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鑻鈭圔CNF
姣忎竴涓喅瀹氬睘鎬ч泦錛堝洜绱狅級(jí)閮藉寘鍚紙鍊欓夛級(jí)鐮?br />
R涓殑鎵鏈夊睘鎬э紙涓伙紝闈炰富灞炴э級(jí)閮藉畬鍏ㄥ嚱鏁頒緷璧栦簬鐮?br />
R鈭?NF錛堣瘉鏄庯級(jí)
鑻鈭?NF聽 聽 鍒櫬犅燫涓嶄竴瀹氣垐BCNF
鍦ㄥ叧緋繪ā寮廠TJ錛圫錛孴錛孞錛変腑錛孲琛ㄧず瀛︾敓錛孴琛ㄧず鏁欏笀錛孞琛ㄧず璇劇▼銆?br />
姣忎竴鏁欏笀鍙暀涓闂ㄨ銆傛瘡闂ㄨ鐢辮嫢騫叉暀甯堟暀錛屾煇涓瀛︾敓閫夊畾鏌愰棬璇撅紝灝辯‘瀹氫簡(jiǎn)涓涓浐瀹氱殑鏁欏笀銆傛煇涓鐢熼変慨鏌愪釜鏁欏笀鐨勮灝辯‘瀹氫簡(jiǎn)鎵閫夎鐨勫悕縐?錛毬?聽聽 聽聽 聽聽 聽聽 聽 (S錛孞)鈫扵錛?S錛孴)鈫扟錛孴鈫扟
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涓媯?span lang="EN-US">m闃剁殑B鏍?wèi)婊…懗涓嬪垪鏉′?/span>
鈭?/span>
(1) 姣忎釜緇撶偣鑷沖鏈?span lang="EN-US">m媯靛瓙鏍?wèi)銆?o:p>
(2) 闄ゆ牴緇撶偣澶栵紝鍏跺畠姣忎釜鍒嗘敮鑷沖皯鏈塵/2媯靛瓙鏍?wèi)銆?o:p>
(3) 鏍圭粨鐐硅嚦灝戞湁涓ゆ5瀛愭爲(wèi)(闄ら潪B鏍?wèi)鍙湁涓涓粨鐐?銆?o:p>
(4) 鎵鏈夊彾緇撶偣鍦ㄥ悓涓灞備笂銆?span lang="EN-US">B鏍?wèi)鐨勫彾缁撶偣鍙互鐪嬫垚涓縐嶅閮ㄧ粨鐐癸紝涓嶅寘鍚換浣曚俊鎭?o:p>
(5)
鏈?span lang="EN-US">j涓瀛愮殑闈炲彾緇撶偣鎭板ソ鏈塲-1涓叧閿爜錛屽叧閿爜鎸夐掑嬈″簭鎺掑垪銆傜粨鐐逛腑鍖呭惈鐨勪俊鎭負(fù)
鈭?/span>
(p0,k1,p1,k2,p2,
鈥?/span>
,kj-1,pj-1)
鍏朵腑錛?span lang="EN-US">ki涓哄叧閿爜錛屼笖婊¤凍ki<ki+1錛沺i涓烘寚鍚戝瓙鏍?wèi)鏍咕l撶偣鐨勬寚閽堬紝騫朵笖pi鎵鎸囩殑瀛愭爲(wèi)涓墍鏈夊叧閿爜k閮芥弧瓚砶i<k<ki+1銆?o:p>
瀹為檯涓婏紝濡傛灉涓涓粨鐐逛腑鏈?span lang="EN-US">j涓叧閿爜錛屽垯榪樺簲鍖呮嫭j涓寚鍚戠浉搴旇褰曠殑鎸囬拡錛屼嬌姣忎釜緇撶偣鏃㈡槸绱㈠紩鐨勭儲(chǔ)寮曞潡錛屽張鏄熀鏈儲(chǔ)寮曞潡(鑳界洿鎺ョ粰鍑?guó)櫘板綍瀛樻攽譁板潃鐨勭儲(chǔ)寮曞潡)銆?o:p>
