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}
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.