method are applied to analyze the multichannel sharing communication system for limited users.