1. B鏍?wèi)鐨勫畾涔?
聽聽 1970騫達(dá)紝R.Bayer鍜孍.mccreight鎻愬嚭浜?jiǎn)涓縐嶉傜敤浜庡鏌ユ壘鐨勬爲(wèi)錛屽畠鏄竴縐嶅鉤琛$殑澶氬弶鏍?wèi)锛尶U頒負(fù)B鏍?wèi)锛屽叾瀹氫箟濡備笅锛?xì)
聽聽 涓媯祄闃剁殑B鏍?wèi)婊…懗涓嬪垪鏉′挥灱?xì)
聽聽 鈶?鏍?wèi)涓瘡涓l撶偣鑷沖鏈塵涓瀛愶紱
聽聽 鈶?闄ゆ牴緇撶偣鍜屽彾瀛愮粨鐐瑰錛屽叾瀹冩瘡涓粨鐐硅嚦灝戞湁m/2涓瀛愶紱
聽聽 鈶?鑻ユ牴緇撶偣涓嶆槸鍙跺瓙緇撶偣錛屽垯鑷沖皯鏈?涓瀛愶紱
聽聽 鈶?鎵鏈夊彾瀛愮粨鐐歸兘鍑虹幇鍦ㄥ悓涓灞傦紝鍙跺瓙緇撶偣涓嶅寘鍚換浣曞叧閿瓧淇℃伅錛?br />聽聽 鈶?鏈塳涓瀛愮殑闈炵粓绔粨鐐規(guī)伆濂藉寘鍚湁k-1涓叧閿瓧銆?br />聽聽 鍦˙鏍?wèi)涓Q屾瘡涓粨鐐逛腑鍏抽敭瀛椾粠灝忓埌澶ф帓鍒楋紝騫朵笖褰撹緇撶偣鐨勫瀛愭槸闈炲彾瀛愮粨鐐規(guī)椂錛岃k-1涓叧閿瓧姝eソ鏄痥涓瀛愬寘鍚殑鍏抽敭瀛楃殑鍊煎煙鐨勫垎鍒掋?br />聽聽 鍥犱負(fù)鍙跺瓙緇撶偣涓嶅寘鍚叧閿瓧錛屾墍浠ュ彲浠ユ妸鍙跺瓙緇撶偣鐪嬫垚鍦ㄦ爲(wèi)閲屽疄闄呬笂騫朵笉瀛樺湪澶栭儴緇撶偣錛屾寚鍚戣繖浜涘閮ㄧ粨鐐圭殑鎸囬拡涓虹┖錛屽彾瀛愮粨鐐圭殑鏁扮洰姝eソ絳変簬鏍?wèi)涓墍鍖呭惈鐨勫叧閿瓧鎬諱釜鏁板姞1銆?br />聽聽 B鏍?wèi)涓殑涓涓寘鍚玭涓叧閿瓧錛宯+1涓寚閽堢殑緇撶偣鐨勪竴鑸艦寮忎負(fù)錛?錛坣,P0,K1,P1,K2,P2,鈥?Kn,Pn錛?br />聽聽 鍏朵腑錛孠i涓哄叧閿瓧錛孠1<K2<鈥?lt;Kn, Pi 鏄寚鍚戝寘鎷琄i鍒癒i+1涔嬮棿鐨勫叧閿瓧鐨勫瓙鏍?wèi)鐨勬寚閽堛?br />
