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奖励函数相关文档数据

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\documentclass[12pt]{article}
\usepackage[a4paper,margin=1in]{geometry}
\usepackage{amsmath,amssymb}
\usepackage{booktabs}
\usepackage{hyperref}
\usepackage{CJKutf8}
\hypersetup{colorlinks=true,linkcolor=black,urlcolor=blue,citecolor=black}
\title{TCA-MAPPO 实验奖励函数说明}
\author{}
\date{\today}
\begin{document}
\begin{CJK}{UTF8}{gbsn}
\maketitle
\section{设计思想}
当前奖励函数采用同轮次 no-control 反事实基准下的``平均通行时间--TTC 风险改善''结构。它不再直接奖励某个绝对交通状态，而是比较模型控制与 no-control 在同一 episode、同一随机种子、同一控制步下的差异。
这样做的核心原因是：交通需求、车辆生成随机性和事故场景随机性会造成不同 episode 的绝对运行状态天然波动。使用同步 no-control 作为反事实基准后，奖励可以更直接地表示可变限速控制策略相对于不控制策略的边际贡献。
\section{通行能力指标：主线平均通行时间}
设 episode $e$ 中第 $t$ 个控制步结束时，模型 $\pi$ 下已经完成主线通行的车辆集合为 $\mathcal{A}_{\pi}^{(e)}(t)$。车辆 $i$ 的主线进入时刻为 $t_i^{\mathrm{dep}}$，离开时刻为 $t_i^{\mathrm{arr}}$，则其主线通行时间为
\begin{equation}
T_i=t_i^{\mathrm{arr}}-t_i^{\mathrm{dep}}.
\end{equation}
当前实现采用累计主线平均通行时间：
\begin{equation}
\bar{T}_{\pi}^{(e)}(t)=
\begin{cases}
\dfrac{1}{|\mathcal{A}_{\pi}^{(e)}(t)|}
\sum_{i\in\mathcal{A}_{\pi}^{(e)}(t)}T_i, & |\mathcal{A}_{\pi}^{(e)}(t)|>0,\\[10pt]
\mathrm{NaN}, & |\mathcal{A}_{\pi}^{(e)}(t)|=0.
\end{cases}
\end{equation}
代码中该指标对应 \texttt{mainline\_travel\_time\_cumulative\_mean\_s}。使用累计均值而不是单步区间均值，是因为较短控制步内可能没有主线车辆完成通行，累计均值可以降低稀疏完成事件导致的奖励缺失。
设 no-control 在同一 episode、同一 seed、同一控制步下的累计主线平均通行时间为 $\bar{T}_{0}^{(e)}(t)$。通行时间改善量定义为
\begin{equation}
\Delta_T^{(e)}(t)=
\mathrm{clip}\!\left(
\frac{\bar{T}_{0}^{(e)}(t)-\bar{T}_{\pi}^{(e)}(t)}
{\max\!\left(\bar{T}_{0}^{(e)}(t),T_{\min}\right)},-1,1
\right).
\end{equation}
当前配置中，最小分母为
\begin{equation}
T_{\min}=60\ \mathrm{s}.
\end{equation}
该形式表示相对于 no-control 的通行时间比例改善，而不是固定秒数尺度下的绝对改善。因此，在高流量阶段和低流量阶段，通行时间项的量纲更加一致；同时 $T_{\min}$ 可以避免早期基准通行时间过小导致比例项异常放大。
当模型降低平均通行时间时，$\Delta_T^{(e)}(t)>0$；当模型增加平均通行时间时，$\Delta_T^{(e)}(t)<0$。若当前模型或 no-control 尚无完成车辆导致累计通行时间不可用，则当前实现令 $\Delta_T^{(e)}(t)=0$。
\section{安全指标：TTC 风险}
安全项采用基于 TTC（Time To Collision）的追尾风险代理。对受控走廊内车辆 $i$，设其速度为 $v_i(t)$，前车速度为 $v_i^{\mathrm{lead}}(t)$，与前车净间距为 $g_i(t)$。正向闭合速度定义为
\begin{equation}
\Delta v_i^+(t)=\max\!\left(v_i(t)-v_i^{\mathrm{lead}}(t),0\right).
\end{equation}
若 $\Delta v_i^+(t)>0$，则
\begin{equation}
\mathrm{TTC}_i(t)=\frac{g_i(t)}{\Delta v_i^+(t)}.
