univer-7th-semester/genetic-algorithms
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Усреднил значения

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Артём Тищенко
2025-09-11 22:02:59 +03:00
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commit 931af08511
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lab1/report/report.tex
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@@ -440,78 +440,80 @@
\item $p_c = 0.3, 0.4, 0.5, 0.6, 0.7, 0.8$ -- вероятность кроссинговера.
\item $p_m = 0.001, 0.01, 0.05, 0.1, 0.2$ -- вероятность мутации.
\end{itemize}
Результаты измерений представлены в таблицах \ref{tab:pc_pm_results}--\ref{tab:pc_pm_results4}. В ячейках указано усредненное время в миллисекундах нахождения минимума функции. В скобках указано усредненное количество поколений, за которое было найдено решение. Каждый эксперимент запускался 30 раз. Если в ячейке стоит прочерк, то это означает, что решение не было найдено за 200 поколений. Лучшее значение по времени выполнения для каждого размера популяции выделено жирным шрифтом.
\newcolumntype{Y}{>{\centering\arraybackslash}X}
\begin{table}[ht]
\begin{table}[h!]
\centering
\small
\begin{tabularx}{\linewidth}{l *{5}{Y}}
\toprule
$\mathbf{P_c \;\backslash\; P_m}$ & \textbf{0.001} & \textbf{0.010} & \textbf{0.050} & \textbf{0.100} & \textbf{0.200} \\
\midrule
\textbf{0.3} & -- & 6.8 (83) & 4.7 (57) & 3.4 (37) & 2.3 (29) \\
\textbf{0.4} & -- & 3.7 (48) & 3.6 (24) & 5.2 (64) & 2.3 (17) \\
\textbf{0.5} & -- & -- & 6.2 (86) & 2.5 (27) & 2.8 (34) \\
\textbf{0.6} & -- & 12.6 (163)& 5.7 (56) & 2.7 (34) & 2.1 (25) \\
\textbf{0.7} & -- & -- & 7.9 (103) & 2.4 (23) & 2.3 (25) \\
\textbf{0.8} & -- & 11.8 (159)& 2.9 (23) & 2.0 (23) & 1.3 (13) \\
\textbf{0.3} & 11.5 (167) & 8.4 (123) & 5.4 (78) & 4.9 (71) & 3.3 (48) \\
\textbf{0.4} & 10.1 (144) & 7.1 (104) & 6.3 (92) & 4.7 (67) & 4.7 (67) \\
\textbf{0.5} & 11.4 (168) & 7.7 (112) & 5.4 (79) & 6.1 (83) & \textbf{3.1 (44)} \\
\textbf{0.6} & 11.0 (160) & 6.7 (97) & 4.9 (70) & 4.7 (67) & 5.3 (74) \\
\textbf{0.7} & 12.1 (174) & 9.3 (135) & 3.7 (52) & 4.7 (67) & 6.5 (92) \\
\textbf{0.8} & 8.7 (126) & 8.3 (119) & 3.9 (57) & 7.9 (113)& 4.4 (61) \\
\bottomrule
\end{tabularx}
\caption{Результаты для $N = 10$}
\label{tab:pc_pm_results}
\end{table}
\begin{table}[ht]
\begin{table}[h!]
\centering
\small
\begin{tabularx}{\linewidth}{l *{5}{Y}}
\toprule
$\mathbf{P_c \;\backslash\; P_m}$ & \textbf{0.001} & \textbf{0.010} & \textbf{0.050} & \textbf{0.100} & \textbf{0.200} \\
\midrule
\textbf{0.3} & 20.6 (146) & 13.5 (90) & 6.5 (43) & 5.3 (29) & 7.1 (48) \\
\textbf{0.4} & 2.7 (13) & 6.7 (38) & 3.4 (20) & 3.0 (20) & 19.2 (122) \\
\textbf{0.5} & -- & 3.0 (15) & 2.5 (16) & 3.7 (20) & -- \\
\textbf{0.6} & 1.8 (11) & 14.3 (102)& 2.3 (13) & 2.4 (14) & -- \\
\textbf{0.7} & 2.1 (12) & 3.3 (17) & 6.4 (36) & 2.5 (15) & 9.1 (60) \\
\textbf{0.8} & -- & 2.6 (12) & 3.8 (22) & 3.7 (24) & 6.8 (47) \\
\textbf{0.3} & 14.7 (111) & 8.2 (62) & 4.9 (37) & 4.7 (35) & 8.7 (63) \\
\textbf{0.4} & 12.8 (95) & 7.3 (54) & 4.7 (35) & 4.3 (32) & 8.2 (61) \\
\textbf{0.5} & 10.5 (78) & 5.4 (40) & \textbf{2.2 (16)} & 5.5 (40) & 12.1 (89) \\
\textbf{0.6} & 14.0 (103) & 6.5 (48) & 3.4 (25) & 4.0 (30) & 14.0 (87) \\
\textbf{0.7} & 11.5 (84) & 6.2 (46) & 3.0 (22) & 3.2 (24) & 11.6 (83) \\
\textbf{0.8} & 9.2 (64) & 5.8 (41) & 2.5 (18) & 3.0 (22) & 11.2 (78) \\
\bottomrule
\end{tabularx}
\caption{Результаты для $N = 25$}
\label{tab:pc_pm_results2}
\end{table}
\begin{table}[ht]
\begin{table}[h!]
