鎽樿

姝よ鏂囨弿杩扮殑鏄仐浼犵畻娉?/span>(GA)瑙ｅ喅鏄湪鍒堕€犵郴缁熻璁′腑浜х敓鏈€浼樿鏂藉竷灞€鑰屼娇鐗╂枡鎼繍鎴愭湰鏈€浣?/span>.姝よ鏂囪涓?/span>GA鍦ㄤ笉鍚岀殑鐗╂枡娴佸舰寮忓湪娴佹按绾?/span>:娴佹按绾?/span>(鍗曠嚎)澶氬搧绉?/span>,澶氱嚎甯冪疆,鍗婂渾褰㈠竷缃?/span>,鐜矾甯冪疆,鐩告瘮鍏跺畠鏂规硶鍏锋湁閲忓寲鐗规€т笖鏇存湁鏁?/span>.缁撴灉鏄剧ずGA鍦ㄨВ鍐宠鏂借鍒掗棶棰樹腑鏄竴涓湁鏁堢殑宸ュ叿銆?/span>

鍏抽敭瀛?/span>:璁炬柦瑙勫垝;GA;缁勫悎鏈€浼樺寲;鐗╂枡娴?span lang="EN-US">

1.寮曡█

鏈夋晥鐨勮鏂藉竷缃璁″噺灏戜骇鍝佸埗閫犲懆鏈?/span>,澧炲姞浜ч噺.鍥犳鎻愰珮浜嗗伐鍘傛€荤殑鐢熶骇鐜?/span>.鍦ㄥ埗閫犵郴缁熶腑涓昏甯冪疆绫诲瀷鏈夋寜娴佺▼甯冪疆,娴佹按绾垮竷缃?/span>,鍗曠嚎,澶氱嚎,鍗婂渾褰?/span>,鐜舰甯冪疆.鍦ㄥ浘1涓垪鍑轰簡杩欎簺涓嶅悓鐨勫竷缃舰寮?/span>.鍦ㄥ浘涓瘡涓€涓柟鏍艰〃绀虹浉搴旂紪鍙疯澶囩殑浣嶇疆搴忓彿銆傚崟绾胯鏂借鍒掗棶棰樺湪鍒堕€犱笉鍚屼骇閲忓拰涓嶅悓宸ヨ壓鐨勪骇鍝佹椂琚€冭檻鍒般€傞€夋嫨涓嶅悓鐨勭壒瀹氱殑甯冪疆鏂瑰紡鐢变粠璁惧鍒拌澶囩殑涓嶅悓鐨勬惉杩愭柟寮忔潵鍐冲畾銆?/span>

鍥?/span>1 涓嶅悓鐨勫竷缃柟寮?/span>

閫夋嫨涓€绫昏澶囩殑甯冪疆鏂瑰紡锛屾槸鍙楀椤瑰洜绱犲奖鍝嶏紝鍗虫湁澶氬皯鏈哄櫒锛屽彲鐢ㄧ┖闂达紝鐩镐技鐨勫伐鑹烘祦绋嬪拰鐗╂枡鎼繍绯荤粺鐨勪娇鐢ㄦ儏鍐点€傛湁璁稿绫诲瀷鐨勭墿鏂欐惉杩愯澶囷紝鍏朵腑鍖呮嫭锛氳嚜鍔ㄥ寮曡溅銆佽緭閫佹満绯荤粺銆佹満鍣ㄤ汉绛夈€傚湪鐜颁唬鍖栧埗閫犵郴缁熺殑璁炬柦瑙勫垝璁捐涓紝閫夌敤浣曠鐗╂枡鎼繍绯荤粺璁惧鏄潪甯搁噸瑕佺殑銆?/span>

鏈枃浣跨敤鐨勬柟娉曟槸鍦ㄨ澶囧竷灞€璁捐涓紝鏂拌澶囪瀹夋帓杩涙煇涓€涓壒瀹氱殑杞﹂棿璁惧甯冪疆闂寰楀埌浼樺寲鐨勪竴绉嶆柟娉曘€傛湰鏂囩殑鏂规硶鏄渶灏忓寲鐗╂枡鎼繍鎴愭湰銆傛闂灞炰簬闈炵害鏉熷椤瑰紡绫伙紙NP绾︽潫锛夈€傞棶棰樼殑澶嶆潅鎬ф寚鏁板ぇ澶у鍔犵敱浜庤澶囧ぇ閲忕殑鍙兘鏀剧疆鐐广€?/span>

