MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C73A1E.F9168120" このドキュメントは単一ファイル Web ページ (Web アーカイブ ファイル) です。お使いのブラウザ、またはエディタは Web アーカイブ ファイルをサポートしていません。Microsoft Internet Explorer など、Web アーカイブをサポートするブラウザをダウンロードしてください。 ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法

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マスタ タイトルの書式設定
マスタ テキストの書式設定
第 2 レベル
第 3 レベル
第 4 レベル
第 5 レベル
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マスタ タイトルの書式設定
マスタ サブタイトルの書式設定
<= 日付時刻
<フッター
<#>
------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/master05.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/master02.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis"
<= /div>
<= /div>
<= /div>
<ヘッダー>= ;
<= /div>
<= /div>
<= /div>
<日付/時刻>
<= /div>
<= /div>
<= /div>
<フッター>= ;
<= /div>
<= /div>
<= /div>
<#>
------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
意思決定科= 学：　包絡分析法
情報学部　堀田敬介
2007年1月16日（火）
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考えよう
vあなたは６つの店舗を= もつ社長だ．今年１年間の業績が最もよい店舗を表彰して他店舗の模範とし，次年度も切磋琢磨= させたい．さて，あなたはどの店舗を表彰するのか？
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file:///C:/72785C17/06dmt_7.files/slide0036_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAd ABQAgQAAAACAgAD//wECAwJIhA+hy43/gpi00gBzsnxiHXXcBx6SWJHlhl6r2bovG6vlWc90axvN EvP8PrigyKYwjno+pQyUDCp0xQ7zVhXqINXrNjnd3nQFADs= ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0037.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
考えよう
vあなたは６つの店舗を= もつ社長だ．今年１年間の業績が最もよい店舗を表彰して他店舗の模範とし，次年度も切磋琢磨= させたい．さて，あなたはどの店舗を表彰するのか？
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Contents
vDEAとは何か？ = ;
vDMUに対する入力が1，出力が1のケース = ;
vDMUに対する入力が2，出力が1のケース
vDMUに対する入力が1，出力が2のケース = ;
vDMUに対する入力が2以上，出力が2以上の一般的ケース
vDEAの基本的モデル：CCRモデル
v生産可能集合とその他のモデル = ;
v凸包モデル = ;
vBCCモデル = ;
vIRSモデル = ;
vDRSモデル = ;
vGRSモデル
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最も変換効= 率の良いDMUを<= /span>= 基準として，他のDMUの非効率性を算出し，比較する． = ただし，変換効率はDMU毎に= 最も有利になるように= 計算．
DEAとは？
vDEA (Data Env= elopment Analysis)
DMU&#= 13;
Decision Making Unit=
<= ![if !ppt]>3D"テキスト
…
<= ![if !ppt]>3D"テキスト
…
入力(m個)
出力(s個)
DMU
Decision Making Unit
仮想的入力
仮想的出力
DMUの変換効率＝
仮想的出力
仮想的入力
比率尺度を効率性と見なして相対比較 <= /div>
envelope=3D封筒
envelop=3D包む
envelopment=3D包むこ= と
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DEAとは？
v1入力・1出力
v営業所の営業マン人数と売上について（[2] p.1）
DMU
Decision Making Unit
入力
出力
8
6
5
5
4
3
3
2
営業マン数&#= 13;
5
3
2
4
3
2
3
1
売上高
H
G
F
E
D
C
B
A
営業所(DMU)
営業マン数
売上高
入力
出力
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意思決定科学　7．包絡分析法
DEAとは？
v1入力・1出力
v営業所の営業マン人数と売上について（[2] p.1）
0.625
0.50
0.40
0.80
0.75
0.67
1.00
0.50
売上高/営業マン数
0.625
0.50
0.40
0.80
0.75
0.67
1.00
0.50
効率値&#= 13;
H
G
F
E
D
C
B
A
営業所(DMU)
1
2
3
4
5
6
7
8
1
2
3
4
5
o
営業マン数
3D"テキスト
売上高
A<= /span>
B<= /span>
C<= /span>
D<= /span>
E<= /span>
F<= /span>
G<= /span>
H<= /span>
効率的フロンティア <= /span>
生産可能集合<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:Tahoma;mso-fa= reast-font-family: "ＭＳ Ｐゴシック";color:fuchsia;mso-special-format:lastCR;display:none'>&#= 13;
効率的DMU
非効率的DMU
出力/入力
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R0lGODlhPAAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAA6 ABUAhAAAAJkzZv/O///R///V///d///Z///T///P///l///t///0///5///9///+///7///3///x ///p///h/////wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwXzYCCOZGme6AmsbOsG QizPdG3ftejuazD8wKBwSCwWA7wXYclsOp/QqFSXBAQK2Kx2y+16v1hkMpAom8/otHrNNot3AYV8 Tq/b7/g8ndoKLP6AgYKDhIWGg289DIuMjY6PkJGSkHwBDZeYmZqbnJ2enmIBFKOkpaanqKmqqyMO rq+wsbKztLW2SAEPuru8vb6/wMHAVAEQxsfIycrLzM3LiQER0tPU1dbX2NnVfD0S3t/g4eLj5OXg iSwBE+vs7e7v8PHy69x9Bvf4+fr7/P3+BuheHBhIsKDBgwgTKgz4AoHDhxAjSpxIcWI9Hikyatx4 MUkIADs= ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0007.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
