スタイル検討
基礎編
多段確率決定樹表(ツリーテーブル) (0053-a-e-03-1)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% Table 1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{center}\footnotesize\renewcommand{\arraystretch}{0.91} \begin{tabular}{|cr@{\hspace*{0.5mm}}|c|l|l|c|c|} \hline \multicolumn{2}{|c|}{\makebox[62.6mm][c]{履歴}}& \makebox[0.1mm][c]{加法} & {経路} & \multicolumn{1}{|c|}{積} & \multicolumn{1}{|c|}{部期} & {全期}\\ \hline \hline &$s_1$ 0.3 & 2.0 & {\it 0.64} & 1.28 & & \\ &$s_2$ 1.0 & 2.7 & {\it 0.08} & 0.216 & \makebox[6mm][c]{1.696} & \\ &$s_3$ 0.8 & 2.5 & {\it 0.08} & 0.2 & & \\ \cline{3-5} &$s_1$ 0.3 & 1.6 & {\it 0.08} & 0.128 & & \\ &$s_2$ 1.0 & 2.3 & {\it 0.72} & 1.656 & \makebox[6mm][c]{\bf 1.784} & \\ &$s_3$ 0.8 & 2.1 & {\it 0.0} & 0 & & \\ \cline{3-6} &$s_1$ 0.3 & 2.0 & {\it 0.0} & 0 & & \\ &$s_2$ 1.0 & 2.7 & {\it 0.01} & 0.027 & \makebox[6mm][c]{\bf 0.252} & \\ &$s_3$ 0.8 & 2.5 & {\it 0.09} & 0.225 & & \makebox[6mm][c]{2.248} \\
\cline{3-5}
&$s_1$ 0.3 & 1.6 & {\it 0.08} & 0.128 & & \\ &$s_2$ 1.0 & 2.3 & {\it 0.01} & 0.023 & \makebox[6mm][c]{0.172} & \\ &$s_3$ 0.8 & 2.1 & {\it 0.01} & 0.021 & & \\ \cline{3-6} &$s_1$ 0.3 & 2.0 & {\it 0.08} & 0.16 & & \\ &$s_2$ 1.0 & 2.7 & {\it 0.01} & 0.027 & \makebox[6mm][c]{\bf 0.212} & \\ &$s_3$ 0.8 & 2.5 & {\it 0.01} & 0.025 & & \\ \cline{3-5} &$s_1$ 0.3 & 1.6 & {\it 0.01} & 0.016 & & \\ &$s_2$ 1.0 & 2.3 & {\it 0.0} & 0 & \makebox[6mm][c]{0.205} & \\ &$s_3$ 0.8 & 2.1 & {\it 0.09} & 0.189 & & \\ %\cline{3-7} \hline \end{tabular} \end{center} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% Figure 1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \vspace*{-228mm}\hspace*{6mm} \setlength{\unitlength}{0.001in} %\setlength{\unitlength}{0.0001in} \begin{picture}(2300,5750)(0,0) \special{pn 8}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_2) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 492.4}% \special{pa 2270 340}% \special{fp}% \special{pa 1600 492.4}% \special{pa 2270 492.4}% \special{fp}% \special{pa 1600 492.4}% \special{pa 2270 644.8}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 949.6}% \special{pa 2270 797.2}% \special{fp}% \special{pa 1600 949.6}% \special{pa 2270 949.6}% \special{fp}% \special{pa 1600 949.6}% \special{pa 2270 1102}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 1406.8}% \special{pa 2270 1254.4}% \special{fp}% \special{pa 1600 1406.8}% \special{pa 2270 1406.8}% \special{fp}% \special{pa 1600 1406.8}% \special{pa 2270 1559.2}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 1864}% \special{pa 2270 1711.6}% \special{fp}% \special{pa 1600 1864}% \special{pa 2270 1864}% \special{fp}% \special{pa 1600 1864}% \special{pa 2270 2016.4}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 2321.2}% \special{pa 2270 2168.8}% \special{fp}% \special{pa 1600 2321.2}% \special{pa 2270 2321.2}% \special{fp}% \special{pa 1600 2321.2}% \special{pa 2270 2473.6}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 2778.4}% \special{pa 2270 2626}% \special{fp}% \special{pa 1600 2778.4}% \special{pa 2270 2778.4}% \special{fp}% \special{pa 1600 2778.4}% \special{pa 2270 2930.8}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 3235.6}% %\special{pa 2270 3083.2}% %\special{fp}% %\special{pa 1600 3235.6}% %\special{pa 2270 3235.6}% %\special{fp}% %\special{pa 1600 3235.6}% %\special{pa 2270 3388}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 3692.8}% %\special{pa 2270 3540.4}% %\special{fp}% %\special{pa 1600 3692.8}% %\special{pa 2270 3692.8}% %\special{fp}% %\special{pa 1600 3692.8}% %\special{pa 2270 3845.2}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 4150}% %\special{pa 2270 3997.6}% %\special{fp}% %\special{pa 1600 4150}% %\special{pa 2270 4150}% %\special{fp}% %\special{pa 1600 4150}% %\special{pa 2270 4302.4}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 4607.2}% %\special{pa 2270 4454.8}% %\special{fp}% %\special{pa 1600 4607.2}% %\special{pa 2270 4607.2}% %\special{fp}% %\special{pa 1600 4607.2}% %\special{pa 2270 4759.6}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 5064.4}% %\special{pa 2270 4912}% %\special{fp}% %\special{pa 1600 5064.4}% %\special{pa 2270 5064.4}% %\special{fp}% %\special{pa 1600 5064.4}% %\special{pa 2270 5216.8}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 5521.6}% %\special{pa 2270 5369.2}% %\special{fp}% %\special{pa 1600 5521.6}% %\special{pa 2270 5521.6}% %\special{fp}% %\special{pa 1600 5521.6}% %\special{pa 2270 5674}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 721}% \special{pa 1600 492.4}% \special{da 0.05}% \special{pa 1000 721}% \special{pa 1600 949.6}% \special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 1635.4}% \special{pa 1600 1406.8}% \special{da 0.05}% \special{pa 1000 1635.4}% \special{pa 1600 1864}% \special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 2549.8}% \special{pa 1600 2321.2}% \special{da 0.05}% \special{pa 1000 2549.8}% \special{pa 1600 2778.4}% \special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 3464.2}% %\special{pa 1600 3235.6}% %\special{da 0.05}% %\special{pa 1000 3464.2}% %\special{pa 1600 3692.8}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 4378.6}% %\special{pa 1600 4150}% %\special{fp}% %\special{pa 1000 4378.6}% %\special{pa 1600 4607.2}% %\special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 5293}% %\special{pa 