杩欓」鐮旂┒鎻愬嚭浜嗕竴绉嶉仐浼犵畻娉曪紙 GA 锛夌殑鏂瑰紡锛屽湪涓€涓埗閫犺鏂借鍒掍腑锛屼互纭畾鏈€浣崇殑甯冨眬涓轰笉鍚岀殑鐗╂枡娴佺郴缁熴€備紭鍖栨ā鍨嬭浠嬬粛鐢ㄤ簬鐮旂┒甯冪疆璁惧鐨勪笉鍚屽舰寮忕殑鐗╂枡娴佺殑鍒堕€犵幆澧冦€備妇渚嬭鏂规硶鐨勫埄鐢ㄦ暟鍊兼柟寮忓浠ュ線娴佹按绾夸綔涓氳溅闂寸被鍨嬫槸寰堟湁鏁堢殑銆傚彟涓€涓疄渚嬫槸GA鐢ㄤ簬澶氬搧绉嶄骇鍝佹祦姘寸嚎甯冪疆闂鐨勮В鍐炽€傜粨鏋滆〃鏄庯紝GA鎻愪緵浜嗕竴绉嶆湁鏁堢殑鏂规硶鏉ヨВ鍐宠鏂藉竷缃棶棰樸€?/span>

2.寤虹珛鏁板妯″瀷

璇ヨ鏂藉竷缃棶棰樻槸鍦ㄤ竴涓埗閫犲瀷宸ュ巶涓浣曞皢M涓澶囧畨鎺掑埌N涓澶囧竷缃偣銆傚湪鍒堕€犱骇鍝佽繃绋嬩腑锛岀墿鏂欐祦浠庝竴鍙拌澶囧悜鍙︿竴鍙拌澶囨祦鍔紝鐩磋嚦鎵€鏈夊姞宸ュ伐搴忓畬鎴愪负姝€傚洜姝よВ鍐宠В鍐宠澶囧竷灞€闂灏辨槸闄嶄綆鎬荤殑鐗╂枡鎼繍绯荤粺鐨勬垚鏈€傚畾涔夋煇涓€甯冪疆鏂瑰紡鐨勭墿鏂欐惉杩愭垚鏈紝鐢熶骇浜ч噺銆佺敓浜ц矾绾裤€佹垚鏈〃銆佹満鍣?span lang="EN-US">/浣嶇疆涔嬮棿鐨勮窛绂绘槸宸茬煡鐨勩€傚畾涔変互涓嬬鍙锋槸鐢ㄤ簬纭畾鐨勭洰鏍囧嚱鏁帮細

涓鸿澶?/span>i涓庤澶?/span>j鐨勭墿鏂欐祦閲?/span>

涓鸿澶?/span>i涓庤澶?/span>j鐨勫崟浣嶇墿鏂欐祦鎴愭湰

涓鸿澶?/span>i涓庤澶?/span>j鐨勭洿绾胯窛绂?/span>

涓虹墿鏂欐惉杩愮郴缁熸€绘垚鏈?span lang="EN-US">

瀹氫箟鐗╂枡鎼繍绯荤粺鎬绘垚鏈?/span>

鍦ㄦ湰璁烘枃涓彁鍙婃鍑芥暟鏄渶灏忓寲鐗╂枡鎼繍绯荤粺鐨勭墿鏂欐惉杩愭垚鏈紝杩欎篃鏄紬澶氱爺绌朵汉鍛樻瘮杈冨€惧悜鐨勮В鍐宠鏂藉竷缃棶棰樼殑鏍囧噯鏂规硶銆傛鏂规硶涔熼€傜敤浜庡叾瀹冪殑鐩爣鍑芥暟

3.閬椾紶绠楁硶(GA)