\end{equation}
若车辆没有前车、前车不在受控走廊内，或 $\Delta v_i^+(t)=0$，则该车辆在当前步的 TTC 风险贡献记为 $0$。
设 TTC 阈值为 $\tau_{\mathrm{ttc}}$，当前配置为
\begin{equation}
\tau_{\mathrm{ttc}}=2.3\ \mathrm{s}.
\end{equation}
单车风险贡献为
\begin{equation}
\rho_i(t)=
\begin{cases}
\max\!\left(0,1-\dfrac{\mathrm{TTC}_i(t)}{\tau_{\mathrm{ttc}}}\right), & \mathrm{TTC}_i(t)>0,\\[10pt]
0, & \mathrm{TTC}_i(t)=0.
\end{cases}
\end{equation}
控制步 $t$ 的总体 TTC 风险为
\begin{equation}
S_{\pi}^{(e)}(t)=
\begin{cases}
\dfrac{1}{N_{\pi}^{(e)}(t)}\sum_{i=1}^{N_{\pi}^{(e)}(t)}\rho_i(t), & N_{\pi}^{(e)}(t)>0,\\[10pt]
0, & N_{\pi}^{(e)}(t)=0.
\end{cases}
\end{equation}
设同一 episode、同一 seed、同一控制步下 no-control 的 TTC 风险为 $S_0^{(e)}(t)$。安全改善量定义为
\begin{equation}
\Delta_S^{(e)}(t)=
\mathrm{clip}\!\left(S_0^{(e)}(t)-S_{\pi}^{(e)}(t),-1,1\right).
\end{equation}
当模型降低 TTC 风险时，$\Delta_S^{(e)}(t)>0$；当模型提高 TTC 风险时，$\Delta_S^{(e)}(t)<0$。
\section{最终奖励函数}
当前训练默认采用 \texttt{paired\_no\_control} 模式。设基础随机种子为 $z_0$，episode $e$ 使用的 SUMO 随机种子为
\begin{equation}
z_e=z_0+e.
\end{equation}
no-control 基准进程与其它模型使用相同的 $z_e$ 运行同一个 episode。
最终奖励定义为通行时间改善与 TTC 风险改善的线性组合：
\begin{equation}
R_{\pi}^{(e)}(t)=
w_T\Delta_T^{(e)}(t)+w_S\Delta_S^{(e)}(t).
\end{equation}
当前配置为
\begin{equation}
w_T=0.5,\qquad w_S=0.5.
\end{equation}
若模型在同一 seed、同一控制步下与 no-control 的累计主线平均通行时间和 TTC 风险完全一致，则 $R_{\pi}^{(e)}(t)=0$。若模型降低通行时间或降低 TTC 风险，则对应项为正；若模型增加通行时间或提高 TTC 风险，则对应项为负。
\section{同步 no-control 基准机制}
no-control runner 在每个 episode 内按 step 写出基准过程数据：
\begin{equation}
\texttt{runs/<run\_timestamp>/reward\_baseline/episode\_XXXX.csv}.
\end{equation}
其它模型在 episode $e$ 的第 $t$ 个控制步计算奖励前，会等待对应 CSV 文件中第 $t$ 行出现，然后读取 no-control 的 $\bar{T}_{0}^{(e)}(t)$ 与 $S_0^{(e)}(t)$。若基准文件不存在或当前 step 尚未写出，其它模型会阻塞等待。等待时间由 \texttt{baseline\_wait\_timeout\_s} 控制；轮询间隔由 \texttt{baseline\_poll\_interval\_s} 控制。
\section{代码变量对应关系}
\begin{table}[h]
\centering
\begin{tabular}{lll}
\toprule
数学符号 & 代码变量 & 含义 \\
\midrule
$R_{\pi}^{(e)}(t)$ & \texttt{reward}, \texttt{r\_improvement} & 最终训练奖励 \\
$\Delta_T^{(e)}(t)$ & \texttt{r\_travel\_time\_improvement} & 主线平均通行时间改善量 \\
$\Delta_S^{(e)}(t)$ & \texttt{r\_ttc\_improvement} & TTC 风险改善量 \\
$\bar{T}_{\pi}^{(e)}(t)$ & \texttt{mainline\_travel\_time\_cumulative\_mean\_s} & 当前模型累计主线平均通行时间 \\
$\bar{T}_{0}^{(e)}(t)$ & \texttt{baseline\_mainline\_travel\_time\_cumulative\_mean\_s} & no-control 累计主线平均通行时间 \\
$S_{\pi}^{(e)}(t)$ & \texttt{ttc\_risk\_rate} & 当前模型 TTC 风险 \\
$S_0^{(e)}(t)$ & \texttt{baseline\_ttc\_risk\_rate} & no-control TTC 风险 \\
$T_{\min}$ & \texttt{travel\_time\_min\_denominator\_s} & 通行时间相对改善最小分母 \\
$w_T$ & \texttt{travel\_time\_weight} & 通行时间改善权重 \\
$w_S$ & \texttt{ttc\_weight} & TTC 风险改善权重 \\
$\tau_{\mathrm{ttc}}$ & \texttt{ttc\_threshold\_s} & TTC 风险阈值 \\
$\rho_i(t)$ & \texttt{ttc\_risk\_samples[i]} & 单车 TTC 风险贡献 \\
