秘密鍵系列一致プロトコル並列型Cascadeの最適化
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(2) 㻌. ᑠ ⏣ ᡞ Ẏ 㻖䠈㻌 ᒣ 㷂ᾈ ୍ 㻖 㻌 㻌 ⋢ᕝᏛᕤᏛ㒊ࢯࣇࢺ࢙࢘ࢧ࢚ࣥࢫᏛ⛉㸪 ᮾி㒔⏫⏣ᕷ⋢ᕝᏛᅬ !
(3)
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(5) $ # #" # % &" '(( ## ) (*+,'(-. ./ 01 /
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(8)
(9) /
(10) 2. 5 " " 6 / . 㻌 ࡣࡌࡵ. ࡾ⋡ࡢ㔞Ꮚ㏻ಙ㊰ࢆ⏝࠸࡚㘽⣔ิࡢඹ᭷ࢆ⾜࠺. ㏆ᖺ㸪ᬯྕᢏ⾡ࡀⴭࡋ࠸Ⓨᒎࢆ㐙ࡆ࡚࠸ࡿ㸬≉
(11). ሙྜ㸪ᑐヰᆺ⛎ᐦ㘽⣔ิ୍⮴ࣉࣟࢺࢥࣝࡀ᭷⏝࡛. 㸪㔞Ꮚᬯྕ㘽㓄㏦ %%
(12) ࣉࣟࢺࢥࣝ ࡣ㸪ᵝࠎ. ࠶ࡿ㸬. ࡞ᶵ㛵࡛ᐇ⏝ᐇ㦂ࡀ⾜ࢃࢀ࡚࠸ࡿ㸬%%ࣉࣟࢺࢥ. ᑐヰᆺ⛎ᐦ㘽⣔ิ୍⮴ࣉࣟࢺࢥࣝࡋ࡚㸪. ࡛ࣝࡣ㸪ᬯྕ㏻ಙ⏝࠸ࡿ⣔ิ ᬯྕ㘽
(13) ࢆ➨୕⪅. %%%66ࣉࣟࢺࢥࣝ
(14) ࡸ&DVFDGHࣉࣟࢺࢥࣝ
(15) ࡀ▱ࡽ. ▱ࡽࢀࡿࡇ࡞ࡃ㸪ṇつࡢ㏦ཷಙ⪅㛫࡛ඹ᭷ࡍ. ࢀ࡚࠸ࡿ㸬%%%66ࣉࣟࢺࢥࣝࡣ㸪᭱ึ⾜ࢃࢀࡓ㔞. ࡿࡇࡀྍ⬟࡛࠶ࡿ㸬ࡋࡋ㸪⌧ᐇⓗ࡞ࢩࢫࢸ࣒. Ꮚᬯྕ㘽㓄㏦ࡢᐇ㦂࡛⏝࠸ࡽࢀࡓࣉࣟࢺࢥ࡛ࣝ. ࡛ࡣ㸪㔞Ꮚ㏻ಙ㊰ࡢᛶࡸ㞧㡢࡞ࡼࡾ㸪. ࠶ࡿ㸬ࡇࡢࣉࣟࢺࢥࣝࡢㄗࡾゞṇ⬟ຊࢆᨵၿࡍ. ㏦ཷಙ⪅ࡀඹ᭷ࡋࡓᩘ⣔ิࡢ㛫୍⮴ࡀ⏕. ࡃ&DVFDGHࣉࣟࢺࢥࣝࡣᥦࡉࢀࡓ㸬&DVFDGHࣉࣟ. ࡌࡿ㸬. ࢺࢥࣝࡣ㸪ࢩࣕࣀࣥ㝈⏺㠀ᖖ㏆࠸ELWᩘࢆබ. ⛎ᐦ㘽⣔ิ୍⮴ࣉࣟࢺࢥࣝࡣ㸪୍⮴ࢆ᭷ࡍࡿ. 㛤ࡍࡿࡇ࡛㸪⣔ิࡢ୍⮴ฎ⌮ࢆ⾜࠺ࡇࡀྍ⬟. ㏦ཷಙ⪅ࡢᩘ⣔ิࢆ୍⮴ࡉࡏࡿࡓࡵࡢࣉࣟࢺ. ࡛࠶ࡿ㸬୍᪉㸪㘽⣔ิࡢඹ᭷ࢆ⾜࠺ఏ㏦㊰ࡢㄗࡾ. ࢥ࡛ࣝ࠶ࡿ㸬⛎ᐦ㘽⣔ิ୍⮴ࣉࣟࢺࢥࣝࡣ㸪ᑐヰ. ⋡ࡢቑຍక࠸୍⮴ฎ⌮ᚲせ࡞㏻ಙᅇᩘࡀቑ. ᆺࣉࣟࢺࢥࣝ㠀ᑐヰᆺࣉࣟࢺࢥࣝศ㢮ࡉࢀ. ࠼࡚ࡋࡲ࠺ၥ㢟ࢆ᭷ࡍࡿ
(16) 㸬ࡑࡇ࡛㸪㏻ಙᅇᩘࡢ. ࡿ㸬ᑐヰᆺࣉࣟࢺࢥࣝࡣ㠀ᑐヰᆺࣉࣟࢺࢥࣝẚ. ๐ῶࢆ┠ⓗ୪ิᆺ&DVFDGH
(17) ࡀᥦࡉࢀࡓ㸬୪ิ. ㍑ࡋ࡚㸪ᗈ࠸⠊ᅖࡢㄗࡾ⋡࠾࠸࡚⣔ิࢆ୍⮴ࡉ. ᆺ&DVFDGHࡣ㸪㏻ಙᅇᩘࢆᖜ๐ῶࡍࡿࡇࡀ.