1600 5064.4}% %\special{fp}% %\special{pa 1000 5293}% %\special{pa 1600 5521.6}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_1) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 500 1635.4}% \special{pa 1000 721}% \special{fp}% \special{pa 500 1635.4}% \special{pa 1000 1635.4}% \special{fp}% \special{pa 500 1635.4}% \special{pa 1000 2549.8}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 500 4378.6}% %\special{pa 1000 3464.2}% %\special{fp}% %\special{pa 500 4378.6}% %\special{pa 1000 4378.6}% %\special{fp}% %\special{pa 500 4378.6}% %\special{pa 1000 5293}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 180 3007}% \special{pa 500 1635.4}% \special{da 0.05}% %\special{pa 180 3007}% %\special{pa 500 4378.6}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%% Nota. & Nume. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(300,-2950){\makebox(0,0){$s_1$}} \put(1000,-621){\makebox(0,0){$s_1$}} \put(1000,-1735.4){\makebox(0,0){$s_2$}} \put(1000,-2649.8){\makebox(0,0){$s_3$}} %\put(1000,-3344.2){\makebox(0,0){$s_1$}} %\put(1000,-4458.6){\makebox(0,0){$s_2$}} %\put(1000,-5373){\makebox(0,0){$s_3$}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(400,-2507){\makebox(0,0){$a_1$}} %\put(400,-3507){\makebox(0,0){$a_2$}} \put(1400,-644.8){\makebox(0,0){$a_1$}} \put(1400,-949.6){\makebox(0,0){$a_2$}} \put(1400,-1559.2){\makebox(0,0){$a_1$}} \put(1400,-1864){\makebox(0,0){$a_2$}} \put(1400,-2473.6){\makebox(0,0){$a_1$}} \put(1400,-2778.4){\makebox(0,0){$a_2$}} %\put(1400,-3368){\makebox(0,0){$a_1$}} %\put(1400,-3672.8){\makebox(0,0){$a_2$}} %\put(1400,-4282.4){\makebox(0,0){$a_1$}} %\put(1400,-4587.2){\makebox(0,0){$a_2$}} %\put(1400,-5196.8){\makebox(0,0){$a_1$}} %\put(1400,-5501.6){\makebox(0,0){$a_2$}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(200,-2407){\makebox(0,0){\small 0.7}} %\put(200,-3607){\makebox(0,0){\small 1.0}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(700,-1021){\makebox(0,0){\small\it 0.8}} \put(800,-1535.4){\makebox(0,0){\small\it 0.1}} \put(700,-2249.8){\makebox(0,0){\small\it 0.1}} %\put(700,-3744.2){\makebox(0,0){\small\it 0.1}} %\put(800,-4258.6){\makebox(0,0){\small\it 0.9}} %\put(700,-4973){\makebox(0,0){\small\it 0.0}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(1200,-542.4){\makebox(0,0){\small 1.0}} \put(1300,-749.6){\makebox(0,0){\small 0.6}} \put(1200,-1456.8){\makebox(0,0){\small 1.0}} \put(1300,-1664){\makebox(0,0){\small 0.6}} \put(1200,-2371.2){\makebox(0,0){\small 1.0}} \put(1300,-2578.4){\makebox(0,0){\small 0.6}} %\put(1200,-3265.6){\makebox(0,0){\small 1.0}} %\put(1300,-3472.8){\makebox(0,0){\small 0.6}} %\put(1200,-4180){\makebox(0,0){\small 1.0}} %\put(1300,-4387.2){\makebox(0,0){\small 0.6}} %\put(1200,-5094.4){\makebox(0,0){\small 1.0}} %\put(1300,-5301.6){\makebox(0,0){\small 0.6}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(1900,-340){\makebox(0,0){\small\it 0.8}} \put(2100,-432.4){\makebox(0,0){\small\it 0.1}} \put(2100,-542.4){\makebox(0,0){\small\it 0.1}} \put(1900,-797.2){\makebox(0,0){\small\it 0.1}} \put(2100,-889.6){\makebox(0,0){\small\it 0.9}} \put(2100,-999.6){\makebox(0,0){\small\it 0.0}} \put(1900,-1244.4){\makebox(0,0){\small\it 0.0}} \put(2100,-1336.8){\makebox(0,0){\small\it 0.1}} \put(2100,-1446.8){\makebox(0,0){\small\it 0.9}} \put(1900,-1701.6){\makebox(0,0){\small\it 0.8}} \put(2100,-1794){\makebox(0,0){\small\it 0.1}} \put(2100,-1904){\makebox(0,0){\small\it 0.1}} \put(1900,-2153.8){\makebox(0,0){\small\it 0.8}} \put(2100,-2246.2){\makebox(0,0){\small\it 0.1}} \put(2100,-2356.2){\makebox(0,0){\small\it 0.1}} \put(1900,-2626){\makebox(0,0){\small\it 0.1}} \put(2100,-2703.4){\makebox(0,0){\small\it 0.0}} \put(2100,-2813.4){\makebox(0,0){\small\it 0.9}} %\put(1900,-3063.2){\makebox(0,0){\small\it 0.8}} %\put(2100,-3155.6){\makebox(0,0){\small\it 0.1}} %\put(2100,-3265.6){\makebox(0,0){\small\it 0.1}} %\put(1900,-3525.4){\makebox(0,0){\small\it 0.1}} %\put(2100,-3607.8){\makebox(0,0){\small\it 0.9}} %\put(2100,-3717.8){\makebox(0,0){\small\it 0.0}} %\put(1900,-3972.6){\makebox(0,0){\small\it 0.0}} %\put(2100,-4065){\makebox(0,0){\small\it 0.1}} %\put(2100,-4175){\makebox(0,0){\small\it 0.9}} %\put(1900,-4424.8){\makebox(0,0){\small\it 0.8}} %\put(2100,-4517.2){\makebox(0,0){\small\it 0.1}} %\put(2100,-4627.2){\makebox(0,0){\small\it 0.1}} %\put(1900,-4882){\makebox(0,0){\small\it 0.8}} %\put(2100,-4974.4){\makebox(0,0){\small\it 0.1}} %\put(2100,-5084.4){\makebox(0,0){\small\it 0.1}} %\put(1900,-5339.2){\makebox(0,0){\small\it 0.1}} %\put(2100,-5431.6){\makebox(0,0){\small\it 0.0}} %\put(2100,-5541.6){\makebox(0,0){\small\it 0.9}} \end{picture} \end{table} %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
多段確率決定樹表(ツリーテーブル) (0053-a-e-03-2)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% Table 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \begin{table}[ht] \caption{状態 $s_1$ からの２段確率決定樹表(続き)} %\begin{center} %図表1 : 状態 $s_1$ からの２段確率決定樹表 %\end{center} \begin{center}\footnotesize\renewcommand{\arraystretch}{0.91} \begin{tabular}{|cr@{\hspace*{0.5mm}}|c|l|l|c|c|} \hline \multicolumn{2}{|c|}{\makebox[62.6mm][c]{履歴}}& \makebox[0.1mm][c]{加法} & {経路} & \multicolumn{1}{|c|}{積} & \multicolumn{1}{|c|}{部期} & {全期}\\ \hline \hline &$s_1$ 0.3 & 2.3 & {\it 0.08} & 0.184 & & \\ &$s_2$ 1.0 & 3.0 & {\it 0.01} & 0.03 & \makebox[6mm][c]{0.242} & \\ &$s_3$ 0.8 & 2.8 & {\it 0.01} & 0.028 & & \\ \cline{3-5} &$s_1$ 0.3 & 1.9 & {\it 0.01} & 0.019 & & \\ &$s_2$ 1.0 & 2.6 & {\it 0.09} & 0.234 & \makebox[6mm][c]{\bf 0.253} & \\ &$s_3$ 0.8 & 2.4 & {\it 0.0} & 0 & & \\ \cline{3-6} &$s_1$ 0.3 & 2.3 & {\it 0.0} & 0 & & \\ &$s_2$ 1.0 & 3.0 & {\it 0.09} & 0.27 & \makebox[6mm][c]{\bf 2.538} & \\ &$s_3$ 0.8 & 2.8 & {\it 0.81} & 2.268 & & \makebox[6mm][c]{\bf 2.791} \\
