自组织网络中流量路由建模的格点格林函数和扩散

M. Sigelle, Ian H. Jermyn, S. Perreau, A. Jayasuriya
{"title":"自组织网络中流量路由建模的格点格林函数和扩散","authors":"M. Sigelle, Ian H. Jermyn, S. Perreau, A. Jayasuriya","doi":"10.1109/WIOPT.2009.5291591","DOIUrl":null,"url":null,"abstract":"We describe basic properties of Markov chains on finite state spaces and their application to Green functions, partial differential equations, and their (approximate) solution using random walks on a graph. Attention is paid to the influence of boundary conditions (Dirichlet/von Neumann). We apply these ideas to the study of traffic propagation and distribution in ad hoc networks.","PeriodicalId":143632,"journal":{"name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks\",\"authors\":\"M. Sigelle, Ian H. Jermyn, S. Perreau, A. Jayasuriya\",\"doi\":\"10.1109/WIOPT.2009.5291591\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe basic properties of Markov chains on finite state spaces and their application to Green functions, partial differential equations, and their (approximate) solution using random walks on a graph. Attention is paid to the influence of boundary conditions (Dirichlet/von Neumann). We apply these ideas to the study of traffic propagation and distribution in ad hoc networks.\",\"PeriodicalId\":143632,\"journal\":{\"name\":\"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WIOPT.2009.5291591\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WIOPT.2009.5291591","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

摘要

我们描述了有限状态空间上马尔可夫链的基本性质及其在格林函数、偏微分方程中的应用,以及它们在图上随机游走的近似解。注意边界条件(Dirichlet/von Neumann)的影响。我们将这些思想应用于研究自组织网络中的流量传播和分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks
We describe basic properties of Markov chains on finite state spaces and their application to Green functions, partial differential equations, and their (approximate) solution using random walks on a graph. Attention is paid to the influence of boundary conditions (Dirichlet/von Neumann). We apply these ideas to the study of traffic propagation and distribution in ad hoc networks.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信