(18). ࡏࡿࡇࡀྍ⬟࡛࠶ࡿ 㸬ࡋࡓࡀࡗ࡚㸪ᖜᗈ࠸ㄗ. ྍ⬟ࡔࡀ㸪බ㛤ࡍࡿELWᩘࡀࢃࡎቑຍࡋ࡚ࡋ. ⋢ᕝᏛᕤᏛ㒊⣖せ ➨ 53 ྕ㸦2018 1 Memoirs of The Collegeᖺ㸧 of Engineering, Tamagawa University, No.53 (2018). 1.
(19) Memoirs of The College of Engineering, Tamagawa University, No.53 (2018). ࡲ࠺㸬. ࢆ⏝࠸࡚$OLFH%RE㛫࡛ẚ㍑ࢆ⾜࠺. ᮏ◊✲࡛ࡣ㸪ィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥࡼࡾ୪. ࣃࣜࢸࡢ␗࡞ࡿࣈࣟࢵࢡ࡚ᑐࡋ࡚㸪. ิᆺ&DVFDGHࡢ≉ᛶࢆ᫂ࡽࡋ㸪ࡑࡢ≉ᛶᇶ. %,1$5<ࢆ⏝࠸ࡿࡇ࡛㸪ࣈࣟࢵࢡẖࡘࡢㄗ. ࡙ࡁබ㛤ࡍࡿELWᩘࢆ๐ῶࡍࡿࡇࢆ┠ⓗࡋࡓ. ࡾࢆゞṇࡍࡿ㸬. ࣉࣟࢺࢥࣝࡢ᭱㐺ᡭἲࢆᥦࡍࡿ㸬. SDVV࡛⏝ࡋࡓ⣔ิࡣSDVV௨㝆࡛ࡶ⏝ࡍࡿ. . ࡓࡵ㸪⣔ิࢆಖᣢࡍࡿ㸬. 㸬ᚑ᮶ᆺ&DVFDGHࣉࣟࢺࢥࣝ
(20) . SDVVሺ ሻ . ᚑ ᮶ ᆺ &DVFDGH ࣉ ࣟ ࢺ ࢥ ࣝ ࡣ 㸪 %UDVVDUG. $OLFH%REࡣ㸪SDVV࡛݅⏝࠸ࡿࣈࣟࢵࢡࢧ ࢬ݇ ࢆᐃࡵࡿ㸬. 6DOYDLOࡽࡼࡗ࡚ᥦࡉࢀࡓᑐヰᆺ⛎ᐦ㘽⣔ิ ୍⮴ࣉࣟࢺࢥ࡛ࣝ࠶ࡿ㸬SDVVࡤࢀࡿ」ᩘࡢࢫ. ࣛࣥࢲ࣒㛵ᩘ݂ ǣ ሾͳǡ ǥ ǡ ݊ሿ ՜ ሾͳǡ ǥ ǡ ݊ڿȀ݇ ۀሿࢆ㑅. ࢸࢵࣉ࡛ᵓᡂࡉࢀ࡚࠾ࡾ㸪ࢩࣕࣀࣥ㝈⏺㏆࠸. ᢥࡋ㸪⣔ิࡢ୪ࡧࢆࢫࢡࣛࣥࣈࣝࡋ㸪ᣦᐃࡋ. ELWᩘ୍࡛⮴ࡢゎᾘࡀྍ⬟࡛࠶ࡿ㸬௨ୗ㸪ᚑ᮶. ࡓࢧࢬࡢࣈࣟࢵࢡศࡍࡿ㸬SDVV݅࠾࠸. ᆺ&DVFDGHࡢࣝࢦࣜࢬ࣒ࢆ♧ࡍ㸬. ࡚㸪݆␒┠ࡢࣈࣟࢵࢡ݈␒┠ࡢELWࡀྵࡲࢀࡿ. ṇつࡢ㏦ಙ⪅$OLFH㸪ཷಙ⪅%REࡀ㔞Ꮚ㏻ಙ㊰ࢆ. ሙྜ㸪ܭ ൌ ሼ݈ȁ݂ ሺ݈ሻ ൌ ݆ሽ⾲グࡍࡿ㸬. ⏝࠸࡚ඹ᭷ࡋࡓࡑࢀࡒࢀࡢ㘽⣔ิࢆܣൌ. ࣈࣟࢵࢡẖࣃࣜࢸࢆồࡵ㸪බ⾗㏻ಙ㊰ࢆ. ሺܽଵ ǡ ǥǡ ܽ ሻǡ ܤൌ ሺܾଵ ǡ ǥǡ ܾ ሻࡍࡿ㸬ඹ᭷ࡍࡿ㘽⣔ ิࡣඖᩘ⣔ิሺሼͲǡͳሽ ሻ࡛࠶ࡿ㸬. ⏝࠸࡚$OLFH%RE㛫࡛ẚ㍑ࢆ⾜࠺㸬 ࣃࣜࢸࡢ␗࡞ࡿࣈࣟࢵࢡࡢ࠺ࡕ㸪᭱ࡶࣈࣟ. %%%66ࣉࣟࢺࢥࣝࡸ&DVFDGHࣉࣟࢺࢥ࡛ࣝࡣ㸪ゞ. ࢵࢡࢧࢬࡀᑠࡉ࠸ࣈࣟࢵࢡࡘᑐࡋ࡚㸪. ṇฎ⌮%,1$5<ࢆ⏝࠸ࡿ㸬ࡲࡎ㸪%,1$5<ࡢࣝࢦ. %,1$5<ࢆࡍࡇ࡛ࡘࡢㄗࡾࢆゞṇࡍࡿ㸬. ࣜࢬ࣒ࡘ࠸࡚ㄝ᫂ࡍࡿ㸬$OLFH%REࡀ%,1$5<ࢆ. ࡢฎ⌮ࢆ㸪ࣥ ᇱ ൌ ߶ࢆ‶ࡓࡍࡲ࡛ᖐⓗ⾜࠺㸬. ࡍ⣔ิࡣ㸪ወᩘಶࡢㄗࡾࡀᏑᅾࡍࡿࡶࡢ௬. ࡓࡔࡋ㸪 . ᐃࡍࡿ㸬 $OLFH%REࡣ㸪%,1$5<ࢆࡍᑐ㇟ࡢ⣔ิࢆ༙ ศศࡋ㸪⣔ิࡢ๓༙࣭ᚋ༙㒊ศࡢࣃࣜࢸ ࢆᑟฟࡍࡿ㸬 ࣃࣜࢸࡢẚ㍑ࢆ⾜࠺㸬ࣃࣜࢸࡢ␗࡞ࡿ⣔ ิࢆ༙ศศࡋ㸪ྠᵝࣃࣜࢸࢆᑟฟࡍ ࡿ㸬 ࡇࡢฎ⌮ࢆㄗࡾࡀ≉ᐃ࡛ࡁࡿࡲ࡛ᖐⓗ⾜࠺㸬 ୍ᅇࡢ%,1$5<࡛㸯ࡘࡢㄗࡾࢆゞṇࡍࡿࡇࡀ࡛ ࡁࡿ㸬⥆࠸࡚㸪&DVFDGHࡢࣝࢦࣜࢬ࣒ࢆ♧ࡍ㸬 SDVV $OLFH%REࡣࣈࣟࢵࢡࢧࢬ݇ଵ ࢆᐃࡵ㸪㘽⣔ ิࢆ݇ଵ ELWࡢࣈࣟࢵࢡศࡍࡿ㸬SDVV࠾ ࠸࡚㸪݈␒┠ࡢELWࡀࢀࡲྵࢡࢵࣟࣈࡢ┠␒ݒ ࡿሙྜ㸪ܭ௩ଵ ൌ ሼ݈ȁሺ ݒെ ͳሻ݇ଵ ݈ ൏ ݇ݒଵ ሽ⾲グࡍ ࡿ㸬 ࣈࣟࢵࢡẖࣃࣜࢸࢆ⟬ฟࡋ㸪බ⾗㏻ಙ㊰. ࣥ ᇱ ൌ ࣜࣥ.