\cline{3-5}
&$s_1$ 0.3 & 1.9 & {\it 0.72} & 1.368 & & \\ &$s_2$ 1.0 & 2.6 & {\it 0.09} & 0.234 & \makebox[6mm][c]{1.818} & \\ &$s_3$ 0.8 & 2.4 & {\it 0.09} & 0.216 & & \\ \cline{3-6} &$s_1$ 0.3 & 2.3 & {\it 0.0} & 0 & & \\ &$s_2$ 1.0 & 3.0 & {\it 0.0} & 0 & \makebox[6mm][l]{\bf 0} & \\ &$s_3$ 0.8 & 2.8 & {\it 0.0} & 0 & & \\ \cline{3-5} &$s_1$ 0.3 & 1.9 & {\it 0.0} & 0 & & \\ &$s_2$ 1.0 & 2.6 & {\it 0.0} & 0 & \makebox[6mm][l]{\bf 0} & \\ &$s_3$ 0.8 & 2.4 & {\it 0.0} & 0 & & \\ \hline \end{tabular} \end{center} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% Figure 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \vspace*{-228mm}\hspace*{6mm} \setlength{\unitlength}{0.001in} %\setlength{\unitlength}{0.0001in} \begin{picture}(2300,5750)(0,-2700) \special{pn 8}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_2) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 492.4}% %\special{pa 2270 340}% %\special{fp}% %\special{pa 1600 492.4}% %\special{pa 2270 492.4}% %\special{fp}% %\special{pa 1600 492.4}% %\special{pa 2270 644.8}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 949.6}% %\special{pa 2270 797.2}% %\special{fp}% %\special{pa 1600 949.6}% %\special{pa 2270 949.6}% %\special{fp}% %\special{pa 1600 949.6}% %\special{pa 2270 1102}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 1406.8}% %\special{pa 2270 1254.4}% %\special{fp}% %\special{pa 1600 1406.8}% %\special{pa 2270 1406.8}% %\special{fp}% %\special{pa 1600 1406.8}% %\special{pa 2270 1559.2}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 1864}% %\special{pa 2270 1711.6}% %\special{fp}% %\special{pa 1600 1864}% %\special{pa 2270 1864}% %\special{fp}% %\special{pa 1600 1864}% %\special{pa 2270 2016.4}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 2321.2}% %\special{pa 2270 2168.8}% %\special{fp}% %\special{pa 1600 2321.2}% %\special{pa 2270 2321.2}% %\special{fp}% %\special{pa 1600 2321.2}% %\special{pa 2270 2473.6}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1600 2778.4}% %\special{pa 2270 2626}% %\special{fp}% %\special{pa 1600 2778.4}% %\special{pa 2270 2778.4}% %\special{fp}% %\special{pa 1600 2778.4}% %\special{pa 2270 2930.8}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 3235.6}% \special{pa 2270 3083.2}% \special{fp}% \special{pa 1600 3235.6}% \special{pa 2270 3235.6}% \special{fp}% \special{pa 1600 3235.6}% \special{pa 2270 3388}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 3692.8}% \special{pa 2270 3540.4}% \special{fp}% \special{pa 1600 3692.8}% \special{pa 2270 3692.8}% \special{fp}% \special{pa 1600 3692.8}% \special{pa 2270 3845.2}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 4150}% \special{pa 2270 3997.6}% \special{fp}% \special{pa 1600 4150}% \special{pa 2270 4150}% \special{fp}% \special{pa 1600 4150}% \special{pa 2270 4302.4}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 4607.2}% \special{pa 2270 4454.8}% \special{fp}% \special{pa 1600 4607.2}% \special{pa 2270 4607.2}% \special{fp}% \special{pa 1600 4607.2}% \special{pa 2270 4759.6}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 5064.4}% \special{pa 2270 4912}% \special{fp}% \special{pa 1600 5064.4}% \special{pa 2270 5064.4}% \special{fp}% \special{pa 1600 5064.4}% \special{pa 2270 5216.8}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1600 5521.6}% \special{pa 2270 5369.2}% \special{fp}% \special{pa 1600 5521.6}% \special{pa 2270 5521.6}% \special{fp}% \special{pa 1600 5521.6}% \special{pa 2270 5674}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 721}% %\special{pa 1600 492.4}% %\special{da 0.05}% %\special{pa 1000 721}% %\special{pa 1600 949.6}% %\special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 1635.4}% %\special{pa 1600 1406.8}% %\special{da 0.05}% %\special{pa 1000 1635.4}% %\special{pa 1600 1864}% %\special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 1000 2549.8}% %\special{pa 1600 2321.2}% %\special{da 0.05}% %\special{pa 1000 2549.8}% %\special{pa 1600 2778.4}% %\special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 3464.2}% \special{pa 1600 3235.6}% \special{da 0.05}% \special{pa 1000 3464.2}% \special{pa 1600 3692.8}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 4378.6}% \special{pa 1600 4150}% \special{fp}% \special{pa 1000 4378.6}% \special{pa 1600 4607.2}% \special{da 0.05}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 1000 5293}% \special{pa 1600 5064.4}% \special{fp}% \special{pa 1000 5293}% \special{pa 1600 5521.6}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_1) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 500 1635.4}% %\special{pa 1000 721}% %\special{fp}% %\special{pa 500 1635.4}% %\special{pa 1000 1635.4}% %\special{fp}% %\special{pa 500 1635.4}% %\special{pa 1000 2549.8}% %\special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \special{pa 500 4378.6}% \special{pa 1000 3464.2}% \special{fp}% \special{pa 500 4378.6}% \special{pa 1000 4378.6}% \special{fp}% \special{pa 500 4378.6}% \special{pa 1000 5293}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\special{pa 180 3007}% %\special{pa 500 1635.4}% %\special{da 0.05}% \special{pa 180 3007}% \special{pa 500 4378.6}% \special{fp}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%% Nota. & Nume. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \put(300,-3067){\makebox(0,0){$s_1$}} %\put(1000,-621){\makebox(0,0){$s_1$}} %\put(1000,-1735.4){\makebox(0,0){$s_2$}} %\put(1000,-2649.8){\makebox(0,0){$s_3$}} \put(1000,-3344.2){\makebox(0,0){$s_1$}} \put(1000,-4458.6){\makebox(0,0){$s_2$}} \put(1000,-5373){\makebox(0,0){$s_3$}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\put(400,-2507){\makebox(0,0){$a_1$}} \put(400,-3507){\makebox(0,0){$a_2$}} %\put(1400,-644.8){\makebox(0,0){$a_1$}} %\put(1400,-949.6){\makebox(0,0){$a_2$}} %\put(1400,-1559.2){\makebox(0,0){$a_1$}} %\put(1400,-1864){\makebox(0,0){$a_2$}} %\put(1400,-2473.6){\makebox(0,0){$a_1$}} %\put(1400,-2778.4){\makebox(0,0){$a_2$}} \put(1400,-3368){\makebox(0,0){$a_1$}} \put(1400,-3672.8){\makebox(0,0){$a_2$}} \put(1400,-4282.4){\makebox(0,0){$a_1$}} \put(1400,-4587.2){\makebox(0,0){$a_2$}} \put(1400,-5196.8){\makebox(0,0){$a_1$}} \put(1400,-5501.6){\makebox(0,0){$a_2$}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\put(200,-2407){\makebox(0,0){\small 0.7}} \put(200,-3607){\makebox(0,0){\small 1.0}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\put(700,-1021){\makebox(0,0){\small\it 0.8}} %\put(800,-1535.4){\makebox(0,0){\small\it 0.1}} %\put(700,-2249.8){\makebox(0,0){\small\it 0.1}} \put(700,-3744.2){\makebox(0,0){\small\it 0.1}} \put(800,-4258.6){\makebox(0,0){\small\it 0.9}} \put(700,-4973){\makebox(0,0){\small\it 0.0}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\put(1200,-542.4){\makebox(0,0){\small 1.0}} %\put(1300,-749.6){\makebox(0,0){\small 0.6}} %\put(1200,-1456.8){\makebox(0,0){\small 1.0}} %\put(1300,-1664){\makebox(0,0){\small 0.6}} %\put(1200,-2371.2){\makebox(0,0){\small 1.0}} %\put(1300,-2578.4){\makebox(0,0){\small 0.6}} \put(1200,-3265.6){\makebox(0,0){\small 1.0}} \put(1300,-3472.8){\makebox(0,0){\small 0.6}} \put(1200,-4180){\makebox(0,0){\small 1.0}} \put(1300,-4387.2){\makebox(0,0){\small 0.6}} \put(1200,-5094.4){\makebox(0,0){\small 1.0}} \put(1300,-5301.6){\makebox(0,0){\small 0.6}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\put(1900,-340){\makebox(0,0){\small\it 0.8}} %\put(2100,-432.4){\makebox(0,0){\small\it 0.1}} %\put(2100,-542.4){\makebox(0,0){\small\it 0.1}} %\put(1900,-797.2){\makebox(0,0){\small\it 0.1}} %\put(2100,-889.6){\makebox(0,0){\small\it 0.9}} %\put(2100,-999.6){\makebox(0,0){\small\it 0.0}} %\put(1900,-1244.4){\makebox(0,0){\small\it 0.0}} %\put(2100,-1336.8){\makebox(0,0){\small\it 0.1}} %\put(2100,-1446.8){\makebox(0,0){\small\it 0.9}} %\put(1900,-1701.6){\makebox(0,0){\small\it 0.8}} %\put(2100,-1794){\makebox(0,0){\small\it 0.1}} %\put(2100,-1904){\makebox(0,0){\small\it 0.1}} %\put(1900,-2153.8){\makebox(0,0){\small\it 0.8}} %\put(2100,-2246.2){\makebox(0,0){\small\it 0.1}} %\put(2100,-2356.2){\makebox(0,0){\small\it 0.1}} %\put(1900,-2626){\makebox(0,0){\small\it 0.1}} %\put(2100,-2703.4){\makebox(0,0){\small\it 0.0}} %\put(2100,-2813.4){\makebox(0,0){\small\it 0.9}} \put(1900,-3063.2){\makebox(0,0){\small\it 0.8}} \put(2100,-3155.6){\makebox(0,0){\small\it 0.1}} \put(2100,-3265.6){\makebox(0,0){\small\it 0.1}} \put(1900,-3525.4){\makebox(0,0){\small\it 0.1}} \put(2100,-3607.8){\makebox(0,0){\small\it 0.9}} \put(2100,-3717.8){\makebox(0,0){\small\it 0.0}} \put(1900,-3972.6){\makebox(0,0){\small\it 0.0}} \put(2100,-4065){\makebox(0,0){\small\it 0.1}} \put(2100,-4175){\makebox(0,0){\small\it 0.9}} \put(1900,-4424.8){\makebox(0,0){\small\it 0.8}} \put(2100,-4517.2){\makebox(0,0){\small\it 0.1}} \put(2100,-4627.2){\makebox(0,0){\small\it 0.1}} \put(1900,-4882){\makebox(0,0){\small\it 0.8}} \put(2100,-4974.4){\makebox(0,0){\small\it 0.1}} \put(2100,-5084.4){\makebox(0,0){\small\it 0.1}} \put(1900,-5339.2){\makebox(0,0){\small\it 0.1}} \put(2100,-5431.6){\makebox(0,0){\small\it 0.0}} \put(2100,-5541.6){\makebox(0,0){\small\it 0.9}} \end{picture} \end{table} \clearpage % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % \begin{center}
\begin{tabular}{cccc}
$u_t=a_1$ & \hspace{30mm} &122.17.2.240 2007年7月12日 (木) 11:48 (JST)& $u_t=a_2$ \\
\cline{1-1}\cline{4-4}
\end{tabular} \end{center} \begin{center}
\begin{tabular}{ccccccccc}
\cline{1-4}\cline{6-9}
\multicolumn{1}{r|}{$x_t＼x_{t+1}$} & $s_1$ & $s_2$ & $s_3$ &
2007年7月12日 (木) 11:48 (JST)122.17.2.240 2007年7月12日 (木) 11:48 (JST)& \multicolumn{1}{r|}{$x_t＼x_{t+1}$} & $s_1$ & $s_2$ & $s_3$ \\
\cline{1-4}\cline{6-9} \\
\noalign{\vskip-4.3mm}
\multicolumn{1}{c|}{$s_1$} & {\it 0.8} & {\it 0.1} & {\it 0.1} & &
\multicolumn{1}{c|}{$s_1$} & {\it 0.1} & {\it 0.9} & {\it 0.0} \\
\multicolumn{1}{c|}{$s_2$} & {\it 0.0} & {\it 0.1} & {\it 0.9} & &
\multicolumn{1}{c|}{$s_2$} & {\it 0.8} & {\it 0.1} & {\it 0.1} \\
\multicolumn{1}{c|}{$s_3$} & {\it 0.8} & {\it 0.1} & {\it 0.1} & &
\multicolumn{1}{c|}{$s_3$} & {\it 0.1} & {\it 0.0} & {\it 0.9} \\
\cline{1-4}\cline{6-9}
\end{tabular}
\end{center}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
不変埋没原理 (0054-a-e-04-1)
\begin{eqnarray} {\rm S}_{1}(x_{1}):\hspace{-2.21mm}& & \sum
