著者 仲川 勇二
雑誌名 東アジア経済・産業の新潮流
ページ 144‑167
発行年 2013‑03‑31
URL http://hdl.handle.net/10112/8102
Kansai University
␠ળ䊶ડᬺ䊶ੱ䈱 䊥䉴䉪ಽᢔ䈫ᜬ⛯น⢻ᕈ
-
ᦨㆡൻ⎇ⓥ䈱┙႐䈎䉌-
㑐ᄢቇ
✚วᖱႎቇㇱ ખᎹ ാੑ
㑐ᄢቇ↥ᬺ䉶䊚䊅䊷 㪉㪇㪈㪉ᐕ㪈㪇㪈㪎ᣣ
ᦨ
ᦨㄭ䈱᧪
ᄢ₺⚕䈱⚻༡⠪䈏⚂100
ం䉩䊞䊮䊑䊦䈪୫㊄
䊌䊅䉸䊆䉾䉪䈏ዦፒᎿ႐䈱㐽㎮
䉲䊞䊷䊒䈱ጊᎿ႐䈱ળ␠ൻ
ାൻቇᎿᬺ䇮㜞䈱ਛ䈪䉅ቯ䈚䈩㜞䈇⋉
1
Kansai University
ౝኈ
⑳䈱ᦨㆡൻ⎇ⓥ
䉩䊞䊮䊑䊦䈫䊥䉴䉪
ੱ䈱䊥䉴䉪ᦨዊൻ
ડᬺ䈱䊥䉴䉪ᦨዊൻ
␠ળో䈱䊥䉴䉪ᦨዊൻ
䊅䉾䊒䉱䉾䉪㗴䋨
ᣂ⡞⸥䋩
3
Kansai University
䊘䊷䊃䊐䉤䊷䊥䉥ᦨㆡൻ䋨
ᣂ⡞⸥䋩
Hello Everyone,
I HAVE VERY GOOD NEWS -- with "some" more work we can have our paper accepted in Management Science.
…
Cesar Rego Professor
University of Mississippi
Entropy-based Optimization of Nonlinear Separable Discrete Decision Models
Yuji Nakagawa, Ross J.W. James, César Rego, Chanaka Edirisinghe
㪠㪙㪤䈱㪚㪧㪣㪜㪯䈮 ㆊ䋱䋰ᐕ㑆ൎ 䈤⛯䈔䈩䈇䉎䇯
5
Kansai University
7
Kansai University
㪤㪸㫅㪸㪾㪼㫄㪼㫅㫋㩷㪪㪺㫀㪼㫅㪺㪼㩷䈮