$\mathrm{TTC}_i(t)$ & \texttt{ttc\_samples[i]} & 单车 TTC \\
\bottomrule
\end{tabular}
\caption{奖励函数数学符号与代码变量对应关系}
\end{table}
\section{运行要求}
使用 \texttt{paired\_no\_control} 奖励时，no-control runner 与其它模型必须使用相同的 \texttt{run\_timestamp}。推荐先启动 no-control，再启动其它模型；若并行启动，其它模型会自动在 step 级别等待 no-control 写出对应基准行。
\section*{参考文献}
\begin{enumerate}
\item Wang, Q., et al. Assessing the Transferability of Time-to-Collision and Other Car-Following Safety Measures in Real-Time Rear-End Crash Risk Prediction. \textit{Accident Analysis \& Prevention}, 2024, 197: 107640.
\item Jin, Q., Abdel-Aty, M., Ugan, J., Islam, Z., Zheng, O. Identifying the Threshold Discrepancy of Rear-End Conflicts under Clear and Rainy Weather Conditions Using Trajectory Data. \textit{Transportation Research Record}, 2025, 2679(4): 952--968.
\end{enumerate}
\end{CJK}
\end{document}

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2023/10/4 5:00,97.13000625
2023/10/4 5:30,88.87644797
2023/10/4 6:00,93.93141953
2023/10/4 6:30,97.02007663
2023/10/4 7:00,99.63088785
2023/10/4 7:30,98.93668812
2023/10/4 8:00,96.43422639
2023/10/4 8:30,87.9997234
2023/10/4 9:00,93.18056607
2023/10/4 9:30,77.52445733
2023/10/4 10:00,75.70321431
2023/10/4 10:30,76.8782646
2023/10/4 11:00,66.75946515
2023/10/4 11:30,79.75933337
2023/10/4 12:00,89.18601603
2023/10/4 12:30,75.52097936
2023/10/4 13:00,89.79353556
2023/10/4 13:30,93.46213184
2023/10/4 14:00,88.68606835
2023/10/4 14:30,74.81843723
2023/10/4 15:00,55.34354425
2023/10/4 15:30,47.85085416
2023/10/4 16:00,73.39265747
2023/10/4 16:30,93.42329041
2023/10/4 17:00,91.35007853
2023/10/4 17:30,83.43511165
2023/10/4 18:00,90.20029617
2023/10/4 18:30,89.85785297
2023/10/4 19:00,88.84569855
2023/10/4 19:30,91.84693769
2023/10/4 20:00,88.11576459
2023/10/4 20:30,89.58100636
2023/10/4 21:00,89.07447198
2023/10/4 21:30,92.05620697
2023/10/4 22:00,96.35190062
2023/10/4 22:30,94.28262157
2023/10/4 23:00,97.62504458
2023/10/4 23:30,87.4979202
2023/10/5 0:00,96.10473162
2023/10/5 0:30,95.12614858
2023/10/5 1:00,94.15989489
2023/10/5 1:30,93.53650596
2023/10/5 2:00,89.73188241
2023/10/5 2:30,96.79797064
2023/10/5 3:00,81.14490883
2023/10/5 3:30,87.11916904
2023/10/5 4:00,87.13324286
2023/10/5 4:30,89.29418554
2023/10/5 5:00,94.54657489
2023/10/5 5:30,89.06289171
2023/10/5 6:00,93.17376035
2023/10/5 6:30,94.62712561
2023/10/5 7:00,100.9056615
2023/10/5 7:30,95.93582439
2023/10/5 8:00,95.26957468
2023/10/5 8:30,93.6940014
2023/10/5 9:00,90.8886047
2023/10/5 9:30,91.58053161
2023/10/5 10:00,81.0851534
2023/10/5 10:30,74.10790544
2023/10/5 11:00,63.70608578
2023/10/5 11:30,85.34254554
2023/10/5 12:00,92.78352155
2023/10/5 12:30,95.7586794
2023/10/5 13:00,91.36531497
2023/10/5 13:30,93.75065896
2023/10/5 14:00,87.37894275
2023/10/5 14:30,87.00492742
