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浣滆揣閮庢媴闂锛岀畝鍗曟弿杩颁负锛氫竴涓梾琛屽晢闇�瑕佹嫓璁?/p>
n
涓煄甯傦紙
1
锛?/p>
2
锛屸�︼紝
n
锛?/p>
锛屼粬
蹇呴』閫夋嫨鎵�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?/p>
寰勬渶鐭�?/p>
鍏舵渶鏃╃殑鎻忚堪鏄?/p>
1759
骞存鎷夌爺绌剁殑楠戝＋鍛ㄦ父闂锛?/p>
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?/p>
锛屽叾涓?/p>
V
鏄《鐐归泦锛?/p>
E
鏄竟闆嗭紝璁?/p>
D=
锛?/p>
d
ij
锛夋槸鏈夐《鐐?/p>
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轰竴鏉￠�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
锛屸�︼紝
ti
锛屸�︼紝
tn)
锛屽叾涓璽i鈭圴(i=1锛?/p>
2
锛?/p>
3
锛屸�︼紝
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
锛屸�︼紝
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?/p>
鍙互閲囧彇绌?/p>
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>