{"title":"无线移动模型中的多源同步通信是np完全的","authors":"Pattama Longani, Sanpawat Kantabutra","doi":"10.1109/IEECON.2014.6925942","DOIUrl":null,"url":null,"abstract":"In this article we consider a mobility model M=(S, D, U, L, R, V, C, O), where S is a set of sources, D a set of directions, U a set of users, L a set of user movements, R a set of source movements, V a set of velocities of sources, C a set of source coverages, and O a set of obstacles. Particularly, we study a problem called MULTI-SOURCES SIMULTANEOUS COMMUNICATION PROBLEM in this model. This problem is stated as follows: given a mobility model M=(S, D, U, L, R, V, C, O), k pairs of distinct sources {s1, s'1}, {s2, s'2},...,{sk, s'k}, and a time t, can all k pairs of sources simultaneously communicate throughout the duration t of the model without sharing a source? We show that the complexity of this problem is at least as hard as the ONE-IN-THREE 3-SATISFIABILITY unless P=NP.","PeriodicalId":306512,"journal":{"name":"2014 International Electrical Engineering Congress (iEECON)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-sources simultaneous communication in the wireless mobility model is NP-complete\",\"authors\":\"Pattama Longani, Sanpawat Kantabutra\",\"doi\":\"10.1109/IEECON.2014.6925942\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we consider a mobility model M=(S, D, U, L, R, V, C, O), where S is a set of sources, D a set of directions, U a set of users, L a set of user movements, R a set of source movements, V a set of velocities of sources, C a set of source coverages, and O a set of obstacles. Particularly, we study a problem called MULTI-SOURCES SIMULTANEOUS COMMUNICATION PROBLEM in this model. This problem is stated as follows: given a mobility model M=(S, D, U, L, R, V, C, O), k pairs of distinct sources {s1, s'1}, {s2, s'2},...,{sk, s'k}, and a time t, can all k pairs of sources simultaneously communicate throughout the duration t of the model without sharing a source? We show that the complexity of this problem is at least as hard as the ONE-IN-THREE 3-SATISFIABILITY unless P=NP.\",\"PeriodicalId\":306512,\"journal\":{\"name\":\"2014 International Electrical Engineering Congress (iEECON)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 International Electrical Engineering Congress (iEECON)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IEECON.2014.6925942\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Electrical Engineering Congress (iEECON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEECON.2014.6925942","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们考虑一个迁移模型M=(S, D, U, L, R, V, C, O),其中S是一组源,D是一组方向,U是一组用户,L是一组用户移动,R是一组源移动,V是一组源速度,C是一组源覆盖,O是一组障碍。在此模型中,我们特别研究了多源同步通信问题。问题表述如下:给定迁移率模型M=(S, D, U, L, R, V, C, O), k对不同的源{s1, S '1}, {s2, S '2},…,{sk, s'k}和时间t,那么在整个模型持续时间t内,所有k对源是否可以同时通信而不共享一个源?我们证明,除非P=NP,否则该问题的复杂性至少与三分之一的3-可满足性一样难。
Multi-sources simultaneous communication in the wireless mobility model is NP-complete
In this article we consider a mobility model M=(S, D, U, L, R, V, C, O), where S is a set of sources, D a set of directions, U a set of users, L a set of user movements, R a set of source movements, V a set of velocities of sources, C a set of source coverages, and O a set of obstacles. Particularly, we study a problem called MULTI-SOURCES SIMULTANEOUS COMMUNICATION PROBLEM in this model. This problem is stated as follows: given a mobility model M=(S, D, U, L, R, V, C, O), k pairs of distinct sources {s1, s'1}, {s2, s'2},...,{sk, s'k}, and a time t, can all k pairs of sources simultaneously communicate throughout the duration t of the model without sharing a source? We show that the complexity of this problem is at least as hard as the ONE-IN-THREE 3-SATISFIABILITY unless P=NP.