2023/10/5 15:00,86.54020511
2023/10/5 15:30,87.7937062
2023/10/5 16:00,90.18618263
2023/10/5 16:30,90.07498892
2023/10/5 17:00,90.57314908
2023/10/5 17:30,90.79560141
2023/10/5 18:00,92.96035215
2023/10/5 18:30,91.92219397
2023/10/5 19:00,92.85895588
2023/10/5 19:30,93.15673292
2023/10/5 20:00,92.41340737
2023/10/5 20:30,91.85979586
2023/10/5 21:00,91.42995914
2023/10/5 21:30,91.84401797
2023/10/5 22:00,96.24300916
2023/10/5 22:30,93.21448626
2023/10/5 23:00,94.42493656
2023/10/5 23:30,98.84922312
2023/10/6 0:00,97.47127994
1 时间 整体平均通行速度
2 2023/9/29 0:00 39.72924853
3 2023/9/29 0:30 23.93869502
4 2023/9/29 1:00 20.12169479
5 2023/9/29 1:30 22.82279974
6 2023/9/29 2:00 35.64931132
7 2023/9/29 2:30 79.45280165
8 2023/9/29 3:00 97.98164707
9 2023/9/29 3:30 94.21935324
10 2023/9/29 4:00 97.67070299
11 2023/9/29 4:30 97.79686423
12 2023/9/29 5:00 98.46381991
13 2023/9/29 5:30 96.18703688
14 2023/9/29 6:00 97.43414885
15 2023/9/29 6:30 92.36651857
16 2023/9/29 7:00 73.998521
17 2023/9/29 7:30 62.17000839
18 2023/9/29 8:00 47.77817891
19 2023/9/29 8:30 35.40479758
20 2023/9/29 9:00 28.07752106
21 2023/9/29 9:30 23.73410594
22 2023/9/29 10:00 21.08155924
23 2023/9/29 10:30 20.58955406
24 2023/9/29 11:00 20.56069352
25 2023/9/29 11:30 19.83084787
26 2023/9/29 12:00 17.67770456
27 2023/9/29 12:30 16.89453669
28 2023/9/29 13:00 16.29016426
29 2023/9/29 13:30 19.63367999
30 2023/9/29 14:00 24.99341988
31 2023/9/29 14:30 31.03368271
32 2023/9/29 15:00 25.23062764
33 2023/9/29 15:30 51.51078952
34 2023/9/29 16:00 78.93674384
35 2023/9/29 16:30 50.67266384
36 2023/9/29 17:00 43.99015486
37 2023/9/29 17:30 59.63159768
38 2023/9/29 18:00 92.95402389
39 2023/9/29 18:30 93.80904548
40 2023/9/29 19:00 95.82182995
41 2023/9/29 19:30 92.86165527
42 2023/9/29 20:00 89.00020012
43 2023/9/29 20:30 94.9392069
44 2023/9/29 21:00 97.11333414
45 2023/9/29 21:30 94.61300718
46 2023/9/29 22:00 89.080915
47 2023/9/29 22:30 96.11108024
48 2023/9/29 23:00 97.3238152
49 2023/9/29 23:30 96.91342636
50 2023/9/30 0:00 95.2854676
51 2023/9/30 0:30 94.82708101
52 2023/9/30 1:00 90.55216898
53 2023/9/30 1:30 92.38862494
54 2023/9/30 2:00 99.440891
55 2023/9/30 2:30 89.19739717
56 2023/9/30 3:00 99.19009918
57 2023/9/30 3:30 94.01229131
58 2023/9/30 4:00 100.4861154
59 2023/9/30 4:30 94.16474968
60 2023/9/30 5:00 103.5615282
61 2023/9/30 5:30 103.338265
62 2023/9/30 6:00 98.59024657
63 2023/9/30 6:30 100.2136001
64 2023/9/30 7:00 100.4371182
65 2023/9/30 7:30 96.61478926
66 2023/9/30 8:00 93.93790438
67 2023/9/30 8:30 83.11760496
68 2023/9/30 9:00 62.15990099
69 2023/9/30 9:30 43.9723505
70 2023/9/30 10:00 35.00744214
71 2023/9/30 10:30 29.71189201
72 2023/9/30 11:00 30.34881825
73 2023/9/30 11:30 35.67407755
74 2023/9/30 12:00 49.21657288