DEAとは？
v2入力・1出力
vデパートの各店舗の売上（cf. [2] p.5）
DMU
Decision Making Unit
入力
出力
3
6
6
H
4
3
5
2
4
8
9
4
従業員数&#= 13;
8
6
2
4
2
1
3
3
売場面積
2
2
1
2
2
2
3
1
売上高&#= 13;
I
G
F
E
D
C
B
A
店舗(DMU)
従業員数
売上高
入力１
出力
入力２
売場面積
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D<= /span>
E<= /span>
DEAとは？
v2入力・1出力
vデパートの各店舗の売上（cf. [2] p.5）
2
2
H
2
3/2
5
1
2
4
3
4
従業員数/売上高
4
3
2
2
1
1/2
1
3
売場面積/売上高
I
G
F
E
D
C
B
A
店舗(DMU)
1
2
3
4
5
1
2
3
4
o
従業員数/売上高
3D"テキスト
売場面積|売上高
A<= /span>
B<= /span>
C<= /span>
F<= /span>
G<= /span>
H<= /span>
効率的DMU=
非効率的DMU
入力1/出力
入力2/出力
I<= /span>
生産可能集合<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:Tahoma;mso-fa= reast-font-family: "ＭＳ Ｐゴシック";color:fuchsia;mso-special-format:lastCR;display:none'>&#= 13;
効率的フロンティア <= /span>
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DEAとは？
v2入力・1出力
vデパートの各店舗の売上（cf. [2] p.5）
効率的DMU
非効率的DMU
D
E
1
2
3
4
5
1
2
3
4
o
従業員数/売上高
3D"テキスト
売場面積|売上高
A
B
C
F
G
H
I
非効率的DMU H<= /span> <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の
非効率値は…
DMU D,E が H<= /span> <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の
有位集合（or= 参照集合）
効率的DMU C,D,E<= /i> <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の
効率値は１<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-special-format:lastCR;display:none'>
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text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
DEAとは？
v1入力・2出力
v各営業所の取引先と売上（cf. [2] p.7）
DMU
Decision Making Unit
入力
出力
24
10
8
4
9
2
2
取引先数
8
10
12
3
12
7
10
売上高
4
2
2
1
3
1
2
営業マン数
G
F
E
D
C
B
A
営業所(DMU)
営業マン数
売上高
入力
出力１
取引先数
出力２
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D<= /span>
E<= /span>
DEAとは？
v1入力・2出力 = ;
v各営業所の取引先と売上（cf. [2] p.7）
2
5
6
3
4
7
5
売上高/営業マン数
6
5
4
4
3
2
1
取引先数/営業マン数
G
F
E
D
C
B
A
営業所(DMU)
1
2
3
4
5
1
2
3
4
o
売上高/営業マン数 3D"テキスト
取引先数|営業マン数
A<= /span>
B<= /span>
C<= /span>
F<= /span>
G<= /span>
効率的DMU=
非効率的DMU
出力1/入力
出力2/入力
生産可能集合<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:Tahoma;mso-fa= reast-font-family: "ＭＳ Ｐゴシック";color:fuchsia;mso-special-format:lastCR;display:none'>&#= 13;
効率的フロンティア <= /span>
5
6
6
7
非効率的DMU D<= /span> <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の
非効率値は，<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-fareast-language:JA'>OD= /<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-fareast-language:JA'>OP = ;
優位集合は，G, F<= /span>
非効率的DMU A<= /span> <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の
非効率値は，<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-fareast-language:JA'>OA= /<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-fareast-language:JA'>OQ = ;
優位集合は，B
※）Q<= /span>は非効率なのでBを目指す！
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DEAとは？
v2入力・2出力 = ;
v販売会社の従業員・店舗数と来客数・売上高（[4] p.8） <= /div>
DMU
Decision Making Unit
出力
45
20
12
31
50
37
33
30
35
40
26
10
従業員数
65
78
12
G
77
68
22
H
33
48
15
I
36
16
10
J
23
64
12
K
35
41
20
60
68
32
21
売上高
72
38
23
76
80
37
23
来客数
26
10
21
28
15
10
8
店舗数
L
F
E
D
C
B
A
会社(DMU)
来客数
入力１
出力１
売上高
出力２
入力２
入力
従業員数
店舗数
どうしよう= ？
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DEAとは？
v2入力・2出力 = ;
v販売会社の従業員・店舗数と来客数・売上高（[4] p.8）
DMU
Decision Making Unit
出力
来客数
売上高
入力
従業員数
店舗数
仮想的入力 ：＝ v<= /span>1×従業員数　＋　v<= /span>2×店舗数
仮想的出力 ：＝ u1×来客数　= 　 ＋　u<= /span>2×売上高
効率性（生産性） ：＝ 仮想的出力 / 仮想的入力
可変ウェイト！&= #13;
⇔　固定ウェイト
※） 可変ウェイト・固定ウェイト，それぞ= れのメリットとデメリットは？
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DEAとは？
v2入力・2出力 = ;
