Analysis of an M/M/1 Retrial Queue with Speed Scaling
Analysis of an M/M/1 Retrial Queue with Speed Scaling
复制标题
具有速度扩展的 M/M/1 重试队列分析
DOI:
10.1007/978-3-319-22267-7_11
复制
发表时间:
2016
期刊:
影响因子:
--
通讯作者:
W.
中科院分区:
文献类型:
--
作者:
Phung-Duc;T. and Rogiest;W.
Recently, queues with speed scaling have received considerable attention due to their applicability to data centers, enabling a better balance between performance and energy consumption. This paper proposes a new model where blocked customers must leave the service area and retry after a random time, with retrial rate either varying proportionally to the number of retrying customers (linear retrial rate) or non-varying (constant retrial rate). For both, we study the case without and with setup time. In all four cases, we obtain an exact solution for the stationary queue length distribution. This document presents the resulting expressions as well as their derivation.