ឝタ䈏䉁䉏䈳䇮ᦨㆡൻ䈱ಽ㊁䈪 䈲ᣣᧄੱ䈫䈚䈩䈲䋴䋳ᐕ䈹䉍䇯
㕖✢ᒻ䊅䉾䊒䉱䉾䉪㗴
㘶䉂‛
ᨐ‛
䈍⩻ሶ
৻䈧 ㆬᛯ
৻䈧 ㆬᛯ
৻䈧 ㆬᛯ
৻䈧 ㆬᛯ
⾌↪䋬㊀䈘䋬ኈⓍ䈱㒢ౝ䈪䋬ᅢ䉁䈚䈘䈱ᐲ ว䈇䋨ੱᎿⴡᤊ䈱႐วା㗬ᐲ䋩䉕ᦨᄢ䈮䈜 䉎⚵ว䈞䉕䉄䉎
ᑯᒰ
9
Kansai University
• HopeExact (Exact method for MNK)
• HopeNear (Near-optimal method for MNK)
• HopePP (Problem Partition for huge MNK)
• HopeFinance (Financial Optimization Problems)
• HopeMultiobjective (Multi-objective Optimization)
HOPE
( Hybrid Optimization Process Equipment) ⶄวဳᦨㆡൻㆊ⒟ⵝ⟲
ㄭૃ⸃ᴺ
ᄙ⋡⊛ᦨㆡൻ
෩ኒ⸃ᴺ
ਗ⸃ᴺ ᦨዊ䋲ਸ਼ᴺ
䉩
䉩䊞䊮䊑䊦䈫ᛩ⾗
ࠡࡖࡦࡉ࡞
⋉ࠍᓧࠆੱࠃࠅ㧘៊ࠍߔࠆੱߩᣇ߇ ᄙ㧚
࠲ࡦߩᐔဋ୯߇ࡑࠗ࠽ࠬ㧚
ᛩ⾗㧔ዋߥߊߣ߽ᛩ⾗ߩᲑ㓏ߢߪ㧕
ඨᢙએߩੱ߇⋉ࠍᓧࠆ
࠲ࡦߩᐔဋ୯߇ࡊࠬ㧚
11
Kansai University
䉮䉟䊮ᛩ䈕
䌁
䋱ᨎ䈱䉮䉮䉟䊮䉕ᛩᛩ䈕䇮 䈏䈢䉌100䈱ఢ 䈔䇯 ⵣ䈏䈢䉌100䈱 ៊䈫䈜䉎䋨䊦䊷䊧䉾 䊃䉇䊋䉦䊤╬䋩䇯
ប㒰₸䋨䈩䉌㌛䋩䋰䋦 䈱႐ว
䋲䋰䋰
䋰
0.5
0.5
䌂
䋱䋹䋶
䋰
0.5
0.5
ប㒰₸䋨䈩䉌㌛䋩䋲䋦 䈱႐ว
ᛩ
ᛩ⾗䈱ၮᧄ
䌁
㧢㧜ਁࠍᛩ⾗ߔࠆ႐วޔ㧭߹ߚߪ㧮ߩ ᛩ⾗వߩߤߜࠄࠍㆬ߮߹ߔ߆㧫
㧝ᐕᓟߩฃข㗵 㧔ᐔဋ㧕㧝㧞㧜ਁ
䋲䋰䋰ਁ
䋴䋰ਁ
0.5