v販売会社の従業員・店舗数と来客数・売上高（[4] p.8）
DMU&#= 13;
Decision Making Unit=
仮想的入力 ：＝ v<= /span>1×従業員数　＋　v<= /span>2×店舗数
仮想的出力 ：＝ u1×来客数　= 　 ＋　u<= /span>2×売上高
45
20
12
31
50
37
33
30
35
40
26
10
従業員数
65
78
12
G
77
68
22
H
33
48
15
I
36
16
10
J
23
64
12
K
35
41
20
60
68
32
21
売上高
72
38
23
76
80
37
23
来客数
26
10
21
28
15
10
8
店舗数
L
F
E
D
C
B
A
会社(DMU)<= /div>
仮想的入力
仮想的出力
＜各DMUの効率値＞
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DMU&#= 13;
Decision Making Unit=
DMU&#= 13;
Decision Making Unit=
CCRモデル
v多入力・多出力
DMU&#= 13;
Decision Making Unit=
3D"テキスト
…
入力(m個)
n個
3D"テキスト
…
出力(s個)
DMU数（n個）
DMU数（n個）
入力データ行列
出力データ行列
入力<= /span>数(m)
出力<= /span>= 数(s)
入力データ用ウェイトベクトル
出力データ用ウェイトベクトル
DMUkの仮想入力
DMUkの仮想出力
x1k
x2k
…
xmk
y1k
y2k
…
ysk
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CCRモデル
v多入力・多出力 = ;
v測定対象DMUo(o=3D1,…,n)のウェイトを計算する
全てのDMUの効率性は1以下
対象のDMUの効率性を最大化
<FPo>
分数計画問題
入出力用可変ウェイトの変数は非負
線形計画問題
<LPo>
= 同
値
([1])
= <FP= o>の目的関数について
分母を1にし，分子を最大化
<FP= o>の制約の分母を払う
注）全部でn個の<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";mso-fareast-language:JA'>LP= を解く！
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------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0022.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
CCRモデル
v多入力・多出力 = ;
v測定対象DMUo(o=3D1,…,n)のウェイトを計算する
v例）　「意思決定科学」受講学生の効率性
<FPA>
60
50
1
1
16
F
u2
u1
v3
v2
v1
24
70
55
90
30
期末試験 y2
1
0.9
0.8
0.9
1
x3
20
30
15
20
40
勉強時間 x1
0.9
0.5
1
0.2
0.8
授業集中度 x2
70
20
30
60
40
中間試験 y1
E
D
C
B
A
学生（DMU）
学生A （DMU A）のウェイト計算LP
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Def：　 DMUo の優位集合（or 参照集合）
Le= m： DMUoがD非効率的，即ち　　　　　なら
CCRモデル
v多入力・多出力 = ;
v効率性について
<LPo>
Def：　 DMUo がD効率的　⇔
DMUo がD非効率的　⇔
この等号を満たすkの集合をDMUoの優位集合（or 参照集合)という
Eoに属するDMUはD効率的
注） D効= ｦ的だからといっ= て効率的とは言えない
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CCRモデル
v多入力・多出力 = ;
v<LPo>の双対問題と最適解に= ついて
<LPo>
双対問題
入力i の重み和
DMUoの入力i
出力j の重み和
DMUoの出力j
3D"ホームベ=
入力の余剰
3D"ホームベ=
出力の不足
CCRモデル
<Do>
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R0lGODlhbwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBt AAEAgAAAAP8AAAIMDIynyesNn4x02koLADs= ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0017_image280.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhbwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBt AAEAgAAAAP8AAAIMDIynyesNn4x02koLADs= ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0018.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
CCRモデル
v多入力・多出力 = ;
v入力の余剰と出力の不= 足を求める
<LP<= /span><= i>o>の最適値
出力の不足の和
入力の余剰= の和
<Do>を解いて最適解 　　　　　　　　　を得た後，
このLPを解いて最適解　　　　　　　　　　　= @　　　を得る．
Def： DEA効率性の定義
となるDMUはDEA効率的
それ以外のDMUはDEA非効率的
DEAの実行手順=
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file:///C:/72785C17/06dmt_7.files/slide0019.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
CCRモデル
v例題（[3] p.15）
6
2
3
4
4
4
入力1 x1
1
4
2
1
3
2
入力2 x2
1
1
1
1
1
1
出力 y
F
E
D
C
B
A
DMU
DMU A = についての問題
= <= ![endif]>
入力）　0.83×A =3D 0.33×<= span lang=3DEN-US style=3D'font-family:Tahoma;mso-ascii-font-family:Tahoma;mso-= fareast-language: JA'>C+0.67×D
出力）         　<= span lang=3DEN-US style=3D'font-family:Tahoma;mso-ascii-font-family:Tahoma;mso-= fareast-language: JA'>A =3D 0.33×C+0.67×<= span lang=3DEN-US style=3D'font-family:Tahoma;mso-ascii-font-family:Tahoma;mso-= fareast-language: JA'>D
DMU A は<= /span>DEA非効率的で= ，
有位集合はDMU C，<= /span>D
D<= /span>
E<= /span>
A<= /span>
B<= /span>
C<= /span>
F<= /span>
1
2
3
4
5
1
2
3
4
o
入力1/出力
入力2|出力
6
0.83
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Content-Location: file:///C:/72785C17/06dmt_7.files/slide0020.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
