An algorithm for optimal load balancing in a multiple GI/G/1 queueing system

Zhigang Zhang, H. Hartmann, Hucang He, Zhe Bai
{"title":"An algorithm for optimal load balancing in a multiple GI/G/1 queueing system","authors":"Zhigang Zhang, H. Hartmann, Hucang He, Zhe Bai","doi":"10.1002/ett.4460050218","DOIUrl":null,"url":null,"abstract":"The issue of optimal load balancing has been raised in several important engineering fields such as the file management in a data base, the job control in a multiple processor system or the flow assignment in a packet switched data network. By modeling the subsystems as multiple GI/G/1 queues and applying known approximations and decomposition methods, the system mean response time is expressed as a function of the load allocation. To find the optimal load balancing, the convexity property is first studied with respect to the type of the arrival process of the system. We give then an efficient algorithm which finds for the convex case the global and for the non-convex case a local minimum. Some important properties of the multiple Gl/G/1 queueing system are revealed with several numerical examples.","PeriodicalId":50473,"journal":{"name":"European Transactions on Telecommunications","volume":"65 1","pages":"277-284"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Transactions on Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/ett.4460050218","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The issue of optimal load balancing has been raised in several important engineering fields such as the file management in a data base, the job control in a multiple processor system or the flow assignment in a packet switched data network. By modeling the subsystems as multiple GI/G/1 queues and applying known approximations and decomposition methods, the system mean response time is expressed as a function of the load allocation. To find the optimal load balancing, the convexity property is first studied with respect to the type of the arrival process of the system. We give then an efficient algorithm which finds for the convex case the global and for the non-convex case a local minimum. Some important properties of the multiple Gl/G/1 queueing system are revealed with several numerical examples.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
多GI/G/1排队系统的最优负载均衡算法
在数据库中的文件管理、多处理机系统中的作业控制、分组交换数据网络中的流量分配等重要工程领域,都提出了最优负载均衡问题。通过将子系统建模为多个GI/G/1队列,并应用已知的近似和分解方法,将系统平均响应时间表示为负载分配的函数。为了找到最优的负载均衡,首先研究了系统到达过程类型的凸性。然后给出了一种有效的算法,该算法对凸情况求全局最小值,对非凸情况求局部最小值。通过数值算例揭示了多Gl/G/1排队系统的一些重要性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
审稿时长
9 months
期刊最新文献
Session and media signalling for communication components‐based open multimedia conferencing Web service over IP networks On cost-sharing mechanisms in cognitive radio networks Round-robin power control for the weighted sum rate maximisation of wireless networks over multiple interfering links Cross-layer design for double-string cooperative communications in wireless ad-hoc networks A passive location system for single frequency networks using digital terrestrial TV signals
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1