(21) . ࡛࠶ࡿ㸬ᘧ
(22) ࡣ㸪ᕪ㞟ྜࣜ ࣥൌ ሺࣜ ࣥ ሻ ךሺࣜ ת ࣥሻ࡛࠶ࡿ㸬ࡲࡓ㸪ࣥࡣ␗࡞ࡿࣈࣟࢵࢡࣃࣜࢸࢆ ᣢࡘࣈࣟࢵࢡయ㸪ࣜࡣ%,1$5<ࡀࡉࢀࡓࣈࣟࢵ ࢡࡢ㞟ྜ࡛࠶ࡿ㸬 㸬୪ิᆺ&DVFDGHࣉࣟࢺࢥࣝ
(23) ୪ิᆺ&DVFDGHࡣ㸪ᚑ᮶ᆺ&DVFDGHࡢ㏻ಙᅇᩘࢆ ๐ῶࡍࡿࡓࡵᥦࡉࢀࡓᑐヰᆺ⛎ᐦ㘽⣔ิ୍ ⮴ࣉࣟࢺࢥ࡛ࣝ࠶ࡿ㸬 SDVV ᚑ᮶ᆺ&DVFDGHࡢฎ⌮ྠᵝ⾜࠺㸬 SDVVሺ ሻ $OLFH%REࡣ㸪SDVV࡛݅⏝࠸ࡿࣈࣟࢵࢡࢧࢬ ݇ ࢆᐃࡵࡿ㸬 ࣛࣥࢲ࣒㛵ᩘ݂ ǣ ሾͳǡ ǥ ǡ ݊ሿ ՜ ሾͳǡ ǥ ǡ ݊ڿȀ݇ ۀሿࢆ㑅 ᢥࡋ㸪⣔ิࡢ୪ࡧࢆࢫࢡࣛࣥࣈࣝࡋ㸪ᣦᐃࡋ. ⋢ᕝᏛᕤᏛ㒊⣖せ ➨ 53 ྕ㸦2018 ᖺ㸧 ⋢ᕝᏛᕤᏛ㒊⣖せࠉ➨53ྕ 㸦2018㸧 2. 2.
(24) Memoirs of The College of Engineering, Tamagawa University, No.53 (2018). ࡓࢧࢬࡢࣈࣟࢵࢡศࡍࡿ㸬 ࣈࣟࢵࢡẖࣃࣜࢸࢆᑟฟࡋ㸪බ⾗㏻ಙ㊰ ࢆ⏝࠸࡚$OLFH%RE㛫࡛ẚ㍑ࢆ⾜࠺㸬 ࣃࣜࢸࡢ␗࡞ࡿࣈࣟࢵࢡࡢ࠺ࡕ㸪᭱ࡶࣈࣟ ࢵࢡࢧࢬࡀᑠࡉ࠸ࣈࣟࢵࢡ͆ࡍ࡚͇ᑐ ࡋ࡚%,1$5<ࢆࡍࡇ࡛㸪ࡑࢀࡒࢀࡢࣈࣟࢵ ࢡ࠾࠸୍࡚ࡘࡢㄗࡾࢆゞṇࡍࡿ㸬 ࣉࣟࢺࢥࣝࡢ⤊᮲௳ࡣ㸪ᚑ᮶ᆺ&DVFDGHྠᵝ. . ᅗ(IILFLHQF\ ᚑ᮶ᆺ㸪୪ิᆺ
(25) . ࡍࡿ㸬 㸬ホ౯ᇶ‽ ᑐヰᆺ⛎ᐦ㘽⣔ิ୍⮴ࣉࣟࢺࢥࣝࡢᛶ⬟ホ౯ ࡣ㸪බ㛤ࣅࢵࢺᩘ㏻ಙᅇᩘࢆ⏝࠸ࡿ㸬බ㛤ࣅ ࢵࢺᩘࡢホ౯ࡣ௨ୗࡢᘧ࡛࠼ࡽࢀࡿ (IILFLHQF\ࢆ⏝࠸ࡿ㸬. ݉
(26) ݊ܪሺܣȁܤሻ ࡇࡇ࡛㸪݉ࡣゞṇฎ⌮࠾࠸࡚බ㛤ࡉࢀࡓࣅࢵࢺ ݂େ ൌ. . ᩘ㸪݊ࡣඹ᭷ࡍࡿ㘽⣔ิࡢ㛗ࡉ࡛࠶ࡿ㸬ㄗࡾ⋡ɂࡢ ඖᑐ⛠㏻ಙ㊰ࢆ⏝࠸ࡿ௬ᐃࡍࡿ௨ୗࡢࡼ࠺ ⾲⌧ࡍࡿࡇࡀ࡛ࡁࡿ㸬 ͳെܴ ݂େ ൌ
(27) ݄ሺߝሻ ࡇࡇ࡛㸪݄ሺߝሻࡣ್࢚ࣥࢺࣟࣆ࣮㸪ܴ ൌ ͳ െ ݉Ȁ࡛݊ ࠶ࡿ㸬㏻ಙᅇᩘࡘ࠸࡚ࡣ㸪$OLFH%RE㛫ࡢ୍ . ᅗ㏻ಙᅇᩘ ᚑ᮶ᆺ㸪୪ิᆺ
(28) ͵
