TSP
闂鐨勯仐浼犵畻娉曟眰瑙?/p>
鎽樿
锛氶仐浼犵畻娉曟槸妯℃嫙鐢熺墿杩涘寲杩囩▼鐨勪竴绉嶆柊鐨勫叏灞�浼樺寲鎼滅储绠楁硶锛屾湰鏂囩畝
鍗曚粙缁嶄簡閬椾紶绠楁硶锛屽苟搴旂敤鏍囧噯閬椾紶绠楁硶瀵规梾琛屽寘闂杩涜姹傝В銆?/p>
鍏抽敭璇?/p>
锛氶仐浼犵畻娉曘�佹梾琛屽寘闂
涓�銆?/p>
鏃呰鍖呴棶棰樻弿杩帮細
鏃呰鍟嗛棶棰橈紝鍗?/p>
TSP
闂锛?/p>
Traveling Saleman Problem
锛夋槸鏁板棰嗗煙鐨勪竴
涓憲鍚嶉棶棰橈紝
涔熺О浣滆揣閮庢媴闂锛?/p>
绠�鍗曟弿杩颁负锛?/p>
涓�涓梾琛屽晢闇�瑕佹嫓璁?/p>
n
涓煄甯?/p>
锛?/p>
1
锛?/p>
2
锛?/p>
鈥?/p>
锛?/p>
n
锛夛紝浠栧繀椤婚�夋嫨鎵�璧扮殑璺緞锛屾瘡涓煄甯傚彧鑳芥嫓璁夸竴娆★紝鏈�鍚庡洖
鍒板師鏉ュ嚭鍙戠殑鍩庡競锛屼娇寰楁墍璧扮殑璺緞鏈�鐭�傚叾鏈�鏃╃殑鎻忚堪鏄?/p>
1759
骞存鎷夌爺绌?/p>
鐨勯獞澹懆娓搁棶棰橈紝瀵逛簬鍥介檯璞℃妫嬬洏涓殑
64
涓柟鏍硷紝璧拌
64
涓柟鏍间竴娆′笖鏈�
缁堣繑鍥炶捣濮嬬偣銆?/p>
鐢ㄥ浘璁鸿В閲婁负鏈変竴涓浘
G=
锛?/p>
V,E
锛夛紝鍏朵腑
V
鏄《鐐归泦锛?/p>
E
鏄竟闆嗭紝璁?/p>
D=
锛?/p>
d
ij
锛?/p>
鏄湁椤剁偣
i
鍜岄《鐐?/p>
j
涔嬮棿鐨勮窛绂绘墍缁勬垚鐨勮窛绂荤煩闃碉紝
鏃呰鍟嗛棶棰樺氨鏄眰鍑?/p>
涓�鏉￠�氳繃鎵�鏈夐《鐐逛笖姣忎釜椤剁偣鍙兘閫氳繃涓�娆＄殑鍏锋湁鏈�鐭窛绂荤殑鍥炶矾銆傝嫢瀵逛簬
鍩庡競
V={v1
锛?/p>
v2
锛?/p>
v3
锛?/p>
...
锛?/p>
vn}
鐨勪竴涓闂『搴忎负
T=(t1
锛?/p>
t2
锛?/p>
t3
锛?/p>
鈥?/p>
锛?/p>
ti
锛?/p>
鈥?/p>
锛?/p>
tn)
锛屽叾涓?/p>
ti
鈭?/p>
V(i=1
锛?/p>
2
锛?/p>
3
锛?/p>
鈥?/p>
锛?/p>
n)
锛屼笖璁?/p>
tn+1= t1
锛屽垯鏃呰鍟嗛棶棰樼殑鏁板妯″瀷
涓猴細
min
L=危d(t
(i),t(i+1))
锛?/p>
i=1
锛?/p>
鈥?/p>
锛?/p>
n
锛?/p>
鏃呰鍟嗛棶棰樻槸涓�涓吀鍨嬬粍鍚堜紭鍖栫殑闂锛屾槸涓�涓?/p>
NP
闅鹃棶棰橈紝鍏跺彲鑳界殑
璺緞鏁颁负锛?/p>
n-1
锛?/p>
锛?/p>
锛岄殢鐫�鍩庡競鏁扮洰鐨勫鍔狅紝璺緞鏁版�ュ墽澧炲姞锛屽涓庡皬瑙勬ā鐨勬梾
琛屽晢闂锛屽彲浠ラ噰鍙栫┓涓炬硶寰楀埌鏈�浼樿矾寰勶紝浣嗗浜庡ぇ鍨嬫梾琛屽晢闂锛屽垯寰堥毦
閲囩敤绌蜂妇娉曡繘琛岃绠椼�?/p>
鍦ㄧ敓娲讳腑
TSP
鏈夌潃骞挎硾鐨勫簲鐢紝鍦ㄤ氦閫氭柟闈紝濡備綍瑙勫垝鍚堢悊楂樻晥鐨勯亾璺?/p>
浜ら�氾紝浠ュ噺灏戞嫢鍫碉紱鍦ㄧ墿娴佹柟闈紝鏇村ソ鐨勮鍒掔墿娴侊紝鍑忓皯杩愯惀鎴愭湰锛涘湪浜掕仈
缃戜腑锛?/p>
濡備綍璁剧疆鑺傜偣锛?/p>
鏇村ソ鐨勮淇℃伅娴佸姩銆?/p>
璁稿瀹為檯宸ョ▼闂灞炰簬澶ц妯?/p>
TSP
锛?/p>
Korte
浜?/p>
1988
骞存彁鍑虹殑
VLSI
鑺墖鍔犲伐闂鍙互瀵瑰簲浜?/p>
1.2e6
鐨勫煄甯?/p>
TSP
锛?/p>
Bland
浜?/p>
1989
骞存彁鍑?/p>
X-ray
琛嶅皠闂瀵瑰簲浜?/p>
14000
鍩庡競
TSP
锛?/p>
Litke
浜?/p>
1984
骞存彁鍑虹數璺澘璁捐涓捇瀛旈棶棰樺搴斾簬
17000
鍩庡競
TSP
锛?/p>
浠ュ強
Grotschel1991
骞?/p>
鎻愬嚭鐨勫搴斾簬
442
鍩庡競
TSP
鐨?/p>
PCB442
闂銆?/p>