75 2023/9/30 12:30 70.43670043
76 2023/9/30 13:00 84.9882178
77 2023/9/30 13:30 88.22434413
78 2023/9/30 14:00 83.80149533
79 2023/9/30 14:30 81.13305031
80 2023/9/30 15:00 68.65534228
81 2023/9/30 15:30 66.25314189
82 2023/9/30 16:00 56.82177464
83 2023/9/30 16:30 53.87454603
84 2023/9/30 17:00 75.89190795
85 2023/9/30 17:30 94.25549398
86 2023/9/30 18:00 93.29729417
87 2023/9/30 18:30 89.03453953
88 2023/9/30 19:00 88.90090011
89 2023/9/30 19:30 90.75154639
90 2023/9/30 20:00 91.74480997
91 2023/9/30 20:30 91.81361761
92 2023/9/30 21:00 96.018731
93 2023/9/30 21:30 94.30778764
94 2023/9/30 22:00 93.9208318
95 2023/9/30 22:30 94.79673956
96 2023/9/30 23:00 94.34804313
97 2023/9/30 23:30 92.37517591
98 2023/10/1 0:00 95.70438268
99 2023/10/1 0:30 96.84652701
100 2023/10/1 1:00 95.46339263
101 2023/10/1 1:30 86.95606544
102 2023/10/1 2:00 95.37366208
103 2023/10/1 2:30 92.94608604
104 2023/10/1 3:00 95.23062835
105 2023/10/1 3:30 82.52083522
106 2023/10/1 4:00 85.42612711
107 2023/10/1 4:30 89.83988015
108 2023/10/1 5:00 94.67710616
109 2023/10/1 5:30 91.29952203
110 2023/10/1 6:00 102.090648
111 2023/10/1 6:30 95.77602153
112 2023/10/1 7:00 98.64218131
113 2023/10/1 7:30 95.31672751
114 2023/10/1 8:00 91.89298041
115 2023/10/1 8:30 77.773542
116 2023/10/1 9:00 57.42606877
117 2023/10/1 9:30 39.65240753
118 2023/10/1 10:00 31.00995924
119 2023/10/1 10:30 30.52157284
120 2023/10/1 11:00 34.9241971
121 2023/10/1 11:30 43.68458602
122 2023/10/1 12:00 54.07301405
123 2023/10/1 12:30 91.18097214
124 2023/10/1 13:00 93.86937133
125 2023/10/1 13:30 77.32259339
126 2023/10/1 14:00 46.26674547
127 2023/10/1 14:30 61.20350656
128 2023/10/1 15:00 87.89014557
129 2023/10/1 15:30 89.07212849
130 2023/10/1 16:00 86.87276862
131 2023/10/1 16:30 78.81546612
132 2023/10/1 17:00 91.06549239
133 2023/10/1 17:30 91.92351234
134 2023/10/1 18:00 92.08125757
135 2023/10/1 18:30 90.05054879
136 2023/10/1 19:00 95.58843697
137 2023/10/1 19:30 92.35687372
138 2023/10/1 20:00 92.05876316
139 2023/10/1 20:30 95.63032509
140 2023/10/1 21:00 91.56096727
141 2023/10/1 21:30 99.4117834
142 2023/10/1 22:00 93.65299357
143 2023/10/1 22:30 97.42313518
144 2023/10/1 23:00 97.25786483
145 2023/10/1 23:30 104.6156361
146 2023/10/2 0:00 94.39114701
147 2023/10/2 0:30 90.12056321
148 2023/10/2 1:00 92.93092297
149 2023/10/2 1:30 101.9197079
150 2023/10/2 2:00 101.9169242
151 2023/10/2 2:30 84.00276319
152 2023/10/2 3:00 94.31853809
153 2023/10/2 3:30 89.62150861
154 2023/10/2 4:00 94.67171464
155 2023/10/2 4:30 83.96806504
156 2023/10/2 5:00 90.02052664
157 2023/10/2 5:30 96.71888253
158 2023/10/2 6:00 98.95693262
159 2023/10/2 6:30 97.50135485
160 2023/10/2 7:00 101.6070994
161 2023/10/2 7:30 98.08488622
162 2023/10/2 8:00 93.91792471
163 2023/10/2 8:30 74.8618313