\hspace{0.3mm}\sum\hspace{0.3mm}\cdots\hspace{0.3mm}\sum
_{\hspace{-21.1mm}(x_{2}, x_{3}, \cdots , x_{N+1}) \in P_{1}(x_{1})} \hspace{-1.9mm}\psi(g_{1}(x_{1},x_{2}) \circ \cdots \circ
g_{N}(x_{N},x_{N+1}) \circ k(x_{N+1}))\ \nonumber \\[2.34mm]
& & \hspace*{0.8mm}( P_{1}(x_{1}) := \{(x_{2}, \cdots , x_{N+1})\, |\,
x_{n+1} \in A_{n}(x_{n})~~1 \le n \le N \}) \nonumber
\end{eqnarray}
戦略形ゲーム (0071-a-g-03-1)
\[ \begin{array}{@{\ }c|ccc@{\ }}
& 1 & \ldots & n \\ \hline
1 & a_{11}, b_{11} & \ldots & a_{1n}, b_{1n} \\
\vdots & \vdots & \ddots & \vdots \\
m & a_{m1}, b_{m1} & \ldots & a_{mn}, b_{mn}
\end{array}
\]
戦略形ゲーム (0071-a-g-03-2)
\[ \begin{array}{@{\ }c|ccc@{\ }}
& c & d \\ \hline
c & 3, 3 & 0, 4 \\
d & 4, 0 & 1, 1
\end{array}
\ \ \ \ \ \ \ \ \ \ \ \ \ \
\begin{array}{@{\ }c|ccc@{\ }}
& a & b \\ \hline
a & 2, 1 & 0, 0 \\
b & 0, 0 & 1, 2
\end{array}
\]
ゲームの解の計算 (0079-a-g-11-1)
\[ \begin{array}{c|ccc}
& 1 & \ldots & n \\ \hline
1 & a_{11} & \ldots & a_{1n} \\ \vdots & \vdots & \ddots & \vdots \\ m & a_{m1} & \ldots & a_{mn} \end{array} \]
ゲームの解の計算 (0079-a-g-11-2)
\[ \begin{array}{c|cc}
& 1 & 2 \\ \hline
1 & a_{11}, b_{11} & a_{12}, b_{12} \\
2 & a_{21}, b_{21} & a_{22}, b_{22} \\
\end{array} \]
カルマンフィルター (0098-b-h-05-1)
\begin{figure}[hbt] \begin{center} \unitlength=10pt \begin{picture}(23,7.6)(0,0) \put(0.5,4){\vector(1,0){3}} % 2.0 \put(1.3,4.5){\makebox(0,0)[b]{$w_t$}} \put(3.5,3){\framebox(3,2){$B$}} % 4.0 \put(6.5,4){\vector(1,0){1.7}} % 1.2 \put(7.5,4.6){\makebox(0,0){\scriptsize $+$}} \put(8.5,4){\circle{0.6}} %8.5 \put(8.8,4){\vector(1,0){2.2}} \put(9.8,4.7){\makebox(0,0)[b]{$x_{t+1}$}} \put(11,3){\framebox(3,2){$z^{-1}$}} \put(14,4){\vector(1,0){3}} \put(15.5,4.5){\makebox(0,0)[b]{$x_t$}} \put(15.5,4){\circle*{0.1}} \put(17,3){\framebox(3,2){$C$}} \put(20,4){\vector(1,0){2.2}} \put(21.5,4.6){\makebox(0,0){\scriptsize $+$}} \put(22.5,4){\circle{0.6}} \put(22.8,4){\vector(1,0){3}} \put(25,4.5){\makebox(0,0)[b]{$y_t$}} \put(15.5,4){\line(0,-1){4}} \put(15.5,0){\vector(-1,0){1.5}} \put(11,-1){\framebox(3,2){$A$}} \put(11,0){\line(-1,0){2.5}} \put(8.5,0){\vector(0,1){3.7}} \put(7.9,3){\makebox(0,0){$ \scriptstyle + $}} \put(22.5,6.8){\vector(0,-1){2.5}} \put(23,5){\makebox(0,0){$ \scriptstyle + $}} \put(23.5,6.5){\makebox(0,0){$v_t$}} \put(21,0){\makebox(0,0)[b]{$z^{-1}$: {\scriptsize 遅れ作用素}}} \end{picture} \end{center} \caption{状態空間モデル} \label{B-H-05+KALMAN1} \end{figure}
カルマンフィルター (0098-b-h-05-2)
\begin{figure}[hbt] \begin{center} \unitlength=10pt \begin{picture}(23,7.6)(0,0) \put(0,4){\vector(1,0){2.5}} \put(0.5,4.5){\makebox(0,0)[b]{$y_t$}} \put(2,4.6){\makebox(0,0){$ \scriptstyle + $}} \put(4,4.4){\makebox(0,0)[b]{$\nu_t$}} \put(2.8,4){\circle{0.6}} \put(2.8,0){\vector(0,1){3.7}} \put(2.2,3.1){\makebox(0,0){$ \scriptstyle - $}} \put(3.1,4){\vector(1,0){2.3}} \put(5.4,3){\framebox(3,2){$K_t$}} \put(8.4,4){\vector(1,0){2.1}} \put(10.0,4.6){\makebox(0,0){$ \scriptstyle + $}} \put(10.8,4){\circle{0.6}} \put(12.5,4.5){\makebox(0,0)[b]{$\hat{x}_{t/t}$}} \put(11.2,4){\vector(1,0){2.6}} \put(13.8,3){\framebox(3,2){$z^{-1}$}} \put(16.8,4){\vector(1,0){5}} \put(19.5,4.5){\makebox(0,0)[b]{$\hat{x}_{t-1/t-1}$}} \put(19.6,4){\circle*{0.1}} \put(19.6,4){\line(0,-1){4}} \put(19.6,0){\vector(-1,0){2.8}} \put(13.8,-1){\framebox(3,2){$A$}} \put(10.8,0){\circle*{0.1}} \put(10.8,0){\vector(0,1){3.7}} \put(10,3.1){\makebox(0,0){$ \scriptstyle + $}} \put(5.4,-1){\framebox(3,2){$C$}} \put(2.8,0){\line(1,0){2.6}} \put(13.8,0){\vector(-1,0){5.4}} \put(12,-1){\makebox(0,0)[b]{$\hat{x}_{t/t-1}$}} \end{picture} \end{center} \caption{カルマンフィルターのブロック線図} \label{B-H-05+KALMAN2} \end{figure}
待ち行列 (0112-b-a-01-1)
\[
\rho = \frac{サービス要求量}{サービス処理能力}
\]
待ち行列 (0112-b-a-01-2)
\begin{figure} \setlength{\unitlength}{.6mm} \begin{center} \begin{picture}(60, 35)(0, 5) \thicklines \put(10, 39){\line(1, 0){16}} \put(26, 32){\oval(14, 14)[tr]} \put(33, 32){\line(0, -1){4}} \put(10, 34){\line(1, 0){14}} \put(24, 31){\oval(6, 6)[tr]} \put(27, 31){\line(0, -1){3}} \put(23, 39){\line(0, 1){3}} \put(21, 39){\line(0, 1){3}} \put(22, 43.5){\oval(8, 3)}
\put(0, 15){\oval(8, 14)[tr]} \put(14, 15){\oval(20, 14)[bl]} \put(14, 5){\oval(24, 6)[tr]} \put(60, 15){\oval(8, 14)[tl]} \put(46, 15){\oval(20, 14)[br]} \put(46, 5){\oval(24, 6)[tl]}
\thinlines \put(4, 18){\line(1, 0){52}} \multiput(27.5, 29)(1, 0){6}{\line(0, -1){5}} \multiput(26.5, 4)(1, 0){8}{\line(0, -1){4}} \end{picture} \end{center} \caption{流体近似 : 水道のイメージ} \label{B-A-01+suidou} \end{figure}
待ち行列 (0112-b-a-01-3)
\begin{figure} \setlength{\unitlength}{1mm} \begin{center} \thicklines \begin{picture}(65, 20)(0, 7) \put(10, 15){\vector(1, 0){7.5}} \put(45, 15){\vector(1, 0){7.5}} \put(20, 12.5){\line(1, 0){15}} \put(20, 17.5){\line(1, 0){15}} \put(25, 12.5){\line(0, 1){5}} \put(30, 12.5){\line(0, 1){5}} \put(35, 12.5){\line(0, 1){5}} \put(37.5, 10){\line(0, 1){10}} \put(42.5, 10){\line(0, 1){10}} \put(37.5, 10){\line(1, 0){5}} \put(37.5, 15){\line(1, 0){5}} \put(37.5, 20){\line(1, 0){5}} \put(32.5, 15){\circle{4}} \put(40, 12.5){\circle{4}} \put(40, 17.5){\circle{4}}
\put(0, 15){\makebox(0, 0){客の到着}} \put(25.5, 7){\makebox(0, 0){待ち行列}} \put(40, 4){\makebox(0, 0){窓口}} \put(57.5, 15){\makebox(0, 0){退去}} %\put(27.5, 23){\makebox(0, 0){待ち時間}} %\put(40, 27.5){\makebox(0, 0){サービス時間}} \end{picture} \end{center} \caption{待ち行列のイメージ図} \label{B-A-01+queue1} \end{figure}