CCRモデル
v例題（[3] p.15）
6
2
3
4
4
4
入力1 x1
1
4
2
1
3
2
入力2 x2
1
1
1
1
1
1
出力 y
F
E
D
C
B
A
DMU
DMU C = についての問題
<= ![endif]>
DMU C は<= /span>DEA効率的
D<= /span>
E<= /span>
A<= /span>
B<= /span>
C<= /span>
F<= /span>
1
2
3
4
5
1
2
3
4
o
入力1/出力
入力2|出力
6
1<= /span>
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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
DMU F は<= /span>DEA非効率的
優位集合はCで，入力余= 剰が入力1で2
CCRモデル
v例題（[3] p.15）
6
2
3
4
4
4
入力1 x1
1
4
2
1
3
2
入力2 x2
1
1
1
1
1
1
出力 y
F
E
D
C
B
A
DMU
DMU F = についての問題
<= ![endif]>
D<= /span>
E<= /span>
A<= /span>
B<= /span>
C<= /span>
F<= /span>
1
2
3
4
5
1
2
3
4
o
入力1/出力
入力2|出力
6
2
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file:///C:/72785C17/06dmt_7.files/slide0021_image367.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhMQALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAv AAkAgAAAADNm/wIkhI+pFusPIwhN2otaxfzR83UZRZYmuZyqCYquUm3vHM52bc8FADs= ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0025.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
DEAの特徴
v= 特徴（長所・短所） = ;
v他と異なった特徴を持つDMUは，DEA効率的と判断されやすい
v →　他と異なることが良いことの場合は，DEAは良い指標 = ;
v全てのDEA効率値が大きい値を持つ場合がある
vDEA効率的と判断されるDMUが非常に多い場合がある
------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0026.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
例題（DEAを用いた野球打者評価）
CCRモデルによる&#= 13;
v2005年度シーズンのセ・パ両リーグ打率上位各30人の打者（計60人）について，DEAにより評価
DMU
野球打者
出力
安打
打点
入力
打数
三振
＝ 与えられる打席を得点に結びつけるシステム&#= 13;
四死球
犠打
盗塁
注：三振は少ない方がよいので入力に… <= /span>
データ（一部加工）
Yahoo!= スポーツ <= /span>プロ野球
個人成績 <= /span>打率
2006年1月11日3時9分&#= 13;
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例題（DEAを用いた野球打者評価）
CCRモデルによる
v2005年度シーズンのセ・パ= 両リーグ打率上位各30人の打者（計60人）について，DEAにより評価 = ;
<= span style=3D'font-size:71%;mso-fareast-hint:yes'>v結果例：2005年度セ・リーグ打率30位 石井琢朗（横） = ;
v
v
v
v
v
<= span style=3D'font-size:71%;mso-fareast-hint:yes'>v結果例：2005年度セ・リーグ打率14位 <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-fareast-font-family:"ＭＳ Ｐゴ= Vック";font-size: 71%;mso-fareast-hint:yes'>二岡智宏（巨）
<D<= /span>o>を解いた結果：θ=3D0.8007，λ<= span lang=3DEN-US style=3D'font-family:"Times New Roman";mso-ascii-font-family:= "Times New Roman"; mso-hansi-font-family:"Times New Roman";font-size:67%;position:relative; top:.37em;mso-text-raise:-25%;mso-fareast-language:JA'>3=3D0.1638= ，λ5=3D0.2670，λ8=3D0.1765= ，λ37=3D0.3476
各入力）　0.8007×石井琢郎 = =3D 0.1638×金本知憲（阪）+ 0.2670×井端弘和（中）
+ 0.1765×赤星憲広（阪）+ 0.3476×城島健司（ソ）
各出力）　　        = ;  　石井琢郎 =3D 0.1638×金本知憲（阪）+ 0.2670×井端弘和（中）
+ 0.1765×赤星憲広（阪）+ 0.3476×城島健司（ソ）
<D<= /span>o>を解いた結果：θ=3D0.9053，λ1=3D0.3890，λ3=3D0.1581= ，λ4=3D0.0225，λ7=3D0.2917=
各入力）　0.9053×二岡智宏 = =3D 0.3890×青木宣親（ヤ）+ 0.1581×金本知憲（阪）
+ 0.0225×金城龍彦（横）+ 0.2917×前田智徳（広）
各出力）　　        = ;  　二岡智宏 =3D 0.3890×青木宣親+ 0.1581×金本知憲（阪）
+ 0.0225×金城龍彦（横）+ 0.2917×前田智徳（広）
注<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:Tahoma;mso-fa= reast-font-family: "ＭＳ Ｐゴシック";font-size:67%;mso-fareast-hint:yes'>：<Do= >のモデル化，解は cplex9.0 による&#= 13;
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生産可能集= 合
v生産可能集合<= span style=3D'font-size:88%'> P
DMU&#= 13;
Decision Making Unit=
DMU&#= 13;
Decision Making Unit=
DMU&#= 13;
Decision Making Unit=
3D"テキスト
…
入力(m個)
n個
3D"テキスト
…
出力(s個)
x1k
x2k
…
xmk
y1k
y2k
…
ysk
3D"テキスト
入力データ行列&#= 13;
3D"テキスト
出力データ行列&#= 13;
(x, y)：活動（＝入力と出力の対= j
P=3D{(x, y)}：生産可能集合（＝活動の集合）
規模の収穫が一定
(constant returns to scale)<= /div>
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P CCRモデル） <= /span>
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