0.5
䌂
㧝ᐕᓟߩฃข㗵 㧔ᐔဋ㧕㧤㧞ਁ
䋱䋰䋰ਁ
䋸䋰ਁ
0.1
0.9
13
Kansai University
ᛩ⾗䈱ၮᧄ
䌁 䋱
㧢㧜㧜ਁࠍᛩ⾗ߔࠆ႐วޔ㧭߹ߚߪ㧮 ߩᛩ⾗వߩߤߜࠄࠍㆬ߮߹ߔ߆㧫
⁛┙ᕈ߇㜞
䌂䋱
㧝ᐕᓟߩฃข㗵 ᐔဋ㧤㧞㧜ਁ
䌁
䋲 … 䌁䋱䋰
㧝ᐕᓟߩฃข㗵 ᐔဋ㧝㧞㧜㧜ਁ
䌂䋲 … 䌂䋱䋰
⁛┙ᕈ߇㜞
ᛩ
ᛩ⾗䈱ၮᧄ
䈪䈐䉎䈣䈔䊥䉴䉪 ⋧㑐 䈱䈭䈇ᛩ⾗వ䈮 ಽᢔ ᛩ⾗䈜䉎䋮
15
Kansai University
ᛩ⾗䈱ၮᧄ
䊥䉴䉪䊓䉾䉳䉕ⴕ䈉䇯
䋮䉥䊥䉣䊮䉺䊦䊤䊮䊄
៊
៊ᄬ䈏䈢႐ว䈱ᛩ⾗
D
ᛩ⾗వ%ߦਁᛩ⾗ߒߡਁߩ៊ᄬ߇
ߡ߹ߔޕߘߩ߹߹ᛩ⾗ࠍ⛯ߌ߹ߔ߆㧫
㧝ᐕᓟߩฃข㗵
䋱䋰䋰ਁ
䋲䋰ਁ
0.5
0.5 C
㧝ᐕᓟߩฃข㗵
䋵䋰ਁ
䋴䋰ਁ
0.1
0.9
17
Kansai University
ᛩ⾗䈱ᄬᢌ
䌁 䋱
⼾ਛߩ⠧ᆌᆂߩ႐ว
ᢙంߩㆮ↥ࠍ⋧⛯ߒߥ߇ࠄޔ̖
ޘߩ႐ᚲߦ
䌁
䋲 … 䌁䋱䋰
Ფߩฃข㗵
ਁ
䌁 䋱 䌁
䋲 … 䌁䋱䋰
หߓ႐ᚲߦ
Ფߩฃข㗵 㧡㧡ਁ
㐳ᦼㆇ↪䈮䈲
䉟䊮䊂䉾䉪䉴ㆇ↪䈏⦟䈇
䊐䉜䊮䊄䋺 ᛩ⾗ኅ䈎䉌㓸䉄䉌䉏䈢⾗㊄䉕ᆔ⸤ળ␠䈏ㆇ↪䈚䇮䈠 䈱ᚑᨐ䉕ᛩ⾗ኅ䈮ㆶర䈜䉎䉅 䈱䇯䋨ಽ㈩ဳ䈲ᦨᖡ䋩 䊌䉾䉲䊑䊐䉜䊮䊄䋨䈢䈫䈋䈳ᣣ⚻ᐔဋㅪേဳ䋩
䉟䊮䊂䉾䉪䉴ㆇ↪䋺ᣣ⚻ᐔဋᩣଔ䉇TOPIX䈫䈇䈦䈢ᜰᮡ䈱േ䈐䈮ㅪ
േ䈜䉎ㆇ↪ᚑᨐ䉕⋡ᮡ䇯䋨Ꮢ႐䈱ᐔဋ୯䉕⋡ᜰ䈜䋩
䉝䉪䊁䉞䊑䊐䉜䊮䊄
䉝䉪䊁䉞䊑ㆇ↪䋺Ꮢ႐䉟䊮䊂䉾䉪䉴䋨ᣣ⚻ᐔဋᩣଔ䉇TOPIX䈭䈬)䉋 䉍㜞䈇䊌䊐䉤䊷䊙䊮䉴䉕 䈜䈖䈫䉕⋡⊛䈮䈚䈢ㆇ↪ᚻᴺ䇯
䋨Ꮢ႐ᐔဋએਅ䈱ᚑ❣ 䈱䉅䈱䈏ᄙ䈇䋮ᤨᦼ䈮䉅䉋䉎䈏䋷
ഀ೨ᓟ䋩
19
Kansai University
䈅䉎㌁ⴕ䈱ᚻᢙᢱ
ା⸤ႎ㈽䋨⚐⾗↥✚㗵䈱ᦨᄢᐕ⚂ 2.1䋦䋩
