重尾服务需求下工作负荷过程的重流量近似

A Heavy Traffic Approximation for Workload Processes with Heavy Tailed Service Requirements

Management Science · 2000
被引 17
人大 A+FT50UTD24ABS 4*

中文导读

研究单服务器系统在重负载下具有重尾服务需求时的平衡等待时间分布,通过负漂移随机游走的弱收敛分析,得到Mittag-Leffler分布近似,对排队论和网络性能分析有参考价值。

Abstract

A system with heavy tailed service requirements under heavy load having a single server has an equilibrium waiting time distribution which is approximated by the Mittag-Leffler distribution. This fact is understood by a direct analysis of the weak convergence of a sequence of negative drift random walks with heavy right tail and the associated all time maxima of these random walks. This approach complements the recent transform view of Boxma and Cohen (1997).

重尾服务需求工作负载过程重流量近似