一类基于同步多重休眠的损失制分组排队

A Group-Server Loss Queue Based on Synchronous Multiple Sleep

针对经典的损失制排队系统引入同步多重休眠机制,将系统中所有服务台分为两组:Ⅰ组服务台始终保持运行状态,以保证系统的响应性能;Ⅱ组服务台处于一种动态休眠模式,以实现节约能耗的目的。基于该方案,本次研究建立了一个M/M/m+n/m+n损失制分组排队模型,通过构造四维马尔科夫链,得到模型的稳态概率分布,并进一步推出系统的两个性能指标:顾客平均逗留时间和系统节能率。此外,利用数值结果分析了休眠阈值K对两个性能指标的影响。

A synchronous multiple sleep is introduced to the classical loss queue.All servers are configured into Group I and group II.The servers in group I keep working state continuously to ensure the response performance of the system,and the servers in group II are set in a dynamic sleep state to reduce the energy consumption.According to the above scheme,a M/M/m+n/m+n group-server loss queue model is established.By constructing a four-dimensional Markov chain,the steady state probability distribution of the mode,and two performance measures of the system:the average stay time of customers and the energy saving rate of the system are obtained.Moreover,the influence of the threshold K on two performance measures is analyzed based on numerical results.