ᛩ⾗ା⸤䈱ᚻᢙᢱ
ᩣଔ䈲ᣣ䈮䋲䋦⒟ᐲ䈱ᄌേ䈲䈙䉌䈮䈅䉎䋮 ᐕ2 䋦䈱ା⸤ႎ㈽䈲⠨ᘦ䈮୯䈚䈭䈇䋿
䋲䋰䋱䋰ᐕ䋱䋱䋺ኅ䋨100䋛䋩䉕䋱ජਁ䈪⾼
䋲䋰䋵䋰ᐕ䋱䋱䋺ኅ䋨100䋛䋩䉕䋱ජਁᄁළ
䋴䋰ᐕ㑆䈱▤ℂ⾌䋨ᚻᢙᢱ䋩䈱ว⸘
䈲
55.4
䋳䋛100䋛*0.9840=44.57䋛 䋱䋰䋰䋛 䋭44.57䋛 䋽55.4䋳 䋛
ᛩ⾗ା⸤䈱ᚻᢙᢱ
ඨಽએ䈏▤ℂ ળ␠䈱䉅䈱
21
Kansai University
ᛩ⾗ା⸤䈱ᚻᢙᢱ
ᚻᢙᢱ䈱ᦨዊൻ 䈏㊀ⷐ
ో䈪⏕ታ䈭ᛩ⾗వ 䈲ሽ䈚䈭䈇䇯 ಽᢔᛩ⾗䈚䈎䈭䈇
⠧
⠧ᓟ⾗㊄䈱ᦨㆡൻ
䋨ᐕ㊄╬䈱䈢䉄䈱㐳ᦼ⾗↥ㆇ↪䋩
23
Kansai University
䉟䊮䊂䉾䉪䉴ㆇ↪䈏ㆡ䈚䈩䈇䉎
䂾 Ფಽ㈩ဳ䊐䉜䊮䊄䈲ᦨᖡ
䂾 ETF䋨႐ᛩା䋩䈲ㆇ↪ᚻᢙᢱ䈏䈇 䂾 ETF䈱ਛ䈮䈲㊄ዻ䇮⾗Ḯ䇮Ⓝ‛╬䈱
ᛩ⾗వ䈏䈅䉍䉁䈜䇯䊥䉴䉪䈏㜞䈇䉅䈱 䉅䈅䉎䈱䈪ᵈᗧ䈏ᔅⷐ䈪䈜䇯
ਃᣇ䉋䈚
ᄁ䉍ᚻ䈫⾈䈇ᚻ䈏䈫䉅䈮ḩ⿷䈚䇮䉁䈢␠ળ⽸₂ 䉅䈪䈐䉎䈱䈏 䉋䈇ᄁ䈪䈅䉎䈫䈇䈉䈖䈫䇯
䂾ડᬺ䈱㐳ᦼ⊛⚻༡䈮ᔅⷐ䈭⠨䈋ᣇ䇯
ડᬺ䈱䊥䉴䉪䉕ᷫ䉌䈚䇮ᜬ⛯น⢻䈭⚻༡䈮ᓎ┙
䈧䇯
䂾㕖✢ᒻ䊅䉾䊒䉱䉾䉪䈪䈲䇮ᄁ䉍ᚻ䈱⋉䈫⾈
䈇ᚻ䈱ḩ⿷ᐲ䇮␠ળ⽸₂䈱ᐲว䈇䉕3䈧䈱⋡
⊛㑐ᢙ䈫䈚䈩ข䉍ᛒ䈉䇯
ડᬺ䈱䊥䉴䉪ᦨዊൻ
25
Kansai University
䊎䉳䊈䉴䉝䊅䊥䊁䉞䉪䉴
䊎䉳䊈䉴䈱䈅䉌䉉䉎႐㕙䈪䉍䈕䈢䊎䉾䉫 䊂䊷䉺䉕⚻༡ᚢ⇛䈮ᵴ↪䈚䇮⚻༡⾗Ḯ䈱ᦨㆡ ൻ䉕ⴕ䈉䈖䈫䈪⚻༡䈱䊥䉴䉪䉕ᷫ䉌䈚䇮ᜬ⛯น
⢻䈭⚻༡䈮ᓎ┙䈧䇯
ડᬺ䈱䊥䉴䉪ᦨዊൻ
ᷓೞ䈭ฦ⒳䈱䉲䊅䊥䉥䉕↪䈇䈩䉴䊃䊧䉴䊁䉴䊃 䉕ⴕ䈇䇮䈠䈱⚿ᨐ䉕⹏ଔ䈚䈩䈠䉏䈡䉏䈱ኻ╷
䉕ᚑ䈜䉎䇯ฦኻ╷䈮䈬䈱䉋䈉䈮⚻༡䉁䈢䈲␠