164 2023/10/2 9:00 50.4885369
165 2023/10/2 9:30 42.50818675
166 2023/10/2 10:00 30.06486806
167 2023/10/2 10:30 29.35970871
168 2023/10/2 11:00 32.24892543
169 2023/10/2 11:30 47.64723602
170 2023/10/2 12:00 82.42684763
171 2023/10/2 12:30 91.18162378
172 2023/10/2 13:00 92.30107449
173 2023/10/2 13:30 59.57147985
174 2023/10/2 14:00 40.55175279
175 2023/10/2 14:30 52.46514705
176 2023/10/2 15:00 49.8132542
177 2023/10/2 15:30 67.5671994
178 2023/10/2 16:00 89.23048239
179 2023/10/2 16:30 84.51244604
180 2023/10/2 17:00 87.79178426
181 2023/10/2 17:30 85.41612538
182 2023/10/2 18:00 93.63838241
183 2023/10/2 18:30 90.34100796
184 2023/10/2 19:00 91.7891082
185 2023/10/2 19:30 91.74926772
186 2023/10/2 20:00 91.04644489
187 2023/10/2 20:30 85.25703171
188 2023/10/2 21:00 91.16563132
189 2023/10/2 21:30 92.76209434
190 2023/10/2 22:00 87.93458082
191 2023/10/2 22:30 96.44126019
192 2023/10/2 23:00 95.64079052
193 2023/10/2 23:30 95.06116763
194 2023/10/3 0:00 94.00332783
195 2023/10/3 0:30 90.09422673
196 2023/10/3 1:00 94.80075999
197 2023/10/3 1:30 92.81881216
198 2023/10/3 2:00 83.9436516
199 2023/10/3 2:30 91.43421331
200 2023/10/3 3:00 84.74746566
201 2023/10/3 3:30 86.14291449
202 2023/10/3 4:00 93.12777753
203 2023/10/3 4:30 90.00601715
204 2023/10/3 5:00 95.53480493
205 2023/10/3 5:30 97.05813577
206 2023/10/3 6:00 91.91240039
207 2023/10/3 6:30 97.83575656
208 2023/10/3 7:00 99.1732245
209 2023/10/3 7:30 97.2944553
210 2023/10/3 8:00 95.69641327
211 2023/10/3 8:30 87.22601678
212 2023/10/3 9:00 64.67405643
213 2023/10/3 9:30 40.52169265
214 2023/10/3 10:00 40.28903489
215 2023/10/3 10:30 36.94982832
216 2023/10/3 11:00 33.5733054
217 2023/10/3 11:30 29.44687455
218 2023/10/3 12:00 28.09541434
219 2023/10/3 12:30 33.86948488
220 2023/10/3 13:00 85.15431574
221 2023/10/3 13:30 90.56479621
222 2023/10/3 14:00 76.68642375
223 2023/10/3 14:30 54.08248973
224 2023/10/3 15:00 41.34094955
225 2023/10/3 15:30 48.05893742
226 2023/10/3 16:00 50.84836666
227 2023/10/3 16:30 47.63965508
228 2023/10/3 17:00 92.15038005
229 2023/10/3 17:30 92.92050098
230 2023/10/3 18:00 89.98178002
231 2023/10/3 18:30 89.81553177
232 2023/10/3 19:00 86.92104105
233 2023/10/3 19:30 92.41639347
234 2023/10/3 20:00 92.15764426
235 2023/10/3 20:30 92.7320025
236 2023/10/3 21:00 91.22235923
237 2023/10/3 21:30 93.57193356
238 2023/10/3 22:00 93.62447533
239 2023/10/3 22:30 94.63321979
240 2023/10/3 23:00 95.66595037
241 2023/10/3 23:30 93.11224726
242 2023/10/4 0:00 101.996437
243 2023/10/4 0:30 97.77955968
244 2023/10/4 1:00 93.65821611
245 2023/10/4 1:30 95.05513595
246 2023/10/4 2:00 89.92516772
247 2023/10/4 2:30 90.13285201
248 2023/10/4 3:00 91.85790079
249 2023/10/4 3:30 87.669047
250 2023/10/4 4:00 96.12084316