(29) ͳ െ ሺͳ െ ݁ ିଶாభ ሻଶ Ͷ ߜଵ ሺ݆ሻࡣSDVV⤊ᚋ㸪࠶ࡿࣈࣟࢵࢡࡀ݆ಶࡢㄗ ࡾࢆྵࡴ☜⋡࡛࠶ࡾ㸪ܧଵ ࡣSDVV⤊࠶ࡿࣈ ࣟࢵࢡྵࡲࢀࡿㄗࡾࡢಶᩘࡢᮇᚅ್࡛࠶ࡾ㸪ḟ ᘧ࡛࠼ࡽࢀࡿ㸬. ࡛ホ౯ࢆ⾜࠺㸬. ሺͳ െ ሺͳ െ ʹߝሻభ ሻ
(30) ʹ ࡓࡔࡋ㸪ߝࡣ㔞Ꮚ㏻ಙ㊰ࡢㄗࡾ⋡࡛࠶ࡿ㸬SDVV݅ሺ. . ͳሻࡢࣈࣟࢵࢡࢧࢬ݇ ࡣ㸪݇ ൌ ʹ݇ିଵ ࡍࡿ㸬. 㸬ィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥ. ᅗ(IILFLHQF\ࢆ♧ࡍ㸬ᚑ᮶ᆺ&DVFDGHẚ㍑. (IILFLHQF\URXQG FRPPXQLFDWLRQࡘ࠸࡚㸪. ࡋ࡚୪ิᆺ&DVFDGHࡢබ㛤ࣅࢵࢺᩘࡣ⛬ᗘቑຍ. ᚑ᮶ᆺ&DVFDGH୪ิᆺ&DVFDGHࡢィ⟬ᶵࢩ࣑ࣗ. ࡋ࡚࠾ࡾ㸪(IILFLHQF\ࡀຎࡋ࡚࠸ࡿࡇࡀ☜ㄆ. ࣮ࣞࢩࣙࣥࢆ⾜࡞ࡗࡓ㸬ㄗࡾ⋡ࢆࡽ. ࡛ࡁࡿ㸬. ࡲ ࡛ ࡎ ࡘ ኚ ື ࡉ ࡏ 㸪 ྛ ㄗ ࡾ ⋡ ᑐ ࡋ ࡚. ᅗ㏻ಙᅇᩘࢆ♧ࡍ㸬ᚑ᮶ᆺ&DVFDGHẚ㍑ࡋ. ᅇࡢィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࡞ࡗࡓ㸬. ࡚ 㸪 ୪ ิ ᆺ &DVFDGH ࡛ ࡣ ᖜ URXQG. ࣈࣟࢵࢡࢧࢬࡣ௨ୗࡢᘧࢆ‶ࡓࡍ᭱ࡢᩚᩘ. FRPPXQLFDWLRQࡀ๐ῶࡉࢀ࡚࠸ࡿࡇࡀ☜ㄆ࡛ࡁ. ࢆ⏝࠸ࡿ
(31) 㸬. ࡿ㸬ᚑ᮶ᆺ&DVFDGHࡀ㸪ㄗࡾ⋡ࡢቑຍక࠸URXQG. ࡢ㏻ಙࢆURXQG FRPPXQLFDWLRQࡋ࡚ࡑࡢᅇᩘ. ہభ Ȁଶۂ. . ͳ ߜଵ ሺ݈ሻ ߜଵ ሺ݆ሻ Ͷ. ୀାଵ. .
(32) . . ܧଵ ൌ ݇ଵ ߝ െ. FRPPXQLFDWLRQࡀቑ࠼࡚࠸ࡿࡢᑐࡋ࡚㸪୪ิᆺ &DVFDGH࡛ࡣㄗࡾ⋡ࡼࡽࡎࡰ୍ᐃ࡛࠶ࡿࡇ ࡀศࡿ㸬. ⋢ᕝᏛᕤᏛ㒊⣖せ ➨ 53 ྕ㸦2018 3 Memoirs of The Collegeᖺ㸧 of Engineering, Tamagawa University, No.53 (2018). 3.