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file:///C:/72785C17/06dmt_7.files/slide0028_image408.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhBgJlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALNoAQQCY AA4AgAAAAAAAAAKzhI8Qye3fFpy02otT2FyenTEd6JDhiU4eulZmCr3wDHuj/I1KbuC8JvHtFC3h p9eiKXvLIXGR/AGhEZDM+CQ2t0mSMRiUVh9YrRPxDW+XUc4ZbbUdxyoVldy+r5V5induhmaBZeUn orc3E/U2thKHaOi26HZCmUgzucjj6FV0w4kUCld1c3jJppGlacmUWFRz2gQaePXqmqNplxubsQvY KshbFuPLi+Frg1NszNwM7Nd1UAAAOw== ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0029.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
生産可能集= 合
v= ｢規模の収穫が一定｣とは？
規模の収穫が一定=
(constant returns to scale)
価値など
3D"テキスト
効用（満足度）
O
注：一般には価値が大きくなるほど，= 効用の増加量は減る場合が多い．=
= 収穫逓減
(decreasing returns to scale)
(increasing returns to scale)
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生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P CCRモデル）
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
入力
3D"テキスト
出力
O<= /span>
D<= /span>
E<= /span>
A<= /span>
B<= /span>
C<= /span>
F<= /span>
G<= /span>
H<= /span>
=
CCRモデル
（1入力・1<= /span>出力）
実際の問題は
θxo と yo を使う
Charnes-Cooper-Rhodes
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imOV92amhRcoECHxxBRXbPF9xRhnjMIXst5I5XW2UtEFF2CUbPLJKKes8sosp3xFFYW2WStOT1hh 880456zzzjz37PPNYTzh8bJWigHF0UgnrfTSTDft9NNMNyFGvZ3OkoQSWGet9dZcd+3112CHjXUw H4MSiixop6322my37fbbcLMtSkWN1G333XgjEggAOw== ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0031.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P 凸包モデル） <= /span>
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
=
L,Uの取り方= = により変わる
=
実際の問題は<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:78%;display:none'>
θxo と yo を使う
O
の取り得る範囲
の条件による
=
注：CCRモデルは，凸包モデルの L<= /span>=3D0, U<= /span>=3D∞ <= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; mso-fareast-hint:yes'>の場合とみなせる
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R0lGODlhxAApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAADC ACgAgAAAAICAgAKmRIynyesNn4x02oqvznz7fADiSJbmiabqyrbuC8fyTNf2jef6fgYhDwwKh8Si 8YhM1nzKpvMJjUqnUyb1is1qt1yjtQsOi8dk6beMTqvXbNS5DY/L5883/Y7P62H2vf8PONcXSFho yDV4qLjIeJTYCBkpOfM4aXmJKVKZydl5uOkZKpoHOmp6ulaKusrapdoKGxv1KltrW8T0odvBu+vb C/wrHMxRAAA7 ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0032.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P 凸包モデル１：BCCモデル[L=3DU=3D1]） <= /span>
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
=
入力
3D"テキスト
出力
O<= /span>
D<= /span>
E<= /span>
A<= /span>
B<= /span>
C<= /span>
F<= /span>
G<= /span>
H<= /span>
実際の問題は<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:78%;display:none'>
θxo と yo を使う
BCCモデル
（1入力・1<= /span>出力）
BCCの効率値は一般CCRより大になる
Banker-Charnes-Cooper
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------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0033.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P 凸包モデル２：IRSモデル[L=3D1,U=3D= ∞]
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
=
入力
3D"テキスト
出力
O
D
E
A
B
C
F
G
H
実際の問題は<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:78%;display:none'>
θxo と yo を使う
IRSモデル
（1入力・1<= /span>出力）
比較的規模の小さい活動の効率性を重視
Increasing Returns to Scale
収穫逓増
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生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P 凸包モデル３：DRSモデル[L=3D0,U=3D1]<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:63%;mso-fareast-hint:yes'>） <= /span>
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
=
入力
3D"テキスト
出力
O
D
E
A
B
C
F
G
H
実際の問題は<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:78%;display:none'>
θxo と yo を使う
DRSモデル
（1入力・1<= /span>出力）
比較的規模の大きい活動の効率性を重視
Decreasing Returns to Scale
収穫逓減
