系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2015年
2期
458~465
,共null页
谣言传播 无标度网络 均匀网络 遗忘率
謠言傳播 無標度網絡 均勻網絡 遺忘率
요언전파 무표도망락 균균망락 유망솔
rumor spreading model; scale-free network; homogeneous network; variable forgetting rate
本文在无标度网络中研究了遗忘率随时间变化的谣言传播模型, 推导出了对应的平均场方程, 并在社交网络人人网中就遗忘率对谣言传播过程的影响进行了数值模拟. 结果表明： 遗忘率对谣言传播的最终规模有重要影响, 初始遗忘率越大或遗忘速度越大, 谣言的最终传播规模越小; 与遗忘率为常数的谣言传播模型相比, 谣言在遗忘率随时间变化的模型中传播规模更小. 研究还表明, 网络结构对谣言传播也有重要影响, 谣言在无标度网络中的传播速度比在均匀网络中更快, 最终传播规模更小.
本文在無標度網絡中研究瞭遺忘率隨時間變化的謠言傳播模型, 推導齣瞭對應的平均場方程, 併在社交網絡人人網中就遺忘率對謠言傳播過程的影響進行瞭數值模擬. 結果錶明： 遺忘率對謠言傳播的最終規模有重要影響, 初始遺忘率越大或遺忘速度越大, 謠言的最終傳播規模越小; 與遺忘率為常數的謠言傳播模型相比, 謠言在遺忘率隨時間變化的模型中傳播規模更小. 研究還錶明, 網絡結構對謠言傳播也有重要影響, 謠言在無標度網絡中的傳播速度比在均勻網絡中更快, 最終傳播規模更小.
본문재무표도망락중연구료유망솔수시간변화적요언전파모형, 추도출료대응적평균장방정, 병재사교망락인인망중취유망솔대요언전파과정적영향진행료수치모의. 결과표명： 유망솔대요언전파적최종규모유중요영향, 초시유망솔월대혹유망속도월대, 요언적최종전파규모월소; 여유망솔위상수적요언전파모형상비, 요언재유망솔수시간변화적모형중전파규모경소. 연구환표명, 망락결구대요언전파야유중요영향, 요언재무표도망락중적전파속도비재균균망락중경쾌, 최종전파규모경소.
This paper studies the rumor spreading model with a function of forgetting rate changing over time in scale-free networks. The corresponding mean-field equations are derived. Further, numerical simulations are conducted on Renren Network, an online social platform, to better understand the performance of the model. Results show that forgetting rate has a significant impact on the final size of rumor spreading： the larger the initial forgetting rate or the faster the forgetting speed, the smaller the final size of the rumor spreading; The final size of rumor spreading is much smaller under variable forgetting rate compared to that under a constant forgetting rate. Simulations also show that the spreading speed is faster and the final size is smaller in scale-free network than in homogeneous network.