3.1 鑳屾櫙

鍦ㄦ棭鏈熺爺绌惰鏂藉竷缃棶棰樼殑鐮旂┒鑰呬滑璁や负锛屾潵瑙ｅ喅璁炬柦甯冪疆闂鏈€濂界殑鏂规硶鏄€氳繃鏀硅繘鏅€氫簩娆″垎閰嶉棶棰橈紙QAP锛夈€傜敤QAP鏉ヨВ鍐宠鏂藉竷缃棶棰橈紝閲囩敤闅愭灇涓剧殑鏂规硶锛屽姹傚垏闈紝鏍戝拰绾︽潫鍔炴硶锛屾垨鍏跺畠杩愮瀛︽妧鏈彲浠ユ渶澶ч檺搴︾殑瑙ｅ喅璁惧甯冪疆鏈€浼樺寲闂銆傚彧鏈夊綋闂鐨勮妯″緢灏忔椂锛屽湪鍚堢悊鐨勬椂闂村唴锛岃繖鎵嶅彲鑳芥槸鑾峰緱绮剧‘瑙ｆ渶浣虫柟娉曘€傜粨鏋滄樉绀猴紝QAP瑙ｅ喅闂鐨勬椂闂存槸涓€涓叧浜庡竷缃澶囨暟閲忓憟鎸囨暟澧為暱鍑芥暟鍏崇郴銆?/span>

閬椾紶绠楁硶锛?/span>GA锛夊湪鏈€杩戠殑鏂囩尞閮藉緱鍒颁簡寰堝ぇ鐨勫叧娉ㄧ敱浜庡畠浠笉渚濊禆浜庡垎鏋愮殑鍑芥暟鑰岃嚜宸卞張骞挎硾閫傚悎浜庡悇绉嶄紭鍖栭棶棰樸€傞仐浼犵畻娉曪紙GA锛夋槸涓€绉嶉殢鏈烘悳绱㈡妧鏈紙Goldberg,1989;Michalewicz, 1992锛夈€傚畠浠庡熀鍥犲強杩涘寲鐞嗚锛?/span> Kazerooni ,Luonge 锛?/span> Abhary ,1995; Tavakkoli Shayan ,1997; Venugopal 锛?/span> Narendran ,1992 Zhang, Zhu, &Luo, 1997锛夊彂鎺樺彲浠ヨВ绌洪棿鍒╃敤鐨勬蹇点€傝繎骞存潵锛岄仐浼犵畻娉曚负瑙ｅ喅璁炬柦甯冪疆闂鎻愬嚭涓€绉嶅垱鏂扮殑鏂规硶(Al-Hakim, 2000; Gau & Meller,1999; Hamamoto, 1999; Islier, 1998; Rajasekharan,Peters, & Yang, 1998) 銆?/span>GA浠ヤ竴缁勯殢鏈虹殑鍘熷瑙ｉ泦鍚堝紑濮嬶紝杩欎釜闆嗗悎琚О浣滅缇ゃ€傜缇ょ殑涓綋琚О浣滄煋鑹蹭綋锛岀缇ょ殑鏌撹壊浣撻鍏堟牴鎹墿鏂欐惉杩愮郴缁熸垚鏈‘瀹氱殑鍑芥暟銆傛煋鑹蹭綋褰㈡垚杩炵画杩唬琚О涓轰唬锛屽湪姣忎竴浠ｄ腑绉嶇兢鍐呮煋鑹蹭綋缁忚繃浜ゅ弶鍜屽彉寮傦紝鍒涢€犱簡鏂扮殑涓€浠ｃ€傝繖绉嶇粡杩囦氦鍙夌殑鏌撹壊浣撳舰鎴愮殑鏂版煋鑹蹭綋鐨勬潅浜よ繃绋嬭绉颁负绐佸彉锛屾潅浜ゆ槸涓€涓殢鏈虹殑閫氳繃鏌撹壊浣撶殑娣峰悎鍜屽鎺ヨ繃绋嬶紝浠庤€屼骇鐢熶竴瀵规柊鐨勬煋鑹蹭綋锛堝悗浠ｏ級銆傜獊鍙樻槸閫氳繃閲嶇粍鏌撹壊浣撲骇鐢熸柊涓€浠ｇ殑杩囩▼銆傚綋鏂颁竴浠ｄ骇鐢熷氨闇€瑕佸垹闄や笂涓€浠ｇ缇ら噷鐨勫厓绱狅紝浠ヨ吘鍑虹┖闂寸粰鏂扮殑涓€浠ｏ紝褰㈡垚鏂扮殑绉嶇兢銆傝繖涓繃绋嬩竴鐩磋凯浠ｇ洿鍒拌揪鍒颁竴涓爣鍑嗙偣鑰岀粓姝€傚湪姝よ鏂囦腑鐨勯仐浼犳悳绱㈣繃绋嬫鎷涓嬶細