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lSHplEwJlhoplkpJljOJlgyplglplkXJlgkJlwMpl3OZlXS5j3dJj3kZj3vJl3aZlT75l4L5lH3p joWJjodpkYlJjos5jm4plI35kJH5jZPpjY8JlJXpjZnJjZvJmYM5loDZmdgomqP5maC5laFpmmep mm/JmpDpmpgJm1Ipm1aJmrZ5m6eJm6tJmzBJmtfom8IInMHJm71JnF9pnCEpnD6knMuJnBrJnDwE nTuEAR45kdKpQ9TpnBMZEAA7 ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/slide0035.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis" 意思決定科学　7．包絡分析法
生産可能集= 合
v生産可能集合<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:63%'> P 凸包モデル４：GRSモデル[L= ≦1,U≧1]
v（１） 現在の各DMUの活動 (xi, yi) (i=3D1,…,n) は P に属する <= /span>
v（２） P に属す活動 = (x, y) k倍した活動 (kx, ky) も P に属する <= /span>
v（３） P に属す活動 = (x, y) も P に属する
v（４） P に属す活動 = (x, y) P に属する
=
入力
3D"テキスト
出力
O
D
E
A
B
C
F
G
H
実際の問題は<= span style=3D'font-family:"ＭＳ Ｐゴシック";mso-ascii-font-family:"Times New Ro= man"; mso-fareast-font-family:"ＭＳ Ｐゴシック";mso-hansi-font-family:"Times New= Roman"; font-size:78%;display:none'>
θxo と yo を使う
GRSモデル
（1入力・1<= /span>出力）
BCCの生産可能集合を拡大
効率値はBCCより悪い
General Returns to Scale
現存の活動の規模をある程度縮小拡大した= ものまで認める立場&#= 13;
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参考文献
v[1] A. Charnes, W.W. Cooper, and E. Rhodes, ``Measuring the Efficiency of Decision Making Units’’, European Journal of <= /span>Operational Research, Vol.2, pp.429-444, 1978 v[2] 刀根薫「経営効率性の測定と改善〜包絡分析法DEAによる〜」日科技連（1993）
v[3] 末吉俊幸「DEA〜経営効率分析法〜」朝倉書店（2001） = ;
v[4] 森雅夫・松井知己「オペレーションズ・リサーチ」朝倉書店（2004） = ;
v[5] …
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sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { =09 sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); =09 if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis()=20 { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans )=09 { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply()=09 } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis()=20 { if( !IsNts() ) return false=20 SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) {=20 nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.filter !=3D ""; } function GetSldId()=20 { var regExp =3D /file:\/\/\//i var pos =3D location.href.search(regExp) if (MHTMLPrefix !=3D "" && pos !=3D -1) sId =3D location.href.substring(pos) else { sId =3D RemoveFilePrefixFromHref(location.href); var regExp =3D /\// var fixedHref =3D sId var pos =3D -1 =09 pos =3D fixedHref.search(regExp) while (pos !=3D -1) { fixedHref =3D fixedHref.replace(regExp, "\\") pos =3D fixedHref.search(regExp) } =09 if (g_fBaseHyperlink =3D=3D true) sId =3D "file:///" + fixedHref; else sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1) } =09 return sId } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } } var g_HLinkArray =3D new Array(); =20 function IMapAreaObj( areaObj, coords ) { this.areaObj =3D areaObj; this.coords =3D coords; } function InitHLinkArray() { var appVer =3D navigator.appVersion; var msie =3D appVer.indexOf ( "MSIE " ) var ver =3D 0; if ( msie >=3D 0 ) ver =3D parseInt ( appVer.substring( msie+5 ) ); linkNum =3D 0; for (i=3D0; i 4 ) ) g_HLinkArray[linkNum++] =3D new IMapAreaObj( areaObj, ParseCoords( ar= eaObj.coords ) ); } } function ScaleHyperlinks( factor ) { =20 for ( ii=3D0; ii< g_HLinkArray.length; ii++) { coordsStr=3D""; imaObj =3D g_HLinkArray[ii]; for ( jj=3D0; jj < imaObj.coords.length-1; jj++ ) coordsStr +=3D (imaObj.coords[jj]*factor) + ","; coordsStr +=3D (imaObj.coords[jj]*factor); imaObj.areaObj.coords =3D coordsStr; } } function ParseCoords( coordsStr ) { var numArray =3D new Array(); var i =3D curPos =3D commaPos =3D 0; while ( ( commaPos =3D coordsStr.indexOf(",", curPos) ) !