(33) Memoirs of The College of Engineering, Tamagawa University, No.53 (2018). Ⅼ࡛ࢇ࡚ࡢㄗࡾࡀゞṇࡉࢀࡿࡇࡀ. ߝ . ☜ㄆ࡛ࡁࡿ㸬ḟ㸪୪ิᆺ&DVFDGH࠾࠸࡚㸪ㄗࡾ. . ࡲࡓ㸪ྛSDVV⤊ࡢㄗࡾ⋡ࡢ᥎⛣ࡘ࠸࡚ࡢ ᳨ウࢆ௨ୗ࡛⾜࠺㸬ࡲࡎ㸪୪ิᆺ&DVFDGHࡢྛSDVV ⤊ᚋࡢㄗࡾ⋡ࢆ⾲♧ࡍ㸬⾲ࡼࡾ㸪SDVV⤊. SDVV . SDVV . SDVV . SDVV . ⾲ྛ⣔ิ࡛ゞṇࡉࢀࡿㄗࡾࡢྜ. ࡀࡢ⣔ิ࡛ゞṇࡉࢀࡿ㛵ࡍࡿྜࢆ⾲. . ߝ . 㸬୪ิᆺ&DVFDGHࡢ᭱㐺. . ィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ⤖ᯝࡼࡾ㸪୪ิᆺ. ゞṇฎ⌮ࢆSDVVࡲ࡛࡛⤊ࡋ㸪ㄗࡾࡀṧࡗ. &DVFDGHࡢ(IILFLHQF\ࡣᚑ᮶ᆺ&DVFDGHẚ㍑ࡋ. ࡚࠸ࡿࡢ᳨ドࡣ%,&21)ࢆ⏝࠸ࡿ㸬%,&21)ࡢ. ࡚ຎࡋ࡚࠸ࡿࡇࡀ᫂ࡽ࡞ࡗࡓ㸬ࡑࡇ࡛㸪. ฎ⌮ᡭ㡰ࢆ௨ୗ♧ࡍ㸬. ᮏ⠇࡛ࡣ୪ิᆺ&DVFDGHࡢ(IILFLHQF\ࡢྥୖࢆ┠. SDVV⤊ᚋࣛࣥࢲ࣒㛵ᩘࢆ⏝࠸࡚⣔ิࡢ. ♧ࡍ㸬⾲ࡼࡾ㸪SDVVࡢ⣔ิ࡛ᙅࡢㄗࡾࡀゞṇ ࡉࢀ㸪SDVVࡢ⣔ิ࡛ṧࡾࡢ⣙ࡀゞṇࡉࢀ࡚࠸ ࡿࡇࡀ☜ㄆ࡛ࡁࡿ㸬. ⓗࡋࡓࣈࣟࢵࢡࢧࢬࡢ᭱㐺ἲࢆ♧ࡍ㸬 ⾲ࡽᚓࡽࢀࡓィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥ ࡽ௨ୗࡢࡘࡢᛶ㉁ࢆ௬ᐃࡍࡿ㸬 SDVV⤊ࢇ࡚ࡢㄗࡾࡀゞṇࡉ ࢀࡿ㸬 SDVV⣔ิ࡛ㄗࡾయࡢܴࡀゞṇࡉࢀ㸪ṧࡾࡢ ㄗࡾࡀSDVV⣔ิ࡛ゞṇࡉࢀࡿ㸬 ࡇࡇ࡛㸪ܴࢆ௵ពࡢྜࡍࡿ㸬 ௨ୖࡢࡘࡢᛶ㉁ࢆ௬ᐃࡍࡿ㸪ゞṇฎ⌮࡛බ 㛤ࡉࢀࡿࣅࢵࢺᩘࡢᮇᚅ್ࡣ ݊ ୮୲Ǥ ݊ୠ୧୲ ൌ ܴ݊ߝ ଶ ݇ଵ ݇ଵ