1.      闅忔満鐢熸垚涓€涓垵濮嬬缇よ妯′负P鐨勬煋鑹蹭綋闆嗗悎锛?/span>

2.      鏍规嵁鐗╂枡鎼繍绯荤粺鐨勬垚鏈柟绋嬭瘎浼扮兢浣撶殑姣忎竴涓煋鑹蹭綋锛?/span>

3.      纭畾涓€涓钩鍧囧悎閫傜殑绉嶇兢锛?/span>

4.      鍦ㄥ師绉嶇兢鍒╃敤浼樿儨鍔ｆ卑鐨勬硶鍒欐窐姹版渶宸釜浣擄紝鐣欎綇鏈€浼樻煋鑹蹭綋澶嶅埗鍒颁笅涓€浠ｇ殑绉嶇兢涓幓銆備负浜嗚绠楃殑鏈夋晥鎬у拰缁忔祹鎬э紝绉嶇兢涓煋鑹蹭綋鎬绘暟淇濇寔涓嶅彉锛岀粺璁″钩鍧囨煋鑹蹭綋鐨勮涓哄寘鎷偅浜涜娣樻卑閭ｄ簺琚鍒跺埌涓嬩竴浠ｄ綔涓烘爣鍑嗭紝琚垹闄ょ殑鏌撹壊浣撶殑鍊?/span>P锛?/span>k锛夊熀鏈澶т簬1.5鍊嶇殑鏂扮兢浣擄紙鏂版煋鑹蹭綋鍜岃澶嶅埗鐨勬煋鑹蹭綋缁勬垚鐨勬柊绉嶇兢锛夌殑骞冲潎鍊硷紱

5.      杩愮敤Monte Carlo閫夋嫨鎶€鏈粠鐜版湁缇や綋閫夋嫨鐖朵唬鏌撹壊浣擄紝杩欐槸鐢ㄤ簬闅忔満浜ゅ弶鍜屽彉寮傜殑鐖朵唬鏌撹壊浣擄紱

6.      缁熻鍦ㄥ師绉嶇兢鍩虹涓婅繍鐢ㄤ氦鍙夊拰鍙樺紓鐨勬搷浣滀骇鐢熸柊鏌撹壊浣撶殑鐨勬鐜囷紙鍒嗗埆涓?/span>Pc鍜?/span>Pm锛夛紝鍘熺缇ゅ墿涓嬬殑浼樿川鏌撹壊浣撶殑姒傜巼锛?/span>

7.      妫€鏌ユ槸鍚﹁揪鍒颁笌棰勫厛璁惧畾鐨勫仠姝㈡悳绱㈢殑鍑嗗垯锛屾弧瓒冲噯鍒欏氨鍋滄鎼滅储锛屽惁鍒欏氨杩涜涓嬩竴娆″惊鐜紝浜х敓鏂扮殑涓€浠ｏ紝缁х画绗?/span>2姝ャ€?/span>GA鐨勫浼樻祦绋嬪湪鍥?/span>2涓〃绀恒€?/span>

