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Travelling Salesman Problem Example Pdf Download

 
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MessagePosté le: Lun 31 Oct - 09:26 (2016)    Sujet du message: Travelling Salesman Problem Example Pdf Download Répondre en citant




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Travelling Salesman Problem Example Pdf Download

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Upper...bound[edit]....(2006),....The....Traveling....Salesman....Problem....and....Its....Variations,....Springer,....ISBN0-387-44459-9.....Solution...to...a...symmetric...TSP...with...7...cities...using...brute...force...search....type...Status...report....As...a...matter...of...fact,...the...term..."algorithm"...was...not...commonly...extended...to...approximation...algorithms...until...later;...the...Christofides...algorithm...was...initially...referred...to...as...the...Christofides...heuristic....Ant....Colony....Optimization....Algorithm....for....a....TSP....with....7....cities:....Red....and....thick....lines....in....the....pheromone....map....indicate....presence....of....more....pheromone.........2570,....Springer,....pp.185207.....Applegate,....D.....Lawler,...E....

Contents..1..History..2..Description..2.1..As..a..graph..problem..2.2..Asymmetric..and..symmetric..2.3..Related..problems..3..Integer..linear..programming..formulation..4..Computing..a..solution..4.1..Exact..algorithms..4.2..Heuristic..and..approximation..algorithms..4.2.1..Constructive..heuristics..4.2.1.1..Christofides'..algorithm..for..the..TSP..4.2.2..Iterative..improvement..4.2.3..Randomized..improvement..4.2.3.1..Ant..colony..optimization..5..Special..cases..of..the..TSP..5.1..Metric..TSP..5.2..Euclidean..TSP..5.3..Asymmetric..TSP..5.3.1..Solving..by..conversion..to..symmetric..TSP..5.4..Analyst's..travelling..salesman..problem..5.5..TSP..path..length..for..random..sets..of..points..in..a..square..5.5.1..Upper..bound..5.5.2..Lower..bound..6..Computational..complexity..6.1..Complexity..of..approximation..7..Human..performance..on..TSP..8..Natural..computation..9..Benchmarks..10..Popular..culture..11..See..also..12..Notes..13..References..14..Further..reading..15..External..links.....Held..and..Karp[29]..gave..a..polynomial-time..algorithm..that..provides..numerical..lower..bounds..for..L..n..∗..{displaystyle..L{n}^{*}}..,..and..thus..for..β..(..≃..L..n..∗../..n..)..{displaystyle..beta..(simeq..L{n}^{*}/{sqrt..{n}})}..which..seem..to..be..good..up..to..more..or..less..1%.[30]..In..particular,..David..S...S.;..McGeoch,..L...In..the..following..decades,..the..problem..was..studied..by..many..researchers..from..mathematics,..computer..science,..chemistry,..physics,..and..other..sciences...Note:....Number....of....permutations:....(7-1)!/2....=....360.........where...0.522...comes...from...the...points...near...square...boundary...which...have...fewer...neighbours,...and...Christine...L....(Alternatively,....the....ghost....edges....have....weight....0,....and....weight....w....is....added....to....all....other....edges.)....The....original....33....matrix....shown....above....is....visible....in....the....bottom....left....and....the....inverse....of....the....original....in....the....top-right.....In...the...rectilinear...TSP...the...distance...between...two...cities...is...the...sum...of...the...differences...of...their...x-...and...y-coordinates....

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