待ち行列モデルの標準形 (0113-b-a-02-1)
\begin{figure}[htb] \unitlength 1mm \thicklines \begin{center} \begin{picture}(130, 60)(0, 10) \put(0, 40){\vector(1, 0){20}} \put(105, 40){\vector(1, 0){20}} % \multiput(25, 32)(0, 16){2}{\line(1, 0){45}} \multiput(25, 32)(10, 0){2}{\line(0, 1){16}} \multiput(50, 32)(10, 0){3}{\line(0, 1){16}} \put(70, 40){\line(1, 0){15}} \put(85, 20){\line(0, 1){40}} \put(85, 20){\line(1, 0){5}} \put(85, 45){\line(1, 0){5}} \put(85, 60){\line(1, 0){5}} % \put(95, 20){\circle{10}} \put(95, 45){\circle{10}} \put(95, 60){\circle{10}} % \put(10, 45){\makebox(0, 0){客の到着}} \put(10, 35){\makebox(0, 0){到着過程}} \put(30, 40){\makebox(0, 0){$N$}} \multiput(38.75, 40)(3.75, 0){3}{\circle*{.7}} \put(55, 40){\makebox(0, 0){$c$+2}} \put(65, 40){\makebox(0, 0){$c$+1}} \put(47.5, 53){\makebox(0, 0){待合室}} \put(95, 70){\makebox(0, 0){窓口}} \put(95, 60){\makebox(0, 0){1}} \put(95, 45){\makebox(0, 0){2}} \multiput(95, 28.75)(0, 3.75){3}{\circle*{.7}} \put(95, 20){\makebox(0, 0){$c$}} \put(95, 10){\makebox(0, 0){サービス時間分布}} \put(115, 45){\makebox(0, 0){客の退去}} % \put(77.5, 48){\makebox(0, 0){\shortstack{サ\\\rule{.6pt}{7pt}\\ビ\\ス}}} \put(77.5, 35){\makebox(0, 0){\shortstack{規\\律}}} % \end{picture} \end{center} \caption{待ち行列の標準形 */*/{\it c}/{\it N}} \end{figure}
待ち行列ネットワーク (0123-b-b-01-1)
\begin{figure}[htbp] \begin{center} %\includegraphics[bbllx=0, bblly=210mm, bburx=230mm, bbury=260mm, %height=40mm]{. . /b-b/tandem.eps} \setlength{\unitlength}{1mm} \begin{picture}(108, 20)(0, -10) \thicklines \put(0, 0){\vector(1, 0){8}} \multiput(9, -2.5)(0, 5){2}{\line(1, 0){7}} \put(16, -2.5){\line(0, 1){5}} \put(16, 0){\line(1, 0){2}} \put(21, 0){\circle{6}} \put(24, 0){\vector(1, 0){8}} \multiput(33, -2.5)(0, 5){2}{\line(1, 0){7}} \put(40, -2.5){\line(0, 1){5}} \put(40, 0){\vector(2, 3){4}} \put(40, 0){\vector(2, -3){4}} \put(47, 7.5){\circle{6}} \put(47, -7.5){\circle{6}} \put(47, 0){\makebox(0, 1.2){$\vdots$}} \put(50, 6){\vector(2, -3){4}} \put(50, -6){\vector(2, 3){4}} \multiput(55, -2.5)(0, 5){2}{\line(1, 0){7}} \put(62, -2.5){\line(0, 1){5}} \put(62, 0){\line(1, 0){2}} \put(67, 0){\circle{6}} \put(70, 0){\vector(1, 0){5}} \put(80, 0){\makebox(0, 0){$\cdots$}} \multiput(84, -2.5)(0, 5){2}{\line(1, 0){7}} \put(91, -2.5){\line(0, 1){5}} \put(91, 0){\line(1, 0){2}} \put(96, 0){\circle{6}} \put(99, 0){\vector(1, 0){9}} \end{picture} \end{center} \caption{直列型待ち行列} \label{B-B-01+tandem-model} \end{figure}
待ち行列ネットワーク (0123-b-b-01-2)
\begin{figure}[htbp] \begin{center} %\includegraphics[bbllx=0, bblly=210mm, bburx=230mm, bbury=260mm, %height=40mm]{. . /b-b/central.eps} \setlength{\unitlength}{1mm} \begin{picture}(72, 33)(0, -13) \thicklines \put(0, -1){\vector(1, 0){10}} \put(0, -1){\line(0, 1){21}} \put(0, 20){\line(1, 0){72}} \put(72, 0){\line(0, 1){20}} \put(62, 0){\line(1, 0){10}} \put(6, 1){\vector(1, 0){4}} \put(6, 1){\line(0, 1){7}} \put(6, 8){\line(1, 0){23}} \put(29, 0){\vector(0, 1){8}} \multiput(11, -2.5)(0, 5){2}{\line(1, 0){7}} \put(18, -2.5){\line(0, 1){5}} \put(18, 0){\line(1, 0){2}} \put(23, 0){\circle{6}} \put(26, 0){\line(1, 0){12}} \put(38, -10){\line(0, 1){20}} \put(38, 10){\vector(1, 0){5}} \multiput(44, 7.5)(0, 5){2}{\line(1, 0){7}} \put(51, 7.5){\line(0, 1){5}} \put(51, 10){\line(1, 0){2}} \put(56, 10){\circle{6}} \put(59, 10){\line(1, 0){3}} \put(38, -10){\vector(1, 0){5}} \multiput(44, -7.5)(0, -5){2}{\line(1, 0){7}} \put(51, -7.5){\line(0, -1){5}} \put(51, -10){\line(1, 0){2}} \put(56, -10){\circle{6}} \put(59, -10){\line(1, 0){3}} \put(62, -10){\line(0, 1){20}} \put(48, 0){\makebox(0, 1.2){\Huge $\vdots$}} \end{picture} \caption{セントラルサーバモデル}\label{B-B-01+central-server-model} \end{center} \end{figure}
待ち行列の生産システムへの応用 (0131-b-c-03-1)
\begin{figure}[hb] \begin{center} %\includegraphics[bbllx=0mm, bblly=0mm, bburx=500mm, %bbury=300mm]{BC03ZU. eps} \setlength{\unitlength}{1mm} \begin{picture}(121, 15)(0, -4.5) \thicklines \put(5, 0){\vector(1, 0){8}} \multiput(5, -4)(0, 8){2}{\line(1, 0){26}} \multiput(15, -4)(8, 0){3}{\line(0, 1){8}} \put(35.5, 0){\circle{9}} \put(35.5, 0){\makebox(0, 0){\Large $s_1$}} \put(40, 0){\vector(1, 0){5}} \multiput(45, -4)(0, 8){2}{\line(1, 0){20}} \multiput(45, -4)(10, 0){3}{\line(0, 1){8}} \put(69.5, 0){\circle{9}} \put(69.5, 0){\makebox(0, 0){\Large $s_2$}} \put(74, 0){\vector(1, 0){3}} \put(81.5, 0){\circle{9}} \put(81.5, 0){\makebox(0, 0){\Large $s_3$}} \put(86, 0){\vector(1, 0){3}} \put(93, 0){\makebox(0, 0){\Large $\cdots$}} \put(97, 0){\vector(1, 0){3}} \multiput(100, -4)(0, 8){2}{\line(1, 0){9}} \multiput(100, -4)(9, 0){2}{\line(0, 1){8}} \put(113.5, 0){\circle{9}} \put(113.5, 0){\makebox(0, 0){\Large $s_N$}} \put(118, 0){\vector(1, 0){3}} \put(0, 2.1){\makebox(0, 0){需}} \put(0, -2.1){\makebox(0, 0){要}} \put(19, 8){\makebox(0, 0){バッファ}} \put(55, 8){\makebox(0, 0){バッファ}} \put(104.5, 8){\makebox(0, 0){バッファ}} \end{picture} \caption{直列生産ライン} \label{fig:line} \end{center} \end{figure}
間接費管理 (0157-c-j-07-1)
% 図表1 製品のコスト・利益・価格 % ┌───┬───┐ % │ 利益 │ │ % ┌──────┼───┤ │ % │ 一般管理費 │ │ │ % ├──────┤ │ │ % │ 販売費 │ │ 価 │ % ┌─────┬───┼──────┤ 総 │ │ % │間接経費 │ 間 │ │ │ │ % ├─────┤ │ │ │ │ % │間接労務費│ 接 │ │ コ │ │ % ├─────┤ │ │ │ │ % │間接材料費│ 費 │ │ ス │ 格 │ % ┌─────┼─────┴───┤ 製造原価 │ │ │ % │直接経費 │ 直 │ │ ト │ │ % ├─────┼─────┐ │ │ │ │ % │直接労務費│ 素 │ 接 │ │ │ │ % ├─────┤ │ │ │ │ │ % │直接材料費│ 価 │ 費 │ │ │ │ % │ │ │ │ │ │ │ % └─────┴─────┴───┴──────┴───┴───┘ %