2. B鏍?wèi)鐨勬煡鎵?
聽聽 鍦˙鏍?wèi)涓煡鎵揪l欏畾鍏抽敭瀛楃殑鏂規(guī)硶鏄紝棣栧厛鎶婃牴緇撶偣鍙栨潵錛屽湪鏍圭粨鐐規(guī)墍鍖呭惈鐨勫叧閿瓧K1,鈥?kj鏌ユ壘緇欏畾鐨勫叧閿瓧錛堝彲鐢ㄩ『搴忔煡鎵炬垨浜屽垎鏌ユ壘娉曪級(jí)錛岃嫢鎵懼埌絳変簬緇欏畾鍊肩殑鍏抽敭瀛楋紝鍒欐煡鎵炬垚鍔燂紱鍚﹀垯錛屼竴瀹氬彲浠ョ‘瀹氳鏌ョ殑鍏抽敭瀛楀湪鏌愪釜Ki鎴朘i+1涔嬮棿錛屼簬鏄彇Pi鎵鎸囩殑緇撶偣緇х畫鏌ユ壘錛岀洿鍒版壘鍒幫紝鎴栨寚閽圥i涓虹┖鏃舵煡鎵懼け璐ャ?br />
聽聽聽鏌ユ壘綆楁硶婕旂ず
聽聽 鎬ц兘鍒嗘瀽錛?br />
聽聽璁綛鏍?wèi)鍖呭惈N涓叧閿瓧錛屽洜姝ゆ湁N+1涓彾瀛愮粨鐐癸紝鍙跺瓙閮藉湪絎琁灞傘傚洜涓烘牴鑷沖皯鏈変袱涓瀛愶紝鍥犳絎簩灞傝嚦灝戞湁涓や釜緇撶偣銆傞櫎鏍瑰拰鍙跺瓙澶栵紝鍏跺畠緇撶偣鑷沖皯鏈夆攲m/2鈹愪釜瀛╁瓙錛屽洜姝ゅ湪絎笁灞傝嚦灝戞湁2*鈹宮/2鈹愪釜緇撶偣錛屽湪絎洓灞傝嚦灝戞湁2*鈹宮/2鈹?涓粨鐐癸紝錛庯紟錛庯紝鍦ㄧI灞傝嚦灝戞湁2*鈹宮/2鈹怚-1 涓粨鐐癸紝浜庢槸鏈夛細(xì)
聽聽 N+1 鈮?2*鈹宮/2鈹怚-1
聽聽 鍗籌細(xì) I 鈮?log鈹宮/2鈹? )
聽聽 榪欎釜鍏紡淇濊瘉浜?jiǎn)B鏍?wèi)鐨勬煡鎵炬晥鐜囨槸鐩稿綋楂樼殑銆?
3. B鏍?wèi)鐨勬彃鍏?
聽聽褰撳湪鍙跺瓙緇撶偣澶勪簬絎琇+1灞傜殑B鏍?wèi)涓彃鍏ュ叧閿瓧鏃跺Q岃鎻掑叆鐨勫叧閿瓧鎬繪槸榪涘叆絎琇灞傜殑緇撶偣銆?br />聽聽 鑻ュ湪涓涓寘鍚玧<m-1涓叧閿瓧鐨勭粨鐐逛腑鎻掑叆涓涓柊鐨勫叧閿瓧錛屽垯鎶婃柊鐨勫叧閿瓧鐩存帴鎻掑叆璇ョ粨鐐瑰嵆鍙紱浣嗚嫢鎶婁竴涓柊鐨勫叧閿瓧鎻掑叆鍒板寘鍚玬-1錛坢涓築鏍?wèi)鐨勯樣灱?jí)涓叧閿瓧鐨勭粨鐐逛腑錛屽垯灝嗗紩璧風(fēng)粨鐐圭殑鍒嗚銆傚湪榪欑鎯呭喌涓嬶紝瑕佹妸榪欎釜緇撶偣鍒嗚涓轟袱涓紝騫舵妸涓棿鐨勪竴涓叧閿瓧鎷垮嚭鏉ユ彃鍒拌緇撶偣鐨勫弻浜茬粨鐐逛腑鍘伙紝鍙屼翰緇撶偣涔熷彲鑳芥槸婊$殑錛屽氨闇瑕佸啀鍒嗚銆佸啀寰涓婃彃錛屼粠鑰屽彲鑳藉鑷碆鏍?wèi)鍙兘鏈濈潃鏍圭殑鏂瑰悜鐢熼暱銆?br />聽聽 鎻掑叆綆楁硶婕旂ず