(34) ݊ ሺͳ െ ܴሻ݊ߝ ଶ ݇ଶ ݇ଶ ࡛࠼ࡽࢀࡿ㸬ࡇࡇ࡛㸪݊ࡣඹ᭷ࡍࡿ㘽⣔ิࡢ㛗ࡉ. SDVV . SDVV . SDVV . SDVV . ୪ࡧࢆࢫࢡࣛࣥࣈࣝࡍࡿ㸬 㡯ศᕸ݊݅ܤሺ݊ǡ ͳȀʹሻᇶ࡙ࡁ㸪⣔ิࢆࡘ ࡢࣈࣟࢵࢡศࡍࡿ㸬 ࡕࡽ୍᪉ࡢࣈࣟࢵࢡࡢࣃࣜࢸࢆồࡵ㸪 $OLFH%REࡣබ⾗㏻ಙ㊰ࢆ⏝࠸࡚ࣃࣜࢸ ࡢẚ㍑ࢆ⾜࠺㸬 ࣃࣜࢸࡀ␗࡞ࡿሙྜࡣ㸪᪉ࡢࣈࣟࢵࢡ %,1$5<ࢆࡋ㸪ࡑࢀࡒࢀࡘࡢㄗࡾࢆゞṇ ࡍࡿ㸬 ୖ㏙ࡋࡓฎ⌮ࢆᅇ㐃⥆࡛ㄗࡾࡀ᳨ฟࡉࢀ࡞ࡃ ࡞ࡿࡲ࡛ᖐⓗ⾜࠺㸬 ᭱㐺ࢆࡋࡓࣈࣟࢵࢡࢧࢬࢆ⏝ࡋࡓሙ ྜࡢ୪ิᆺ&DVFDGHᑐࡋ࡚㸪ㄗࡾ⋡ࢆ ࡽࡲ࡛ࡎࡘኚືࡉࡏ㸪ྛㄗࡾ⋡ᑐࡋ. ࡛࠶ࡿ㸬ᘧ
(35) ࡽゎᯒⓗ࡞ᡭἲࡼࡾ㸪බ㛤ࣅࢵ. ࡚ᅇࡢィ⟬ᶵࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࡞ࡗ. ࢺᩘࢆ᭱ᑠࡍࡿࡼ࠺࡞ࣈࣟࢵࢡࢧࢬࡣḟᘧ. ࡓ㸬(IILFLHQF\ࡢሙྜࡣࡽࡲ࡛ࢆ⾲. ࡛࠼ࡽࢀࡿ㸬. ♧⠊ᅖࡍࡿ㸬ࡑࡢ⤖ᯝࢆࡶ㸪(IILFLHQF\. ʹ ʹ ඐ ǡ ݇ଶ ൌ ඌ ඐ
(36) ݇ଵ ൌ ඌ ܴߝ ሺͳ െ ܴሻߝ ௨ୖ࡛ᚓࡽࢀࡓ⤖ᯝᑐࡋ࡚㸪ィ⟬ᶵࢩ࣑ࣗࣞ ࣮ࢩࣙࣥࡢ⤖ᯝᇶ࡙ࡁ㸪ྜܴࢆࡘࡢሙྜ࡛௬ ᐃࡋ࡚ࣈࣟࢵࢡࢧࢬࡢ᭱㐺ࢆ⾜࠺㸬2SW࡛ ࡣܴ ൌ ʹȀ͵2SW࡛ࡣܴ ൌ ȀͳͲࡍࡿ㸬 ⾲ྛSDVV⤊ᚋࡢㄗࡾ⋡. URXQGFRPPXQLFDWLRQࡘ࠸࡚⪃ᐹࡍࡿ㸬 ᅗ(IILFLHQF\ࢆ♧ࡍ㸬ᘧ
(37)
(38) ࡛࠼ࡽࢀ ࡿࣈࣟࢵࢡࢧࢬࢆ⏝࠸ࡓ୪ิᆺ&DVFDGHẚ㍑ ࡋ࡚㸪2SW 2SWࡶ⣙⛬ᗘ(IILFLHQF\ ࡀྥୖࡋ࡚࠸ࡿࡇࡀ☜ㄆ࡛ࡁࡿ㸬ࡲࡓ㸪ᚑ᮶ᆺ &DVFDGH ࡢ (IILFLHQF\ ẚ ㍑ ࡋ ࡚ ࡶ ࡼ ࡾ. ⋢ᕝᏛᕤᏛ㒊⣖せ ➨ 53 ྕ㸦2018 ᖺ㸧 ⋢ᕝᏛᕤᏛ㒊⣖せࠉ➨53ྕ 㸦2018㸧 4. 4.
