计算机科学 ›› 2018, Vol. 45 ›› Issue (7): 110-115.doi: 10.11896/j.issn.1002-137X.2018.07.018

• 网络与通信 • 上一篇    下一篇

基于线性规划的传感器节点布局模型

徐涛1,2,杜昱萱1,吕宗磊1,2   

  1. 中国民航大学计算机科学与技术学院 天津3003001;
    中国民航信息技术科研基地 天津3003002
  • 收稿日期:2017-04-27 出版日期:2018-07-30 发布日期:2018-07-30
  • 作者简介:徐 涛(1962-),男,硕士,教授,CCF会员,主要研究方向为智能信息处理、民航信息系统理论与安全等;杜昱萱(1989-),女,硕士生,主要研究方向为最优化、机器学习等,E-mail:cauc_duyx@163.com(通信作者);吕宗磊(1981-),男,博士,副教授,主要研究方向为数据挖掘、机器学习与知识工程等。
  • 基金资助:
    本文受国家科技支撑计划课题:绿色机场建设关键技术研究与示范(2014BAJ04B02)资助。

Sensor Node Deployment Model Based on Linear Programming

XU Tao1,2,DU Yu-xuan1,LV Zong-lei1,2   

  1. College of Computer Science and Technology,Civil Aviation University of China,Tianjin 300300,China1;
    Information Technology Research Base of Civil Aviation Administration of China,Tianjin 300300,China2
  • Received:2017-04-27 Online:2018-07-30 Published:2018-07-30

摘要: 针对用最少的传感器节点覆盖感兴趣区域并确保传感器节点之间连通的最优化问题,提出了基于线性规划的传感器节点布局模型。该模型通过传递闭包计算连通性,将命题逻辑式转化为线性方程组,从而求得该模型的精确解。同时,设计了在不同网格规模下的全覆盖实验验证了该模型的正确性。该模型可以自行设定最大跳数、感兴趣区域和汇聚节点的位置,求得的精确解可作为传感器节点布局模型近似解的比较基准。

关键词: 传递闭包, 单纯形, 节点布局, 连通性, 线性规划

Abstract: A sensor node deployment model based on linear programming was proposed to cover the interesting region with the least sensor nodes and ensure the connectivity between sensor nodes.In this model,the connectivity of sensor nodes is calculated by transitive closure,and the logical equations are transformed into linear equations.Then the optimal solution of the model is obtained.At the same time,the full coverage experiments under different grid sizes are designed to verify the correctness of the model.Moreover,this model can set its own maximum hops,interesting regions and the location of sink nodes,and the exact solution can be used as a comparison criterion for the approximate solution of the sensor node deployment model.

Key words: Connectivity, Linear programming, Node deployment, Simplex, Transitive closure

中图分类号: 

  • TP399
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