\centering
\small
\begin{tabularx}{\linewidth}{l *{5}{Y}}
\toprule
$\mathbf{P_c \;\backslash\; P_m}$ & \textbf{0.001} & \textbf{0.010} & \textbf{0.050} & \textbf{0.100} & \textbf{0.200} \\
\midrule
\textbf{0.3} & 25.8 (101) & 6.3 (24) & 9.5 (30) & 7.2 (27) & -- \\
\textbf{0.4} & 4.8 (18) & 4.6 (16) & 21.4 (86) & 42.5 (167)& 43.2 (175) \\
\textbf{0.5} & 23.6 (95) & 21.3 (82) & 8.5 (34) & 6.4 (23) & 20.0 (76) \\
\textbf{0.6} & 5.5 (20) & 10.9 (41) & 12.8 (43) & -- & 28.6 (113) \\
\textbf{0.7} & -- & 7.4 (28) & 8.8 (35) & -- & -- \\
\textbf{0.8} & -- & 11.7 (47) & 9.1 (36) & -- & -- \\
\textbf{0.3} & 6.1 (26) & 5.2 (22) & 6.3 (26) & 11.6 (48) & 40.2 (147) \\
\textbf{0.4} & 6.1 (26) & 4.5 (19) & 5.2 (22) & 9.8 (40) & 37.2 (149) \\
\textbf{0.5} & 10.5 (44) & 4.9 (20) & 7.6 (28) & 17.1 (65) & 36.2 (144) \\
\textbf{0.6} & 7.5 (31) & \textbf{4.6 (19)} & 5.6 (23) & 18.8 (76) & 42.0 (158) \\
\textbf{0.7} & 7.6 (31) & 4.7 (20) & 7.6 (31) & 13.9 (55) & 34.3 (136) \\
\textbf{0.8} & 10.8 (44) & 5.0 (21) & 6.1 (24) & 13.9 (56) & 36.5 (145) \\
\bottomrule
\end{tabularx}
\caption{Результаты для $N = 50$}
\label{tab:pc_pm_results3}
\end{table}
\begin{table}[ht]
\begin{table}[h!]
\centering
\small
\begin{tabularx}{\linewidth}{l *{5}{Y}}
\toprule
$\mathbf{P_c \;\backslash\; P_m}$ & \textbf{0.001} & \textbf{0.010} & \textbf{0.050} & \textbf{0.100} & \textbf{0.200} \\
\midrule
\textbf{0.3} & 7.6 (16) & 9.5 (16) & 10.6 (23) & 18.0 (38) & -- \\
\textbf{0.4} & 6.1 (13) & 10.0 (21) & 12.5 (25) & 67.1 (143) & -- \\
\textbf{0.5} & 7.4 (15) & 7.9 (16) & 9.5 (20) & 79.7 (166) & -- \\
\textbf{0.6} & 7.5 (16) & 10.1 (21) & -- & 51.1 (107) & -- \\
\textbf{0.7} & 7.6 (16) & 28.6 (56) & 22.7 (48) & 43.7 (91) & -- \\
\textbf{0.8} & 6.7 (14) & 10.4 (22) & 13.4 (25) & 23.0 (47) & -- \\
\textbf{0.3} & \textbf{7.6 (16)} & 9.5 (21) & 29.0 (60) & 62.9 (128) & -- \\
\textbf{0.4} & 8.0 (17) & 9.6 (21) & 31.5 (68) & 56.6 (120) & -- \\
\textbf{0.5} & 9.1 (20) & 9.2 (20) & 22.6 (48) & 59.4 (124) & -- \\
\textbf{0.6} & 17.8 (38) & 12.3 (26) & 30.0 (64) & 61.1 (128) & 95.3 (196) \\
\textbf{0.7} & 10.0 (22) & 14.3 (31) & 30.3 (64) & 49.1 (103) & -- \\
\textbf{0.8} & 16.4 (34) & 12.1 (25) & 31.4 (64) & 54.9 (114) & -- \\
\bottomrule
\end{tabularx}
\caption{Результаты для $N = 100$}