Non-Asymptotic Performance Analysis of Size-Based Routing Policies

被引:0
|
作者
Bachmat, Eitan [1 ]
Doncel, Josu [2 ]
机构
[1] Ben Gurion Univ Negev, Dept Comp Sci, IL-84105 Beer Sheva, Israel
[2] Univ Basque Country, UPV EHU, Dept Math, Leioa 48940, Spain
关键词
Size-based Routing; Parallel Servers; Heavy-tailed distributions; ASSIGNMENT; QUEUE; JOIN; LOAD;
D O I
10.1109/mascots50786.2020.9285943
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate the performance of two size-based routing policies: the Size Interval Task Assignment (SITA) and Task Assignment based on Guessing Size (TAGS). We consider a system with two servers and Bounded Pareto distributed job sizes with tail parameter 1 where the difference between the size of the largest and the smallest job is finite. We show that the ratio between the mean waiting time of TAGS over the mean waiting time of SITA is unbounded when the largest job size is large and the arrival rate times the largest job size is less than one. We provide numerical experiments that show that our theoretical findings extend to Bounded Pareto distributed job sizes with tail parameter different to 1.
引用
收藏
页码:241 / 244
页数:4
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