4. B鏍?wèi)鐨勫垹闄?
聽聽褰撲粠B鏍?wèi)涓垹闄や竴涓叧閿瓧Ki鏃訛紝鎬葷殑鍒嗕負(fù)浠ヤ笅涓ょ鎯呭喌錛?br />聽聽 濡傛灉璇ュ叧閿瓧鎵鍦ㄧ殑緇撶偣涓嶆槸鏈涓嬪眰鐨勯潪鍙跺瓙緇撶偣錛屽垯鍏堥渶瑕佹妸姝ゅ叧閿瓧涓庡畠鍦˙鏍?wèi)涓悗鐟翦?guī)崲浣嶇疆錛屽嵆浠ユ寚閽圥i鎵鎸囧瓙鏍?wèi)涓殑鏈灝忓叧閿瓧Y浠f浛Ki錛岀劧鍚庡湪鐩稿簲鐨勭粨鐐逛腑鍒犻櫎Y銆?br />聽聽濡傛灉璇ュ叧閿瓧鎵鍦ㄧ殑緇撶偣姝eソ鏄渶涓嬪眰鐨勯潪鍙跺瓙緇撶偣錛岃繖縐嶆儏鍐典笅錛屼細(xì)鏈変互涓嬩袱縐嶅彲鑳斤細(xì)
聽聽 鈶?鑻ヨ鍏抽敭瀛桲i鎵鍦ㄧ粨鐐逛腑鐨勫叧閿瓧涓暟涓嶅皬浜庘攲m/2鈹愶紝鍒欏彲浠ョ洿鎺ヤ粠璇ョ粨鐐逛腑鍒犻櫎璇ュ叧閿瓧鍜岀浉搴旀寚閽堝嵆鍙?聽
聽聽 鈶?鑻ヨ鍏抽敭瀛桲i鎵鍦ㄧ粨鐐逛腑鐨勫叧閿瓧涓暟灝忎簬鈹宮/2鈹愶紝鍒欑洿鎺ヤ粠緇撶偣涓垹闄ゅ叧閿瓧浼?xì)瀵艰嚧姝ぞl撶偣涓墍鍚叧閿瓧涓暟灝忎簬鈹宮/2鈹?1 銆傝繖縐嶆儏鍐典笅錛岄渶鑰冨療璇ョ粨鐐瑰湪B鏍?wèi)涓殑宸︽垨鍙冲厔寮熅l撶偣錛屼粠鍏勫紵緇撶偣涓Щ鑻ュ共涓叧閿瓧鍒拌緇撶偣涓潵錛堣繖涔熸秹鍙?qiáng)瀹冧滑鐨勫弻浜簿l撶偣涓殑涓涓叧閿瓧瑕佷綔鐩稿簲鍙樺寲錛夛紝浣夸袱涓粨鐐逛腑鎵鍚叧閿瓧涓暟鍩烘湰鐩稿悓錛涗絾濡傛灉鍏跺厔寮熺粨鐐圭殑鍏抽敭瀛椾釜鏁頒篃寰堝皯錛屽垰濂界瓑浜庘攲m/2鈹?1 錛岃繖縐嶇Щ鍔ㄥ垯涓嶈兘榪涜錛岃繖縐嶆儏褰笅錛岄渶瑕佹妸鍒犻櫎浜?jiǎn)鍏抽敭瀛桲i鐨勭粨鐐廣佸畠鐨勫厔寮熺粨鐐瑰強(qiáng)瀹冧滑鍙屼翰緇撶偣涓殑涓涓叧閿瓧鍚堝茍涓轟竴涓粨鐐廣?br />聽聽