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Recommend mathematical optimization
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Saito Tsutomu
September 25, 2018
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Recommend mathematical optimization
Saito Tsutomu
September 25, 2018
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Transcript
ղܾͷקΊ ʢגʣϏʔϓϥυ ࡈ౻
#F1SPVEͷαʔϏε w DPOOQBTT ΤϯδχΞΛͭͳ͙*5ษڧձࢧԉ ϓϥοτϑΥʔϜ w 1Z2 ຊؾͰϓϩάϥϛϯάΛֶͼ͍ͨਓͷ 1ZUIPOΦϯϥΠϯֶशαʔϏε w
53"$&3: w γεςϜ։ൃνʔϜ͚ࣝڞ༗αʔϏε
͓લ୭Αʢʣ w 1Z2ʢֶशαʔϏεʣͷ࡞͍ͯ͠·͢ w ֶͱΞϧΰϦζϜ w 1ZUIPOσʔλॲཧதڃ w /VN1Zσʔλॲཧ w
1ZUIPO౷ܭੳ w 1ZUIPOػցֶशதڃ w ཧతΞϓϩʔνʹΑΔղܾ
͓લ୭Αʢʣ w ཧ࠷దԽɺΦϖϨʔγϣϯζɾϦαʔνͷઐՈ ʢˣग़൛ॻ੶ʣ w ࠓ͔Β͑Δ߹ͤ࠷దԽ w 1ZUIPOݴޠʹΑΔϏδωεΞφϦςΟΫε ࣮ՈͷͨΊͷ࠷దԽɾ౷ܭղੳɾػցֶश w
ϞσϦϯάͷॾ૬ γϦʔζ࠷దԽϞσϦϯά w ϚωʔδϯάɾβɾαϓϥΠɾνΣΠϯ w σʔλੳϥΠϒϥϦʔΛ༻͍ͨ࠷దԽϞσϧͷ࡞Γํ ʢࠓग़൛༧ఆʣ
ղܾͱ w Λղܾ͢Δ͜ͱ w ͱ w ݱঢ়ͱඪͷҧ͍ ඪ ݱ࣮
ղܾͷྲྀΕ w ͷೝ w ղܾํ๏ͷ୳ٻ w ղܾࡦͷ࣮ߦ w ݁Ռͷۛຯ ˡࢼݧͷΑ͏ʹΘ͔Γ͘͢ͳ͍
ˡͲ͜·ͰͬͨΒ͍͍ͷ͔ ˡޮՌ͕͋Δ͔ ˡղܾํ๏௨Γ͡Όͳ͍
࠷దԽͷྫ w ిंͰతʹ͔͏ͱ͖ʹɺͲ͜ͰΓ͑Δͱɺ ࠷ૣ͘ߦ͚Δ͔Γ͍ͨʢ࠷࿏ʣ w ෦Λݿ͔Βʹ҆͘ӡͼ͍ͨʢ༌ૹඅ༻࠷খԽʣ w αʔϏε࣭Λकͬͯɺਓһஔ͍ͨ͠ʢεέδϡʔϦϯάʣ
ཧతΞϓϩʔνʹΑΔ ղܾͱ wΛࣜΛͬͯϞσϧͱ͠ɺ ͦͷϞσϧΛͬͯ࠷దղΛ୳͢͜ͱ
ཧϞσϧͱ w มͱతؔͱ੍݅ΛܾΊͨͷ w มɿҙࢥܾఆͷର w తؔɿධՁͷର w ੍݅ɿकΔ͖͜ͱ มΛ࣠ͱ͢Δղ্ۭؒͰɺ੍݅ͱ͍͏นͰғ·ΕͨதΛ
ରͱͯ͠ɺతؔͷํΛ࠷దͱ͢ΔϞσϧ
1Z2Ͱղֶܾ͕·͢ wཧͱղܾ w֬ͷ wάϥϑཧॳڃ wάϥϑཧதڃ wάϥϑΛͬͨ࠷దԽ wઢܗ࠷దԽॳڃ wσʔλੳͱ࠷దԽ w߹ͤ࠷దԽॳڃ w߹ͤ࠷దԽͰղ͘
ύζϧ શ෦Ͱ ࠓޙ૿͍͑ͯ͘༧ఆ
ղܾίʔεͰѻ͏ ϥΠϒϥϦʔ w /FUXPSL9ɿάϥϑɾωοτϫʔΫͷੳɾ࠷దԽ w 1V-1ɿઢܗ࠷దԽͱࠞ߹࠷దԽ͕ղ͚Δ w QBOEBTɿ࠷దԽͷϞσϧ͕࡞ΕΔ ͳͲͳͲ