3.2缂栫爜鍒跺害

GA鎶€鏈殑闇€瑕佷竴涓紪鐮佸埗搴︼紙鏌撹壊浣擄級锛屽湪姝よ鏂囦腑锛屾暣涓敓浜ц溅闂?span lang="EN-US">/閮ㄩ棬琚垝鍒嗘垚n缃戞牸锛屾瘡涓綉鏍间唬琛ㄤ簡涓€鍙拌澶囩殑浣嶇疆銆傚湪杩欓」鐮旂┒涓紝鐮佽鐩存帴琛ㄧず鎴愭煇绉嶅舰寮忥紝鍥?span lang="EN-US">3鎵€绀恒€傝〃绀轰笉鍚屽悇绫诲瀷鐢熶骇杞﹂棿甯冨眬涓嶅悓鐨勪緥瀛愶紝鍏剁紪鐮佺殑鏌撹壊浣撲唬琛ㄤ唬琛ㄦ墍鏈夊竷缃柟寮忛噷鐨勬煇涓€鍙兘鐨勮澶囧竷缃柟寮忋€備緥锛氭煇娴佹按绾夸綔涓氳溅闂村寘鎷節鍙拌澶?span lang="EN-US">/閮ㄩ棬锛岀敓浜ф祦绾垮寘鍚簲涓伐浣滅珯锛屽娴佹按绾跨嚎鍒堕€犵郴缁熷寘鍚叚涓澶囧竷缃偣锛屼竴涓幆寮忚澶囧竷缃柟寮忔湁8鍙版満鍣紝浣嶇疆绗﹀彿e浠ｈ〃涓€涓┖浣嶏紝琛ㄧず鍦ㄨ繖涓尯鍩熸病鏈夊凡缁忚甯冪疆鐨勮澶囥€?span lang="EN-US">
3.3閫夋嫨鎿嶄綔

閫夋嫨鎿嶄綔鏄粠绉嶇兢涓€夋嫨鐖朵唬鏌撹壊浣擄紝Monte Carlo鐨勯€夋嫨鎶€鏈搴旂敤鍏朵腑銆傜埗浠ｆ煋鑹蹭綋閫夋嫨娴佺▼濡備笅锛?span lang="EN-US">

1.  鏍规嵁鍏紡锛?/span>1锛?/span>璁＄畻绉嶇兢鎵€鏈夊厓绱犲悎鐞嗙殑鍊?/span> 锛?/span>

2.  鍦?span lang="EN-US">0鍜?/span> 鍖洪棿鍐呴€夋嫨浠讳竴闅忔満鏁板€间负n锛?span lang="EN-US">

3.  杩斿洖绗竴浠ｅ叿鏈夊悎閫傚€肩缇ゅ厓绱狅紝澧炲姞鍚堥€傚€煎埌绗竴浠ｇ缇ゅ厓绱犱腑锛屼娇寰楃缇ゅぇ浜庢垨绛変簬n锛?span lang="EN-US">

4.  绗簩浠ｇ缇ら噸澶嶇涓夋骞舵鏌ユ柊浜х敓鐨勬煋鑹蹭綋鍏冪礌鏄惁鍜岀涓€浠ｇ缇ゅ厓绱犵浉鍚屻€?span lang="EN-US">

3.4 鏉備氦鎿嶄綔

鍙戠敓鏉備氦鐨勬鐜?span lang="EN-US">Pc鏄湁鏉備氦鎿嶄綔鑰呰祴浜堢殑鍊硷紝浣欎笅鐨勬煋鑹蹭綋灏嗕骇鐢熶笌鐖朵唬鏌撹壊浣撲竴鑷寸殑鏌撹壊浣撱€傚惁鍒欙紝琚€夋嫨鐢ㄤ簬鏉備氦鐨勬煋鑹蹭綋灏嗚鎿嶄綔鑰呯敤浜庝氦鍙夋潅浜や粠鑰屼骇鐢熶袱涓瓙浠ｆ煋鑹蹭綋銆傚湪鏈鏂囦腑涓€涓柊鐨勪氦鍙夋搷浣滃缓璁涓嬶紝纭畾涓€瀵圭埗浠ｆ煋鑹蹭綋锛?/span>P1锛?/span>P2锛?/span>濡備笅鎵€绀猴細