251 2023/10/4 4:30 83.423702
252 2023/10/4 5:00 97.13000625
253 2023/10/4 5:30 88.87644797
254 2023/10/4 6:00 93.93141953
255 2023/10/4 6:30 97.02007663
256 2023/10/4 7:00 99.63088785
257 2023/10/4 7:30 98.93668812
258 2023/10/4 8:00 96.43422639
259 2023/10/4 8:30 87.9997234
260 2023/10/4 9:00 93.18056607
261 2023/10/4 9:30 77.52445733
262 2023/10/4 10:00 75.70321431
263 2023/10/4 10:30 76.8782646
264 2023/10/4 11:00 66.75946515
265 2023/10/4 11:30 79.75933337
266 2023/10/4 12:00 89.18601603
267 2023/10/4 12:30 75.52097936
268 2023/10/4 13:00 89.79353556
269 2023/10/4 13:30 93.46213184
270 2023/10/4 14:00 88.68606835
271 2023/10/4 14:30 74.81843723
272 2023/10/4 15:00 55.34354425
273 2023/10/4 15:30 47.85085416
274 2023/10/4 16:00 73.39265747
275 2023/10/4 16:30 93.42329041
276 2023/10/4 17:00 91.35007853
277 2023/10/4 17:30 83.43511165
278 2023/10/4 18:00 90.20029617
279 2023/10/4 18:30 89.85785297
280 2023/10/4 19:00 88.84569855
281 2023/10/4 19:30 91.84693769
282 2023/10/4 20:00 88.11576459
283 2023/10/4 20:30 89.58100636
284 2023/10/4 21:00 89.07447198
285 2023/10/4 21:30 92.05620697
286 2023/10/4 22:00 96.35190062
287 2023/10/4 22:30 94.28262157
288 2023/10/4 23:00 97.62504458
289 2023/10/4 23:30 87.4979202
290 2023/10/5 0:00 96.10473162
291 2023/10/5 0:30 95.12614858
292 2023/10/5 1:00 94.15989489
293 2023/10/5 1:30 93.53650596
294 2023/10/5 2:00 89.73188241
295 2023/10/5 2:30 96.79797064
296 2023/10/5 3:00 81.14490883
297 2023/10/5 3:30 87.11916904
298 2023/10/5 4:00 87.13324286
299 2023/10/5 4:30 89.29418554
300 2023/10/5 5:00 94.54657489
301 2023/10/5 5:30 89.06289171
302 2023/10/5 6:00 93.17376035
303 2023/10/5 6:30 94.62712561
304 2023/10/5 7:00 100.9056615
305 2023/10/5 7:30 95.93582439
306 2023/10/5 8:00 95.26957468
307 2023/10/5 8:30 93.6940014
308 2023/10/5 9:00 90.8886047
309 2023/10/5 9:30 91.58053161
310 2023/10/5 10:00 81.0851534
311 2023/10/5 10:30 74.10790544
312 2023/10/5 11:00 63.70608578
313 2023/10/5 11:30 85.34254554
314 2023/10/5 12:00 92.78352155
315 2023/10/5 12:30 95.7586794
316 2023/10/5 13:00 91.36531497
317 2023/10/5 13:30 93.75065896
318 2023/10/5 14:00 87.37894275
319 2023/10/5 14:30 87.00492742
320 2023/10/5 15:00 86.54020511
321 2023/10/5 15:30 87.7937062
322 2023/10/5 16:00 90.18618263
323 2023/10/5 16:30 90.07498892
324 2023/10/5 17:00 90.57314908
325 2023/10/5 17:30 90.79560141
326 2023/10/5 18:00 92.96035215
327 2023/10/5 18:30 91.92219397
328 2023/10/5 19:00 92.85895588
329 2023/10/5 19:30 93.15673292
330 2023/10/5 20:00 92.41340737
331 2023/10/5 20:30 91.85979586
332 2023/10/5 21:00 91.42995914
333 2023/10/5 21:30 91.84401797
334 2023/10/5 22:00 96.24300916
335 2023/10/5 22:30 93.21448626
336 2023/10/5 23:00 94.42493656
337 2023/10/5 23:30 98.84922312
338 2023/10/6 0:00 97.47127994