Chinese Journal of Management Science ›› 2026, Vol. 34 ›› Issue (11): 130-141.doi: 10.16381/j.cnki.issn1003-207x.2025.0498
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Longtao Qin1,2, Jiayi Huang3, Mingliang Qi1,2(
)
Received:2025-03-29
Revised:2025-05-12
Online:2026-11-25
Published:2026-11-10
Contact:
Mingliang Qi
E-mail:mlqi@casisd.cn
CLC Number:
Longtao Qin,Jiayi Huang,Mingliang Qi. Research on the Evolution Mechanism of Weibo User Discussion Heat for Public Demand Response Policies——A Case Based on Weibo Users Data[J]. Chinese Journal of Management Science, 2026, 34(11): 130-141.
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| 参数类型 | 参数符号 | 参数含义 |
|---|---|---|
| 基本参数 | n | 总用户数 |
| 基本参数 | UNt、FNt、CNt、SNt | 在t时刻未知者、关注者、传播者、沉默者的用户数量 |
| 基本参数 | Ut、Ft、Ct、St | 在t时刻未知者、关注者、传播者、沉默者的用户集合 |
| 基本参数 | e | 自然数e |
| 基本参数 | t | 当前时间步,表示政策发布后第t天 |
| 基本参数 | Forget | 遗忘率,表示用户遗忘各条已阅读微博评论的概率 |
| 基本参数 | PSt | t时刻未知者的网络关系中有传播者的比例 |
| 基本参数 | PSit | t时刻未知者i的网络关系中是否有传播者的状态值 |
| 舆情传播途径参数 | α | 未知者对于相关话题不感兴趣的概率 |
| 舆情传播途径参数 | β | 关注者对于相关话题不感兴趣的概率 |
| 舆情传播途径参数 | γ | 传播者对于相关话题不感兴趣的概率 |
| 舆情传播途径参数 | θ | 沉默者对于相关话题感兴趣的概率 |
| 舆情传播途径参数 | σ | 关注者和传播者受他人影响,参与传播的概率 |
| 舆情传播途径参数 | m | 各类人群每次浏览的微博评论数 |
| 即时满足心理参数 | IRt | t时刻关注者和传播者的平均即时满足心理强度 |
| 即时满足心理参数 | IRit | t时刻关注者或传播者i在知晓相关话题信息后,出于即时满足心理,参与话题传播的概率 |
| 即时满足心理参数 | IRi0 | 表示i用户的初始即时满足心理强度,服从正态分布 |
| 即时满足心理参数 | IR_ti | 表示i用户第一阶段即时满足心理持续时间,服从正态分布 |
| 即时满足心理参数 | p | 用户受即时满足心理影响,浏览微博评论内容的概率 |
| 即时满足心理参数 | D | 即时满足心理对时间的敏感度 |
| 自我调节参数 | ARi | 用户i的自我调节能力阈值集合,描述用户基于此能力对其他用户影响和自身心理的调节能力,服从正态分布 |
| 自我调节参数 | AR_ti | 用户i自我调节的最长时间范围,服从正态分布 |
| 自我调节参数 | B | 自我调节效率 |
| 自我调节参数 | E | 自我调节准备时间 |
| 自我调节参数 | LTi | 用户i不再进行自我调节的开始时间 |
| 自我调节参数 | T_infti | t时刻用户i受到的总影响量 |
| 自我调节参数 | infti | t时刻用户i受到相邻节点的影响量 |
"
| 模型 | 参数取值 |
|---|---|
| 复杂网络 | n=20000;m=8;Forget=0.663[ |
| IGSA-UFCS | α=0.2;β=0.5;γ=0.1;σ=0.1;θ=0.5;UN0 =19500;FN0 =0;CN0 =500;SN0 =0;B=0.01;C=1;D=0.2 |
| IGSA-UFCS | 用户初始即时满足心理强度的正态分布参数(u=0.5,σ=1) |
| IGSA-UFCS | 用户自我调节能力的正态分布参数(u=0.5,σ=1) |
| IGSA-UFCS | 用户最长自我调节天数的正态分布参数(u=70,σ=7) |
| IGSA-UFCS | 用户仅即时满足心理生效天数的正态分布参数(u=14,σ=7) |
| IGSA-UFCS | 用户粉丝数的幂律分布参数(λ=2.5) |
| 遗传算法 | 交叉概率=0.2;变异概率=0.2;迭代次数=50;种群数量=90 |
"
| 拟合目标 | 拟合参数取值(保留3位小数) | 拟合误差(保留2位小数) |
|---|---|---|
| 真实数据 | α=0.786;p=0.440;σ=0.093;γ=0.001;θ=0.835; β=0.767;B=0.032;C=1.000;D=0.833 | MSE=885651.94;RMSE=941.09; MAE=715.21;R2 =0.72;CV=27.27% |
| 上包络数据 | α=0473;p=0.981;σ=0.737;γ=0.000;θ=0.787; β=0.719;B=0.006;C=0.597;D=0.408 | MSE=336481.30;RMSE=891.066; MAE=380.14;R2 =0.90;CV=12.82% |
| 移动平均数据 | α=0.606;p=0.976;σ=1.000;γ=0.000;θ=0.792; β=0.770;B=0.029;C=1.000;D=0.402 | MSE=793998.02;RMSE=891.07; MAE=639.42;R2 =0.70;CV=25.85% |
"
| 效果 | 措施1 | 措施2 | 措施3 | 措施4 |
|---|---|---|---|---|
| 5% | (2830,3241,242.05) | (3290,3709,299.7) | (2220,2533,52) | (2703,3119,217.9) |
| 10% | (2324,2669,176.3) | (2437,2697,59.25) | (1846,2115,43.1) | (1770,2073,40.85) |
| 15% | (1814,2136,124.75) | (2413,2737,54.65) | (1483,1789,33.65) | (1417,1729,33.9) |
| 20% | (1398,1633,97.25) | (2331,2562,50.45) | (1115,1387,18.15) | (1050,1333,20.95) |
| 25% | (967,1125,63.9) | (2272,2624,51.5) | (783,994,12.15) | (637,903,10.75) |
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