ળ⾗Ḯ䉕㈩ಽ䈜䉎䈎䈱ᦨㆡൻ䉕ⴕ䈇䇮ડᬺ䉁 䈢䈲␠ળ䈱䊥䉴䉪䉕ᷫ䉌䈚䇮ᜬ⛯น⢻䈭ડᬺ䉁 䈢䈲␠ળ䈱ᒻᚑ䈮ᓎ┙䈩䉎䇯
ડᬺ䈍䉋䈶␠ળ䈱䊥䉴䉪ᦨዊൻ
㕖✢ᒻ䊅䉾䊒䉱䉾䉪㗴䉕↪䈇䈢䊥䉴䉪ᦨዊൻ
27
Kansai University
㕖✢ᒻ䊅䉾䊒䉱䉾䉪㗴䉕↪䈇䈢䊥䉴䉪ᦨዊൻ 䂾⍴ᦼ⊛䈭䊥䉴䉪
䂾ਛᦼ⊛䈭䊥䉴䉪 䂾㐳ᦼ⊛䈭䊥䉴䉪
䈖䉏䉌䉕⠨ᘦ䈚䈩⚻༡⾗Ḯ䈱ᦨㆡ㈩ಽ䉕ቯ 䈜䉎䇯
ડᬺ䈍䉋䈶␠ળ䈱䊥䉴䉪ᦨዊൻ
ᣣᧄ䈱ౝ㔛䉕ቯ䈘䈞࿖ౝ䈱ડᬺ䈱䊥䉴䉪䉕
ᷫ䉌䈜䇯ᶏᄖ䈪䈱㜞䊥䉴䉪䈱ᚢ䈇䋨䊊䉟䊥䉴䉪 䊊䉟䊥䉺䊷䊮䋩䈏ⴕ䈇䉇䈜䈇䉋䈉䈮䈜䉎䇯
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
29
Kansai University
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
ᣣᧄ䈲ౝ㔛ᄢ࿖
㔛ⷐ ଏ⛎ 㔛ⷐ ଏ⛎
‛ଔ䈏
᥊᳇䈏⦟䈒䈭䉎
‛ଔ䈏ਅ⪭
᥊᳇䈏ᖡൻ䈜䉎
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
31
Kansai University
ᜬ⛯น⢻䈭␠ળ䈮䈲
ቯ㓹↪䈏ᄢಾ
⡯⒳䈮㑐ଥ䈭䈒
䈖䈧䈖䈧⌀㕙⋡䈮䈇䈢ੱ䈏 ᥉ㅢ䈮䉌䈞䉎␠ળ
࿖ౝ䈮ቯ䈚䈢㔛ⷐ䈏䈪䈐䉎䇯
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
ർ᰷䈏䈚䈩䈇䉎䈖䈫䈲ᣣᧄ䈱⚳り㓹↪䋿
ో⇇⊛䈮┹䈱ᤨઍ䈮䈦䈩䇮ᣣ ᧄ⚻༡䈱․⦡䈱⚳り㓹↪ᐲ䈫ᐕഞᐨ䈏
⛽ᜬ䈪䈐䈭䈇䇯⚳り㓹↪ᐲ䉕৻䈧䈱ડᬺ
䈪䈲䈭䈒␠ળో䈪ታᣉ䈜䉎䈫䇮ർ᰷䈱␠ળ
ᐲ䈫䈎䈭䉍ૃ䈩䈒䉎䇯
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
33