棣栧厛锛岄€夋嫨涓や釜闅忔満鏁版嵁缁欑埗浠ｆ煋鑹蹭綋锛屽亣璁惧湪杩欎釜渚嬪瓙涓殑鐨勪袱涓殢鏈烘暟瀛楁槸4鍜?span lang="EN-US">7锛岃鍩哄洜鍏锋湁鍙屽唴琛竟鐣屽唴鍒囧墫闈紙Cutting Section锛夈€傚嵆P1涓殑锛?/span>5锛?/span>2锛?/span>8锛?/span>3锛?/span>鍜?span lang="EN-US">P2涓殑锛?/span>7锛?/span>5锛?/span>2锛?/span>9锛?/span>锛岄儴鍒嗙殑鍩哄洜缂栫爜浠?span lang="EN-US">P1浜ゆ崲鍒?span lang="EN-US">P2锛岃繖鏍锋柊鐨勬煋鑹蹭綋缁撴瀯灏变骇鐢熶簡锛?span lang="EN-US">

鍦ㄨ繖涓樁娈碉紝鏂板拰鎴愮殑鏌撹壊浣撲笂瀛樺湪鐩稿悓鐨勪竴浜涘熀鍥狅紝渚嬪P1¯鏈?span lang="EN-US">7锛?span lang="EN-US">9锛?/span>P2¯鏈?span lang="EN-US">3锛?span lang="EN-US">8銆傝繖鎰忓懗鐫€涓€鍙拌澶囧湪璁炬柦甯冪疆瑙勫垝涓湁澶氫釜鍙兘鏀剧疆鐐癸紝涓€绉嶈惤鍚庣殑鏇挎崲绋嬪簭鍙互鏀瑰彉鍦ㄥ唴琛竟鐣屽唴鍒囧墫闈㈠鐩稿悓鍩哄洜鐨勫€硷紝杩欑鍦?/span>P1¯鍒囧墫闈㈠鐩稿悓鐨勫熀鍥犵敤5鏇挎崲鍘熸潵绗笁娈靛熀鍥犵殑7锛屽洜涓?span lang="EN-US">P1涓殑鍩哄洜5鏄敱浜庡拰P2涓殑鍩哄洜7,鐒惰€?/span>P1¯鍐呰‖杈圭晫鍐呭垏鍓栭潰涓殑鍩哄洜5鍑虹幇閲嶅,姝ゅ熀鍥犲啀娆℃敼鍙樹负2銆傚湪P1¯鐨勫熀鍥?span lang="EN-US">9琚熀鍥?span lang="EN-US">3鏇挎崲浠庤€屼骇鐢熶笅涓€浠ｆ煋鑹蹭綋c1锛屽湪P2¯鍐呰‖杈圭晫鍐呭垏鍓栭潰鐨勯噸澶嶅熀鍥犺閲嶇粍閫氳繃鍩哄洜8鏇挎崲鎴?span lang="EN-US">7锛?span lang="EN-US">8鏇挎崲鎴?span lang="EN-US">2锛?span lang="EN-US">2鏇挎崲鎴?span lang="EN-US">5锛?span lang="EN-US">5鏇挎崲鎴?span lang="EN-US">7鐨勭患鍚堢粨鏋滐級鍜屽熀鍥?span lang="EN-US">3鏇挎崲鎴?span lang="EN-US">9銆備笅涓€浠ｆ煋鑹蹭綋c1,c2鍙樻垚涓猴細