\renewcommand{\arraystretch}{1.5} {\small \begin{table} \caption{製品のコスト・利益・価格}\label{c-j-07-hyou1} \begin{center} \begin{tabular}{|l|l|c|c|c|c|} \cline{5-6} \multicolumn{4}{c|}{} &利益& \\
\cline{4-5}
\multicolumn{3}{c|}{} & 一般管理費 & & \\
\cline{4-4}
\multicolumn{3}{c|}{} & 販売費 & & 価 \\
\cline{2-4}
\multicolumn{1}{c|}{}& 間接経費 & 間 & & 総 & \\
\cline{2-2}
\multicolumn{1}{c|}{}& 間接労務費 & 接 & & コ & \\
\cline{2-2}
\multicolumn{1}{c|}{}& 間接材料費 & 費 & & ス & 格 \\
\cline{1-3}
直接経費 &\multicolumn{1}{c}{} &直&製造原価& ト & \\
\cline{1-2}
直接労務費 &\multicolumn{1}{c|}{素}&接& & & \\
\cline{1-1}
直接材料費 &\multicolumn{1}{c|}{価}&費& & & \\ \hline \end{tabular} \end{center} \end{table} }
研究開発 (0178-c-j-14-1)
\[研究開発効率(ROI)＝\frac{事業収益}{研究開発費}\]
産業連関分析 (0204-c-d-07-1)
\begin{table}[h] \caption{産業連関表}\label{C-D-07+hyou1} \vspace{0.3cm}
% \footnotesize
\normalsize \def\pbox[#1]{\parbox[t]{1zw}{#1}}
$\begin{array}{|c|p{2.5cm}|cccc|cccccc|c|c|} \hline \multicolumn{2}{|c|}{} & \multicolumn{4}{|c|}{中間部門} & \multicolumn{6}{c| }{最終需要} & & \\ \cline{3-12} \multicolumn{2}{|c|}{} & & \pbox[産業1] & \pbox[産業2] & \pbox[産業n] & \pbox[民間消費] & \pbox[政府消費] & \pbox[民間設備投資] & \pbox[政府設備投資] & \pbox[在庫調整] & \pbox[輸出] & \pbox[輸入] & \pbox[合計] \\ \hline 中 & 産業1 & & X_{11} & X_{12} & X_{1n} & C_{1} & G_{1} & IP_{1} & IG_{1} & J_{1} & E_{1} & M_{1} & X_{1} \\ 間 & 産業2 & & X_{21} & X_{22} & X_{2n} & C_{2} & G_{2} & IP_{2} & IG_{2} &
J_{2} & E_{2} & M_{2} & X_{2} \\
部 & ... & & . & . & . & . & . & . & . & . & . & . & . \\ 門 & 産業ｎ & & X_{n1} & X_{n2} & X_{nn} & C_{n} & G_{n} & IP_{n} & IG_{n} &
J_{n} & E_{n} & M_{n} & X_{n} \\
\hline 総 & 家計外消費支出 & & N_{1} & N_{2} & N_{n} & & & & & & & & N \\ 付 & 雇用者所得 & & Y_{1} & Y_{2} & Y_{n} & & & & & & & & Y \\ 加 & 営業余剰 & & O_{1} & O_{2} & O_{n} & & & & & & & & O \\ 価 & 資本減耗引当 & & D_{1} & D_{2} & D_{n} & & & & & & & & D \\ 値 & 間接税補助金 & & T_{1} & T_{2} & T_{n} & & & & & & & & T \\ \hline
\multicolumn{2}{|c|}{合計} & & X_{1} & X_{2} & X_{n} & C & G & IP & IG & J
& E & M & \\ \hline \end{array}$
\normalsize
\end{table}
軍事モデル (0206-c-d-06-1)
%\vskip30pt %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{table}[h]\label{C-D-06+boukuu} \begin{center} \begin{tabular}{cccc} \cline{4-4} & & \multicolumn{1}{c|}{} & 監視管制機能\\ \cline{4-4} & & \multicolumn{1}{c|}{レーダー監視}& 整備補給機能\\ \cline{3-3} \cline{4-4} & \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{} & 基地業務機能\\ \cline{4-4} & \multicolumn{1}{c|}{警戒監視} & 代替監視 & 移動警戒機能\\ \cline{2-2} \cline{3-3} \cline{4-4} \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{} & 自動管制 & 防空管制機能\\ \cline{3-3} \cline{4-4} \multicolumn{1}{c|}{}&&&\\ \cline{4-4} \multicolumn{1}{c|}{防空}& & \multicolumn{1}{c|}{} &飛行機能\\ \cline{1-1} \cline{4-4} \multicolumn{1}{c|}{}& & \multicolumn{1}{c|}{戦闘機部隊} & 整備補給機能\\ \cline{3-3} \cline{4-4} \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{} & 基地業務機能\\ \cline{4-4} \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{要撃} & & \\ \cline{2-2} \cline{4-4} & \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{} & 射撃機能\\ \cline{4-4} & \multicolumn{1}{c|}{} & \multicolumn{1}{c|}{高射部隊}& 整備補給機能\\ \cline{3-3} \cline{4-4} & & \multicolumn{1}{c|}{} & 指揮運用機能\\ \cline{4-4}
\end{tabular}
\end{center}
\end{table}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
積分幾何学 (0207-c-e-01-1)
%\begin{figure}[h] %\begin{center} %%\vspace*{40mm} %%%%%%%%%%%%%%%%%%%%%%%%%% %\includegraphics{C-E-01f+2.eps} %\caption{直線に下ろした垂線} \label{fig:C-E-01+2} %\end{center} %\end{figure}
\begin{figure}[h] \begin{center} \begin{picture}(300,170)(-50,-20) %\put(-50,-20){\framebox(300,170)} \put(0,0){\vector(1,0){220}} \put(220,0){\makebox(0,0)[l]{\large $ x $ }} \put(0,0){\vector(0,1){130}} \put(0,130){\makebox(0,0)[b]{\large $ y $ }} \put(0,0){\line(1,2){50}} \put(-10,100){\line(2,-1){220}} \put(140,30){\makebox(0,0)[bl]{\large $ g $ }} \put(22,71){\line(2,-1){11}} \put(22,71){\line(1,2){5}} \put(20,50){\makebox(0,0)[tr]{\large $ p $ }} \put(0,0){\makebox(0,0)[tr]{O}} \put(5,0){\oval(15,20)[tr]} \put(15,15){\makebox(0,0)[l]{\large $ \theta $ }} \end{picture} \vspace{-10mm} \caption{直線に下ろした垂線} \label{fig:C-E-01+2} \end{center} \end{figure}
積分幾何学 (0207-c-e-01-2)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\begin{figure}[p] %\begin{center} %\vspace*{40mm} %\includegraphics{C-E-01+4.eps} %\caption{曲線と直線} \label{fig:C-E-01+4} %\end{center} %\end{figure}
\begin{figure}[h] \begin{center} \begin{picture}(300,170)(-50,-20) %\put(-50,-20){\framebox(300,170)} \put(0,0){\vector(1,0){220}} \put(220,0){\makebox(0,0)[l]{\large $ x $ }} \put(0,0){\vector(0,1){130}} \put(0,130){\makebox(0,0)[b]{\large $ y $ }} \put(0,0){\line(2,1){150}} \put(100,-10){\line(-1,2){70}} \put(90,10){\makebox(0,0)[bl]{\large $ g $ }} \put(71,22){\line(-1,2){5}} \put(71,22){\line(2,1){11}} \put(40,30){\makebox(0,0)[tr]{\large $ p $ }} \put(0,0){\makebox(0,0)[tr]{O}} \put(15,0){\oval(11,15)[tr]} \put(30,10){\makebox(0,0)[tl]{\large $ \theta $ }} \put(30,110){\oval(60,80)[br]} \put(56.2,77.6){\vector(2,3){40}} \put(56.6,85.5){\oval(9,8)[t]} \put(56,89.5){\makebox(0,0)[b]{\large $ \varphi $ }} \put(55.5,72){\makebox(0,0)[t]{\large P}} \put(30,70){\makebox(0,0)[r]{\large A}} \put(60,115){\makebox(0,0)[b]{\large B}} \end{picture} \vspace{-5mm} \caption{曲線と直線} \label{fig:C-E-01+4} \end{center} \end{figure} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