Kansai University
ੱ䈱↢↥ᕈ䈲
␠ળ䉲䉴䊁䊛䈮䉋䈦䈩ᡰ䈋䉌䉏䈩䈍䉍䇮 ႎ㈽䈲ੱ⊛䈭ᚽ⢻䉇ദജ䈣䈔䈪䈲䈭䈒
ઍ䈮䉅䉒䈢䉎㓸࿅⊛ㆮ↥䈮ᓇ㗀䈘䉏䉎䇯 ᵷ㆜䈪䈅䉐䈉䈏㕖ᱜⷙഭ⠪䈪䈅䉐䈉䈏䇮ኅᣖ 䉕㙃䈉䈱䈮ᔅⷐ䈭⾓㊄䉕ฃ䈔ข䉎ᮭ䈏䈅䉎䇯
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
ᣣᧄ䈱䊥䉴䉪ᦨዊൻ䈱䈢䉄䈮
䈮Ყ䈚䈩ḩ⿷ᐲ䈲䈏䉌䈭䈇
35
Kansai University
ർ᰷⻉࿖䈏⇇䊃䉾䊒䊧䊔䊦䈱䉅䈱
৻ੱᒰ䈢䉍䈱GDP䇮⚻ᷣᚑ㐳₸䈲䋳䋦⒟
ᐲ䈱㜞ᚑ㐳䇮␠ળ䈏లታ䇮ᚲᓧ䈏㜞 䈇䇮ഭᤨ㑆䈏⍴䈇䇮ᚲᓧᩰᏅ䈏ૐ䈇䇮 ᢎ⢒᳓Ḱ䈏㜞䈇䇮ᴦ䊶ⅣႺኻ╷䈏ㅴ䉖 䈪䈇䉎䇮ᐔဋኼ䈏㐳䈇䇮ᐭ䈱⣣ᢌᐲ 䈏ૐ䈇䇮ᐔᜰᢙ䈏㜞䈇
ෳ⠨
ർ᰷䈲⼾䈎䈭䈱䈎䋿
1000ᐕએ೨䈱䊋䉟䉨䊮䉫䈱ᤨઍ
ධ䈮ะ䈎䈦䈩᰷䇮᧲᰷ฦ䈮ଚ䊶ㅴ
䉟䉩䊥䉴ผ䈮䈲䇮䊂䊷䊮ੱ䈱ଚ䉇䊉䊦䊙䊮
₺ᦺ䇮䊐䊤䊮䉴ผ䈮䈲䊉䊦䊙䊮䉳䊷䇮䊨䉲䉝 ᑪ࿖䇯
ෳ⠨
37
Kansai University
ർ᰷䈲⼾䈎䈭䈱䈎䋿 䈢䈫䈋䈳䇮
䉴䉡䉢䊷䊂䊮䇮䊉䊦䉡䉣䊷䇮䊐䉞䊮䊤䊮䊄 ኙ䈇䇮ᄐ䈏⍴䈇䇮ᤤ㑆䈏⍴䈇䇮ᣣᏅ䈚䈏ᒙ 䈇䇮ᐔ㊁䈏䈭䈇䇮䈏䉇䈞䈩䈍䉍䋨᳖ᴡ
ᤨઍ䈱ᓇ㗀䋩䇮ㄘᬺ䈮ะ䈎䈭䈇
ෳ⠨
ർ᰷䈲⼾䈎䈭䈱䈎䋿
䈎䈭䈇ੱ䉕ዋ䈭䈒䈜䉎␠ળ䉲䉴䊁䊛
䇱ੱ䈱ᖱ䈮ᔕ䈛䈢ഭⅣႺ䇮
㊂䉇 ൕോᤨ㑆䉕ᷫ䉌䈚䈢䉍䇮৻ᤨભ⡯
⺕䉅䈏䈐⛯䈔䉎䈖䈫䉕น⢻䈮䈚䈩䈇䉎䇯
ෳ⠨
39
Kansai University
ർ᰷䈲⼾䈎䈭䈱䈎䋿
䉂䉖䈭䈏䈒䈎 䉌䇮৻ੱᒰ䈢䉍䈱ഭ⽶⩄䈲
ᷫ䉎䇯↵ᅚ䈫䉅⢒ఽ䈮චಽ䈭ᤨ㑆䈏ഀ䈔䇮ዋ ሶൻ䉅ㅴ䉂䈮䈒䈇䇯
ᐔဋᚲᓧ䈏㜞䈇䋨ᩰᏅ䈏ዊ䈘䈇䋩
Ꮢ႐ਥ⟵䈫㜞䉕ਔ┙
ෳ⠨
ว