(39) Memoirs of The College of Engineering, Tamagawa University, No.53 (2018). (IILFLHQF\ࡀඃࢀ࡚࠸ࡿࡇࡀ☜ㄆ࡛ࡁࡿ㸬 ᅗURXQGFRPPXQLFDWLRQࢆ♧ࡍ㸬᭱㐺ࢆ ࡋࡓሙྜ࡛ࡶ㸪ᚑ᮶ᆺ&DVFDGHẚ㍑ࡋ࡚ᖜ ᑡ࡞࠸㏻ಙᅇᩘ࡛ゞṇฎ⌮ࢆ⾜࠼࡚࠸ࡿࡇࡀ ☜ㄆ࡛ࡁࡿ㸬ࡲࡓ㸪ㄗࡾ⋡౫Ꮡࡏࡎࡰ୍ᐃ࡛ ࠶ࡿ㸬ࡋࡋ㸪୪ิᆺ&DVFDGHẚ㍑ࡋ࡚ಸ⛬ᗘ URXQG FRPPXQLFDWLRQࡀቑຍࡋ࡚࠸ࡿࡇࡀ☜ㄆ ࡛ࡁࡿ㸬ࡇࢀࡣ㸪SDVV⤊%,&21)ࢆ⾜࡞ࡗ ࡚࠸ࡿࡓࡵ࡛࠶ࡿ㸬ࡲࡓ㸪SDVV⣔ิ࡛ゞṇࡉࢀࡿ. ᅗ(IILFLHQF\ ᚑ᮶ᆺ୪ิᆺ2SW2SW
(40) . ㄗࡾࡢಶᩘࢆከࡃぢ✚ࡶࡿ㸪SDVV࡛⏝ࡍࡿ ࣈࣟࢵࢡࢧࢬࡀࡁࡃ࡞ࡿࡓࡵ㸪㏻ಙᅇᩘࡀቑ ຍࡍࡿ㸬 㸬ࡲࡵ ୪ิᆺ&DVFDGHࡢබ㛤ࣅࢵࢺᩘࡢ๐ῶࢆ┠ⓗ ࡋ࡚㸪ࣉࣟࢺࢥࣝ⏝࠸ࡿࣈࣟࢵࢡࡢࢧࢬࡢ᭱ 㐺ࢆ⾜࡞ࡗࡓ㸬ࡑࡢ⤖ᯝ㸪බ㛤ࣅࢵࢺᩘࢆ㸪. . ⛬ᗘ๐ῶࡍࡿࡇࡀ࡛ࡁࡓࡀ㸪㏻ಙᅇᩘࡀ୪ิᆺ. ᅗ㏻ಙᅇᩘ ᚑ᮶ᆺ୪ิᆺ2SW2SW
(41) . &DVFDGHࡢ⣙ಸ⛬ᗘቑຍࡋࡓ㸬. . ୍᪉࡛㸪㏻ಙᅇᩘබ㛤ࣅࢵࢺᩘࡢࡕࡽࢆ㔜. UHFRQFLOLDWLRQE\SXEOLFGLVFXVVLRQ´. どࡍࡿ࡛㸪᭱㐺࡞ࣈࣟࢵࢡࢧࢬࡢỴᐃἲࡀኚ. $GYDQFHVLQ&U\SWRORJ\(XURFU\SW¶ . ࡍࡿ⪃࠼ࡽࢀࡿ㸬. HGLWHGE\7+HOOHVHWK/HFWXUH1RWHVLQ. . &RPSXWHU6FLHQFHYROSS. ཧ⪃ᩥ⊩. 6SULQJHU%HUOLQ . 㸧&+%HQQHWWDQG*%UDVVDUG4XDQWXP.
(42) .<DPD]DNL51DLUDQG+3<XHQ. FU\SWRJUDSK\ 3XEOLFNH\GLVWULEXWLRQ. ³3UREOHPVRIWKH&DVFDGH3URWRFRODQGLWV. DQGFRLQWRVVLQJ,Q3URFHHGLQJVRI. $SSOLFDWLRQWR&ODVVLFDODQG4XDQWXP.H\. ,(((,QWHUQDWLRQDO&RQIHUHQFHRQ. *HQHUDWLRQ´3URFRIWKHWK,QW O&RQI. &RPSXWHUV6\VWHPVDQG6LJQDO. RI4XDQWXP&RPPXQLFDWLRQ0HDVXUHPHQW. 3URFHVVLQJYROXPHSDJH1HZ. DQG&RPSXWDWLRQSS1,&73UHVV. <RUN . . 㸧+./R´0HWKRGIRUGHFRXSOLQJHUURU.
(43) 72GDWRDQG.<DPD]DNL³3URSHUWLHVRI. FRUUHFWLRQIURPSULYDF\DPSOLILFDWLRQ´. 6HFUHW.H\5HFRQFLOLDWLRQ3URWRFRO. 1HZ-3K\V. ³&DVFDGH´ZLWK3DUDOOHO3URFHVVLQJ´.
(44) %HQQHWW&KDUOHV+HWDO³([SHULPHQWDO. 1&63SS. TXDQWXPFU\SWRJUDSK\´-RXUQDORI. . &U\SWRORJ\ . ᖺ᭶᪥ཎ✏ཷ㸪ᖺ᭶ ᪥᥇㘓Ỵᐃ.
(45) *%UDVVDUGDQG/6DOYDLO³6HFUHWNH\. &" ;/ <," <-(,= " ) <-" <-(,. ⋢ᕝᏛᕤᏛ㒊⣖せ ➨ 53 ྕ㸦2018 5 Memoirs of The Collegeᖺ㸧 of Engineering, Tamagawa University, No.53 (2018). 5.
(46)
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