鍐呰‖杈圭晫鍐呭垏鍓栭潰鐨勫熀鍥犺鎿嶄綔鑰呴殢鏈洪€夋嫨鐢ㄤ簬浜ゅ弶鏉備氦锛屽鏋滄煋鑹蹭綋鏈夊ぇ閲忓熀鍥犱俊鎭紝鍩哄洜淇℃伅澶ф垨灏忕殑鍐呰‖杈圭晫鍐呭垏鍓栭潰鏄笉鍚岀殑,杩欎篃鏄繖绉嶆柟娉曠殑鏌旀€с€傚啀鍒欙紝涓烘潅浜ゆ搷浣滆€呭鍔犵殑鏌旀€э紝鍦ㄨ繖涓柟娉曢噷绌虹潃璁惧甯冪疆鐐癸紙鏌撹壊浣撲笂鐨勫瓧姣?span lang="EN-US">e琛ㄧず锛夎澶勭悊涓哄湪杩囩▼涓病鏈変换浣曟敼鍙樼殑甯冪疆鐐广€傜埗浠ｆ煋鑹蹭綋浜ゆ崲鍐呰‖杈圭晫鍐呭垏鍓栭潰鐨勫熀鍥?span lang="EN-US">,姝ょ畻娉曡〃鐜板湪绗竴姝ユ鏌ユ槸鍚﹀瓙浠ｆ煋鑹蹭綋鏄惁鏃╃啛鍜岀┖鐫€鐨勫熀鍥犳涓庣埗浠ｆ煋鑹蹭綋涓€鑷淬€?span lang="EN-US">

3.5绐佸彉鎿嶄綔

绐佸彉鎿嶄綔鏃朵负浜嗛噸缁勬煋鑹蹭綋鐨勭粨鏋勩€傝繖鐮旂┒涓紝鍩哄洜绐佸彉涓昏鏄殢鏈洪€夋嫨涓や釜鍩哄洜浜ゆ崲瀹冧滑鐨勫唴瀹广€傝繖绉嶅崟涓熀鍥犵獊鍙樼殑姒傜巼琚О涓虹獊鍙樼巼锛?span lang="EN-US">Pm锛夛紝瀹冧竴鑸槸涓€涓緢灏忕殑鏁板€笺€傚熀鍥犵獊鍙樺鍔犱簡瀵讳紭鐨勫己搴︼紝涓轰簡瑙ｉ噴绐佸彉鐨勫繀瑕佹€э紝涓昏鍦ㄤ簬瀹冭В鍐冲熀鍥犳潅浜ゅ拰绻佹畺鍙兘涓嶈兘澶熶骇鐢熼棶棰樼殑鏈€浼樿В銆傚湪杩欎釜绐佸彉鍒涢€犲熀鍥犵殑杩囩▼鍙兘浼氫娇寰楃兢浣撶殑澶ч噺鍩哄洜淇℃伅涓㈠け锛屾墍浠ユ楠屽師缇や綋姝ｇ‘鎬ф垨鏃╃啛鐨勬渶浼樿В锛堜緥锛氬彧闇€瑕佷氦鎹竴涓熀鍥犲拰鍙︿竴鍩哄洜锛夋樉寰楅潪甯搁噸瑕併€傞€氳繃绻佹畺鍜屾潅浜や骇鐢熶笅涓€浠ｇ殑鏌撹壊浣撴湁鍙兘涓嶈兘瑙ｅ喅闂锛屾鏃讹紝绐佸彉鏄惧緱寰堥噸瑕併€?span lang="EN-US">

3.6缁堟鍑嗗垯

姝ょ▼搴忓皢琚粓姝㈢洿鍒拌揪鍒颁簡鏈€澶х殑缁撴灉鐨勪竴浠ｏ紝鎴栬€呰揪鍒扮兢浣撴敹鏁涚偣銆?span lang="EN-US">

4.渚嬪瓙

4.1 渚?span lang="EN-US">1

    鐢ㄦ暟鍊间緥瀛愭潵璇勪及鎴戜滑鐨勬柟娉?span lang="EN-US">:绗竴涓緥瀛愭槸姣旇緝Chan and Tansri (1994)鍜?span lang="EN-US"> Mak, Wong, and Chan (1998)浣跨敤鐩稿悓鐨勬柟娉曟潵璇勪及浠栦滑鐨勭爺绌躲€?span lang="EN-US">

琛?span lang="EN-US">1璁惧涔嬮棿鐨勭墿鏂欐祦

璇戞枃鍘熸枃鍑哄锛?/span>M. Adel El-Baz. A genetic algorithm for facility layout problems of different manufacturing environments. Computers & Industrial Engineering 47 (2004) 233–246

鍥?

鍥?

鐩稿叧涓嬭浇锛?br />