積分幾何学 (0207-c-e-01-3)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\begin{figure}[p] %\begin{center} %\vspace*{40mm} %\includegraphics{C-E-01+5.eps} %\caption{ $ C $ と交わる確率} \label{fig:C-E-01+5} %\end{center} %\end{figure}
\begin{figure}[h] \begin{center} \begin{picture}(300,140)(-50,-10) % \put(-50,-10){\framebox(300,140)} \put(-10,130){\line(2,-1){220}} \put(-30,130){\line(1,-1){130}} \put(40,50){\circle{80}} \put(90,60){\oval(200,100)} \put(150,90){\makebox(0,0)[bl]{\large $ C_0 $ }} \put(60,60){\makebox(0,0)[l]{\large $ C $ }} \end{picture} \vspace{-5mm} \caption{ $ C $ と交わる確率} \label{fig:C-E-01+5} \end{center} \end{figure} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
ANP (0231-a-h-08-1)
\begin{table} \caption{$A_i$の$C_j$による評価} \label{A-H-08+tab:1st} \begin{center} \begin{tabular}{c|cc|} \multicolumn{1}{c}{} &\multicolumn{1}{c}{$C_1$} &\multicolumn{1}{c}{$C_2$} \\ \cline{2-3} $A_1$ & $u_{11}$ & $u_{12}$ \\ $A_2$ & $u_{21}$ & $u_{22}$ \\ $A_3$ & $u_{31}$ & $u_{32}$ \\ \cline{2-3} \end{tabular} \end{center} \end{table}
ANP (0231-a-h-08-2)
\begin{table} \caption{$C_i$の$A_j$による評価}\label{A-H-08+tab:2nd} \begin{center} \begin{tabular}{c|ccc|} \multicolumn{1}{c}{} &\multicolumn{1}{c}{$A_1$} &\multicolumn{1}{c}{$A_2$} &\multicolumn{1}{c}{$A_3$} \\ \cline{2-4} $C_1$ & $w_{11}$ & $w_{12}$ & $w_{13}$ \\ $C_2$ & $w_{21}$ & $w_{22}$ & $w_{23}$ \\ \cline{2-4} \end{tabular} \end{center} \end{table}
ANP (0231-a-h-08-3)
\begin{equation} S= \begin{array}{c|cccccc|} \multicolumn{1}{c}{} &\multicolumn{1}{c}{C_1} &\multicolumn{1}{c}{C_2} &\multicolumn{1}{c}{} &\multicolumn{1}{c}{A_1} &\multicolumn{1}{c}{A_2} &\multicolumn{1}{c}{A_3}\\ \cline{2-7} C_1 &0 &0 & &w_{11} &w_{12} &w_{13} \\ C_2 &0 &0 & &w_{21} &w_{22} &w_{23} \\ A_1 &u_{11} &u_{12} & &0 &0 &0 \\ A_2 &u_{21} &u_{22} & &0 &0 &0 \\ A_3 &u_{31} &u_{32} & &0 &0 &0 \\ \cline{2-7} \end{array} \label{A-H-08+eq:1st} \end{equation}
ANP (0231-a-h-08-4)
\begin{figure}[htbp] \begin{center} %\includegraphics[8.2cm,3.5cm]{Fig1.bmp} %WinTpicVersion2.15 \unitlength 0.1in \begin{picture}(26.25,8.00)(1.75,-11.15) % STR 2 0 3 0 % 3 1000 700 1000 800 5 0 % $C_1$ \put(10.0000,-4.0000){\makebox(0,0){$C_1$}}% % STR 2 0 3 0 % 3 2200 700 2200 800 5 0 % $C_2$ \put(22.0000,-4.0000){\makebox(0,0){$C_2$}}% % STR 2 0 3 0 % 3 400 1500 400 1600 5 0 % $A_1$ \put(4.0000,-12.0000){\makebox(0,0){$A_1$}}% % STR 2 0 3 0 % 3 1600 1500 1600 1600 5 0 % $A_2$ \put(16.0000,-12.0000){\makebox(0,0){$A_2$}}% % STR 2 0 3 0 % 3 2800 1500 2800 1600 5 0 % $A_3$ \put(28.0000,-12.0000){\makebox(0,0){$A_3$}}% % VECTOR 2 0 3 0 % 14 1000 900 400 1500 400 1500 1000 900 1000 900 1600 1500 1600 1500 2200 900 %2200 900 2800 1500 2800 1500 2200 900 2200 900 1600 1500 % \special{pn 8}% \special{pa 1000 500}% \special{pa 400 1100}% \special{fp}% \special{sh 1}% \special{pa 400 1100}% \special{pa 461 1067}% \special{pa 438 1062}% \special{pa 433 1039}% \special{pa 400 1100}% \special{fp}% \special{pa 400 1100}% \special{pa 1000 500}% \special{fp}% \special{sh 1}% \special{pa 1000 500}% \special{pa 939 533}% \special{pa 962 538}% \special{pa 967 561}% \special{pa 1000 500}% \special{fp}% \special{pa 1000 500}% \special{pa 1600 1100}% \special{fp}% \special{sh 1}% \special{pa 1600 1100}% \special{pa 1567 1039}% \special{pa 1562 1062}% \special{pa 1539 1067}% \special{pa 1600 1100}% \special{fp}% \special{pa 1600 1100}% \special{pa 2200 500}% \special{fp}% \special{sh 1}% \special{pa 2200 500}% \special{pa 2139 533}% \special{pa 2162 538}% \special{pa 2167 561}% \special{pa 2200 500}% \special{fp}% \special{pa 2200 500}% \special{pa 2800 1100}% \special{fp}% \special{sh 1}% \special{pa 2800 1100}% \special{pa 2767 1039}% \special{pa 2762 1062}% \special{pa 2739 1067}% \special{pa 2800 1100}% \special{fp}% \special{pa 2800 1100}% \special{pa 2200 500}% \special{fp}% \special{sh 1}% \special{pa 2200 500}% \special{pa 2233 561}% \special{pa 2238 538}% \special{pa 2261 533}% \special{pa 2200 500}% \special{fp}% \special{pa 2200 500}% \special{pa 1600 1100}% \special{fp}% \special{sh 1}% \special{pa 1600 1100}% \special{pa 1661 1067}% \special{pa 1638 1062}% \special{pa 1633 1039}% \special{pa 1600 1100}% \special{fp}% % VECTOR 2 0 3 0 % 4 1000 900 2800 1500 2800 1500 1000 900 % \special{pn 8}% \special{pa 1000 500}% \special{pa 2800 1100}% \special{fp}% \special{sh 1}% \special{pa 2800 1100}% \special{pa 2743 1060}% \special{pa 2749 1083}% \special{pa 2730 1098}% \special{pa 2800 1100}% \special{fp}% \special{pa 2800 1100}% \special{pa 1000 500}% \special{fp}% \special{sh 1}% \special{pa 1000 500}% \special{pa 1057 540}% \special{pa 1051 517}% \special{pa 1070 502}% \special{pa 1000 500}% \special{fp}% % VECTOR 2 0 3 0 % 4 2200 900 400 1500 400 1500 2200 900 % \special{pn 8}% \special{pa 2200 500}% \special{pa 400 1100}% \special{fp}% \special{sh 1}% \special{pa 400 1100}% \special{pa 470 1098}% \special{pa 451 1083}% \special{pa 457 1060}% \special{pa 400 1100}% \special{fp}% \special{pa 400 1100}% \special{pa 2200 500}% \special{fp}% \special{sh 1}% \special{pa 2200 500}% \special{pa 2130 502}% \special{pa 2149 517}% \special{pa 2143 540}% \special{pa 2200 500}% \special{fp}% \end{picture}% \caption{ネットワーク構造} \label{A-H-08+fig:1st} \end{center} \end{figure}
用語編
最大カット問題 (a-f-02-04f)
\[ \sum_{\tiny \begin{array}{c} i\in X\\ j\in V-X \end{array}}\: w_{ij} \]