=3D -1 ) {=20 numArray[i++] =3D parseInt( coordsStr.substr( curPos, commaPos ) ); curPos =3D commaPos + 1; } numArray[i] =3D parseInt( coordsStr.substr( curPos ) ); return numArray; } function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { =09 if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"スライド ショーの最後です。 クリックすると終了します。"= , SCREEN_MODE=3D"Frames", gIsEndShow=3D0, NUM_VIS_SLDS=3D36, SCRIPT_HREF=3D= "script.js", FULLSCR_HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var g_fBaseHyperlink =3D false; var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,-1,1),new hrefList(= "slide0036.htm",1,-1,1),new hrefList("slide0037.htm",1,-1,1),new hrefList("= slide0002.htm",1,-1,1),new hrefList("slide0004.htm",1,-1,1),new hrefList("s= lide0005.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("sl= ide0007.htm",1,-1,1),new hrefList("slide0008.htm",1,-1,1),new hrefList("sli= de0009.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("slid= e0011.htm",1,-1,1),new hrefList("slide0012.htm",1,-1,1),new hrefList("slide= 0013.htm",1,-1,1),new hrefList("slide0038.htm",1,-1,1),new hrefList("slide0= 014.htm",1,-1,1),new hrefList("slide0015.htm",1,-1,1),new hrefList("slide00= 22.htm",1,-1,1),new hrefList("slide0016.htm",1,-1,1),new hrefList("slide001= 7.htm",1,-1,1),new hrefList("slide0018.htm",1,-1,1),new hrefList("slide0019= .htm",1,-1,1),new hrefList("slide0020.htm",1,-1,1),new hrefList("slide0021.= htm",1,-1,1),new hrefList("slide0025.htm",1,-1,1),new hrefList("slide0026.h= tm",1,-1,1),new hrefList("slide0027.htm",1,-1,1),new hrefList("slide0028.ht= m",1,-1,1),new hrefList("slide0029.htm",1,-1,1),new hrefList("slide0030.htm= ",1,-1,1),new hrefList("slide0031.htm",1,-1,1),new hrefList("slide0032.htm"= ,1,-1,1),new hrefList("slide0033.htm",1,-1,1),new hrefList("slide0034.htm",= 1,-1,1),new hrefList("slide0035.htm",1,-1,1),new hrefList("slide0003.htm",1= ,-1,1)); /********************************************* Frameset functions These functions control slide navigation and state of the frameset. **********************************************/ function RemoveFilePrefixFromHref(href) { var regExp =3D /^file:\/\/\//i; return href.replace(regExp, "") } function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) {=09 var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix();=20 function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') {=20 href=3Dnew String(document.location.href)=20 Start=3Dhref.indexOf('!')+1=20 End=3Dhref.lastIndexOf('/')+1=20 if (End < Start)=20 return href.substring(0, Start)=20 else=20 return href.substring(0, End)=20 } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ClearMedia() { // Clear any sounds playing before launching another browser window. Other= wise, // in fullscreen mode, you'll continue to hear the sound in the frames mod= e. if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() {=20 if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if (MHTMLPrefix !=3D "") href =3D RemoveFilePrefixFromHref(href) if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { =20 obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else =20 return gCurSld } function GetNumSlds() { =20 if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; =09 if (MHTMLPrefix !=3D "") PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref= )) else PPTSld.location.replace(obj.mSldHref) =09 if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 if (MHTMLPrefix !=3D "") PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href)) else PPTSld.location.replace(href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; =09 var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document var dir =3D doc.body.dir if( dir !