วᚑ䈱⺋⻪䋺䊚䉪䊨䈱ⷞὐ䈪䈲ᱜ䈚䈇䈖 䈫䋨ㇱಽᦨㆡൻ䋩䈪䉅䇮䈠䉏䈏วᚑ䈘䉏 䈢䊙䉪䊨䈱⇇䈪䈲䇮䈎䈭䉌䈝䈚䉅ᗧ࿑
䈚䈭䈇⚿ᨐ䈏↢䈛䉎䇯
ർ᰷䈏⋡ᜰ䈚䈩䈇䉎䈖䈫䈲 ᜬ⛯น⢻䈭␠ળ
ෳ⠨
41
Kansai University
䊑䊷䉺䊮₺࿖䈲ᢎ࿖䈪䌇䌄䌐䇮 13ం䊄䊦䋨158, 2008ᐕ䋩
⇇ᦨ⽺࿖䈱䊑䊷䉺䊮䇮 䈚䈎䈚9ഀએ䈱࿖᳃䈏䇸ᐘ䇹
ෳ⠨
㊄Ⲣ䈱ᓎഀ䋨ෳ⠨䋩
•
㊄Ⲣ䈲ታ⚻ᷣ䈱䈮ᚑ䉍┙䈦䈩䈇 䈭䈔䉏䈳䈭䉌䈭䈇䇯•
↢ሽ䈱䈢䉄ᔅⷐ䈭䉅䈱䈲䇮᳓䉇㘩ᢱ䇯 䉩䊥䉲䊞䈮䇮㊄ਥ⟵䉕ᚓ䉄䈢䊚 䊷䉻䉴₺䈱ኚ43
Kansai University
㊄Ⲣ䈱ᓎഀ䋨ෳ⠨䋩
• 19♿䈫20♿䈱ೋᦼ䈮䈲䇮㌁ⴕኅ䈫䊑䊨䊷䉦 䊷䈲䇮ᤨ䇱ಽ䈔䈏䈧䈎䈭䈎䈦䈢䇯
• 1929ᐕ㊄Ⲣᄢᕟᘓ⋭ὐ䇮৻ㇱ䈱㌁ⴕᬺോᯏ 㑐䈱⸽ᵴേ䈮䈍䈔䉎ኂኻ┙䈫⹊᱂䈏䉌 䈎䈮䈭䈦䈢䇯
• ㊄Ⲣᄢᕟᘓ䉕ᄾᯏ䈮䇮䉝䊜䊥䉦䈪䈲1933ᐕ䈮ᚑ
┙䈚䈢䉫䊤䉴䊶䉴䊁䉞䊷䉧䊦ᴺ䈮䉋䉍ᬺ㌁ⴕᬺ
ോ䈫ᛩ⾗㌁ⴕᬺോ䈏⏕䈮ಽ㔌䈘䉏䈩䈇䈢䇯
䉣䊈䊦䉩䊷䈱ᦨㆡൻ䋨ෳ⠨䋩
ේሶജ䈲ో䉣䊈䊦䉩䊷䈱䋷䋮䋲䋦
45
Kansai University
䊊䉳䊠䊮䊶䉼䊞䊮䇮⇇⚻ᷣ䉕⎕✋䈘䈞䉎23䈱ཐ䇯
ᴡญ ⌀ℂሶ䇮䇸⊖ᐕ䈮৻ᐲ䈱ෂᯏ䇹䈫 ᜬ⛯น⢻ᕈ䈮㑐䈜䉎 ৻⠨
ኤ䇹. ⚻༡ᚢ⇛⎇ⓥ2009ᐕᤐቄภVOL.21䇯 http://blog.setojp.com/archives/65490976.html䇯 http://okwave.jp/qa/q2529748.html䇯
http://detail.chiebukuro.yahoo.co.jp/qa/
question_detail/q1017825085䇯 http://www.dir.co.jp/publicity/column/060629.html 䇯
ෳ⠨⾗ᢱ
47