=3D "rtl" ) dir =3D "ltr"; doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); /********************************************* Navigation button implementation There are 2 types of buttons: ImgBtn, TxtBtn implemented as function objects. They share a similiar interface so the event handlers can call SetActive, for example, on a button=20 object without needing to know exactly=20 what type of button it is. **********************************************/ //---------------------------------- function ImgBtn( oId,bId,w,action ) //---------------------------------- { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0=20 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { =20 obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0=20 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } =20 } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } //----------------------------------------- function TxtBtn( oId,oeId,action,chkState ) //----------------------------------------- { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { =20 this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) {=20 if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } =20 } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1=20 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etPressed() } function _BSetA_BorderImg() {=20 b =3D gBtnArr[this.mBorderId]=20 if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _BSetI_BorderImg() {=20 b =3D gBtnArr[this.mBorderId] if( b !=3D null && this.mIsOn && !b.GetState() ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN= tsPane ) gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg; gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg; gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.= ToggleNtsPane,GetNtsState ) gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To= ggleNtsPane,GetNtsState ) gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n= b_prevBorder",30,parent.GoToPrevSld ) gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n= b_nextBorder",30,parent.GoToNextSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice= ","nb_voiceBorder",18,parent.ToggleVNarration ) gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT= xt","nb_otlTxtBorder",23,parent.ToggleOtlText ) gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts" gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState /********************************************* Context menu implementation _CM() is the function that's hooked up to the oncontextmenu event. Once we're asked to show the menu, we first build it by creating DIVs on-the-fly. Then we position it=20 within the screen area so it doesn't get clipped. Creating the DIVs using createElement() means we don't have to write out any extra HTML into the slide HTML files. **********************************************/ var sNext=3D"次へ",sPrev=3D"前へ",sEnd=3D"スライド ショーの終了",sFont=3D"= lＳ 明朝",sArrow=3D"矢印",sFreeform=3D"フリーフォーム",sRect=3D"四角形",sOv= al=3D"楕円" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) =09 CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();= PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; 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charset="shift_jis" 意思決定科学　7．包絡分析法 ------=_NextPart_01C73A1E.F9168120 Content-Location: file:///C:/72785C17/06dmt_7.files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="shift_jis"
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